I will mark you brainiest!

Since ∠1 ≅ ∠3 and ∠3 ≅ ∠7, then:

A) ∠6 ≅ ∠7
B) ∠7 ≅ ∠8
C) ∠1 ≅ ∠7

I Will Mark You Brainiest!Since 1 3 And 3 7, Then:A) 6 7B) 7 8C) 1 7

Answers

Answer 1

Answer:

C) ∠1 ≅ ∠7

Step-by-step explanation:

If ∠1 = ∠3, then ∠3 = ∠7, behind there is written ∠1 = ∠3, so it's A) ∠1 = ∠7.


Related Questions

Given x-intercepts of (-1,0), (6, 0) and point (-2, 2) that lies on the
quadratic graph, which equation below represents the correct quadratic
equation in standard form?

Answers

Answer:

y = (-1/3)x^2 - 2x + 5/3

Step-by-step explanation:

To find the quadratic equation that passes through these points, we can start by using the standard form of a quadratic equation:

y = ax^2 + bx + c

We know that the graph passes through the point (-2,2), so we can substitute these values into the equation:

2 = a(-2)^2 + b(-2) + c

Simplifying this equation, we get:

4a - 2b + c = 2

We also know that the graph has x-intercepts at (-1,0) and (6,0). This means that when x = -1 and x = 6, the value of y (i.e., the height of the graph) is 0. We can use these two points to write two more equations:

0 = a(-1)^2 + b(-1) + c

0 = a(6)^2 + b(6) + c

Simplifying these equations, we get:

a - b + c = 0

36a + 6b + c = 0

Now we have a system of three equations:

4a - 2b + c = 2

a - b + c = 0

36a + 6b + c = 0

We can solve for a, b, and c using any method of solving systems of equations. One way is to use substitution:

From the second equation, we get:

c = b - a

Substituting this into the other two equations, we get:

4a - 2b + (b - a) = 2

36a + 6b + (b - a) = 0

Simplifying these equations, we get:

3a - b = 1

35a + 7b = -b

Multiplying the first equation by 7 and adding it to the second equation, we eliminate b:

21a = -7

a = -1/3

Substituting this value of a into the first equation, we can solve for b:

4(-1/3) - 2b + (b - (-1/3)) = 2

-4/3 - b + b + 1/3 = 2

b = -2

Finally, we can use either of the first two equations to solve for c:

c = a - b = (-1/3) - (-2) = 5/3

So the quadratic equation in standard form is:

y = (-1/3)x^2 - 2x + 5/3

Just need to answer to this geometry question, Its a throw back for me.

Answers

As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

What are similar triangles?

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

To know more about similar triangles, visit:

https://brainly.com/question/14366937

#SPJ1

Find, correct to four decimal places, the length of the curve of intersection of the cylinder4x^2 + y^2 = 4and the planex + y + z = 6

Answers

The length of the curve of intersection, correct to four decimal places, is 27.7128 units.

To find the length of the curve of intersection, we need to first parameterize the curve.

From the equation of the cylinder, we have:

4x² + y² = 4

Dividing both sides by 4, we get:

x²/1 + y²/4 = 1

This is the equation of an ellipse centered at the origin with semi-major axis a=1 and semi-minor axis b=2.

From the equation of the plane, we have:

x + y + z = 6

Solving for z, we get:

z = 6 - x - y

So the equation of the curve of intersection is:

r(t) = <t, 2sin(t), 6-t-2sin(t)>

where 0 <= t <= 2π.

To find the length of the curve, we need to integrate the magnitude of its derivative with respect to t:

L = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

Taking the derivative of r(t), we get:

r'(t) = <1, 2cos(t), -1-2cos(t)>

So the magnitude of r'(t) is:

|r'(t)| = √(1² + (2cos(t))² + (-1-2cos(t))²) = √(9+9cos(t)²)

Therefore, the length of the curve is:

L = ∫_0⁽²π⁾ √(9+9cos(t)²) dt

This integral can be solved using the substitution u = tan(t/2), which gives:

L = 18∫_0∞ 1/√(1+u²) du

This integral can be evaluated using trig substitution, letting u = tanθ, which gives:

L = 18∫_0⁽π/²⁾ secθ dθ = 18 ln|sec(π/4)+tan(π/4)| = 18 ln(1+√2)

Using a calculator, we get:

L ≈ 27.7128

Therefore, the length of the curve of intersection, correct to four decimal places, is 27.7128 units.

Learn more about cylinder here: brainly.com/question/16134180

#SPJ4

Find the length of AD in the figure.

Answers

Answer:

[tex]\sqrt{122}[/tex] units

Step-by-step explanation:

To find the distance between points A(1,3) and D(2,-8), we can use the distance formula:

distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plugging in the coordinates, we get:

distance = [tex]\sqrt{(2 - 1)^2 + (-8 - 3)^2}[/tex]

distance = [tex]\sqrt{1^2 + (-11)^2}[/tex]

distance = [tex]\sqrt{122}[/tex]

Therefore, the distance between points A(1,3) and D(2,-8) is [tex]\sqrt{122}[/tex] units.

the simplest form of the expression sqr3-sqr6/sqr3+sqr6?

Answers

Answer:

1 - [tex]\frac{2\sqrt{2} }{3}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3}-\sqrt{6} }{\sqrt{3}+\sqrt{6} }[/tex]

rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

the conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{6}[/tex]

= [tex]\frac{(\sqrt{3}-\sqrt{6})(\sqrt{3}-\sqrt{6}) }{(\sqrt{3}+\sqrt{6})(\sqrt{3}-\sqrt{6}) }[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{3-\sqrt{18}-\sqrt{18}+6 }{3-\sqrt{18}+\sqrt{18}+6 }[/tex]

= [tex]\frac{9-2\sqrt{18} }{3+6}[/tex]

= [tex]\frac{9-2(3\sqrt{2}) }{9}[/tex]

= [tex]\frac{9-6\sqrt{2} }{9}[/tex]

= [tex]\frac{9}{9}[/tex] - [tex]\frac{6\sqrt{2} }{9}[/tex]

= 1 - [tex]\frac{2\sqrt{2} }{3}[/tex]

(cosθsinθ−sinθcosθ)
How was this matrix derived?

Answers

the matrix [cosθ sinθ; -sinθ cosθ] represents the rotation of a vector by an angle θ in the counterclockwise direction.

The matrix you have provided is the 2x2 rotation matrix for rotating a vector in the two-dimensional plane by an angle of θ in the counterclockwise direction.

To understand how this matrix is derived, let's consider a vector v = [x, y] in the two-dimensional plane. We want to rotate this vector by an angle of θ in the counterclockwise direction.

We can represent the vector v as a column matrix [x, y] and then multiply it by a rotation matrix R(θ) to obtain the rotated vector. The rotation matrix R(θ) is defined as follows:

cos(θ) -sin(θ)

sin(θ) cos(θ)

Multiplying the vector v by the rotation matrix R(θ) gives:

[x', y'] = [x, y] * R(θ)

[x', y'] = [x cos(θ) - y sin(θ), x sin(θ) + y cos(θ)]

Thus, the rotated vector v' is given by:

v' = [x', y'] = [x cos(θ) - y sin(θ), x sin(θ) + y cos(θ)]

We can see that the elements of the rotation matrix R(θ) correspond to the cosine and sine of the rotation angle θ. The matrix element in the first row and first column (cosθ) gives the amount of x that is rotated into the x' direction, while the matrix element in the first row and second column (-sinθ) gives the amount of y that is rotated into the x' direction. Similarly, the matrix element in the second row and first column (sinθ) gives the amount of x that is rotated into the y' direction, while the matrix element in the second row and second column (cosθ) gives the amount of y that is rotated into the y' direction.

Thus, the matrix [cosθ sinθ; -sinθ cosθ] represents the rotation of a vector by an angle θ in the counterclockwise direction.

To know more about rotation matrix  click here:

brainly.com/question/30585139

#SPJ4

1.
What is the average rate of change between
the points (3,9) and (5, 15)?

Answers

Therefore, the average rate of change between the points (3,9) and (5,15) is 3.

What is coordinates?

Coordinates are a set of values that locate the position of a point in space. In mathematics, coordinates are used to represent the position of points on a plane or in space, using a set of numerical values that correspond to the distance along each axis from an origin point. In two-dimensional Cartesian coordinate systems, for example, a point is represented by two numbers (x, y) that indicate its position relative to the x and y axes. In three-dimensional Cartesian coordinate systems, a point is represented by three numbers (x, y, z) that indicate its position relative to the x, y, and z axes.

Here,

The average rate of change between the points (3,9) and (5,15) is the slope of the line passing through those two points. We can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (3,9) and (x2, y2) = (5,15).

slope = (15 - 9) / (5 - 3)

= 6 / 2

= 3

To know more about coordinates,

https://brainly.com/question/16634867

#SPJ1

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to make pairs of equivalent expressions.

Answers

Answer:

Pair 1 Pair 2 Pair 3

a^6b^4 a^2b^2 a^-562

a^5b^3 a^-36-1 ab^-4

b^3 95 a^-46-2 a^-263

a^-362 66            ཚ

10 POINTS NEED HELP ASAP!!!! PLEASE HELP ME FIND THE AREA AND THE PERIMETER!!

Answers

The area of the composite shape using the area formula for the different shapes is 460.48ft².

What are composite shapes?

The area of composite shapes refers to the space occupied by any composite shape. A composite shape is a shape that is made by connecting a few polygons to form the required shape.

These figures or shapes can be built from a wide range of shapes, such as triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

Now in the question,

First let us find the area of the semi-circle.

Area of semi-circle = πr²/2

= [3.14 × (16/2) ²]/2

= (3.14 × 8²)/2

= 200.96/2

= 100.48ft²

Now coming to the rectangle,

area of the rectangle = l × b

= 20 × 15

= 300ft²

Now for calculating the area of the triangle,

area = 1/2 × b × h

= 1/2 × 12 × 10

= 60ft²

Therefore, the area of the total figure = 100.48 + 300 + 60 = 460.48ft².

To know more about composite shapes, visit:

brainly.com/question/30667634

#SPJ1

Solve the given initial-value problem. y''' − 2y'' + y' = 2 − 24ex + 40e5x, y(0) = 1 2 , y'(0) = 5 2 , y''(0) = − 11 2

Answers

Answer:

Step-by-step explanation:

To solve the initial-value problem y''' − 2y'' + y' = 2 − 24ex + 40e5x, y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2, we first find the characteristic equation by assuming that y = e^(rt):

r^3 - 2r^2 + r = 0

r(r^2 - 2r + 1) = 0

r(r-1)^2 = 0

r = 0, 1, 1

Therefore, the general solution to the homogeneous equation y''' − 2y'' + y' = 0 is:

y_h = c1 + c2e^x + c3xe^x

To find the particular solution to the non-homogeneous equation y''' − 2y'' + y' = 2 − 24ex + 40e5x, we guess a particular solution of the form:

y_p = Ax^2e^5x + Be^x

y_p' = (2Ax + 5Ax^2)e^5x + Be^x

y_p'' = (10Ax^2 + 4Ax + 25Ax^2)e^5x + Be^x

y_p''' = (70Ax^2 + 60Ax + 10A + 25Ax^2)e^5x + Be^x

Substituting these expressions into the original equation, we get:

(70Ax^2 + 60Ax + 10A + 25Ax^2)e^5x + Be^x − 2[(10Ax^2 + 4Ax + 25Ax^2)e^5x + Be^x] + [(2Ax + 5Ax^2)e^5x + Be^x] = 2 − 24ex + 40e5x

Simplifying, we get:

(45Ax^2 + 2Ax − 2)e^5x + Be^x = 2 − 24ex + 40e5x

Equating the coefficients of the like terms on both sides, we get:

45A = 40

2A − 2 = 0

B = 2

Therefore, the particular solution is:

y_p = 8/9 x^2e^5x + 2e^x

The general solution to the non-homogeneous equation is therefore:

y = c1 + c2e^x + c3xe^x + 8/9 x^2e^5x + 2e^x

Using the initial conditions y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2, we get:

c1 + c2 + 2 = 1/2

c2 + 2c3 + 5/2 = 5/2

2c2 + 10/9 + 10 = -11/2

Solving this system of equations, we get:

c1 = 1/9

c2 = -25/18

c3 = 0

Therefore, the solution to the initial-value problem y''' − 2y'' + y' = 2 − 24ex + 40e5x, y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2 is:

y = 1/9 - 25/18e^x + 8/9

Calculate the following limits?

Answers

The answer of the given question based on the limits the answers are as follows, (a)  lim f(x) = 1 , (b)  lim f(x) = 3 , (c)  lim f(x) = 3.

What is Graph?

A graph is  visual representation of data that shows the relationship between two or more variables. Graphs can be used to display  wide variety of information, including numerical data, functions, and networks. The most common types of graphs like line graphs, bar graphs, scatter plots, and pie charts.

Graphs are widely used in many fields, like science, economics, engineering, and social sciences, to help people understand and analyze complex data. They are  powerful tool for visualizing trends, patterns, and relationships, and are often used to communicate findings to wider audience.

a) The limit of f(x) as x approaches 2 from the left:

We can see from the graph that as x approaches 2 from the left, f(x) approaches 1. Therefore, we can write:

lim f(x) = 1

x→2-

b) The limit of f(x) as x approaches 2 from the right:

Similarly, as x approaches 2 from the right, f(x) approaches 3. Therefore:

lim f(x) = 3

x→2+

c) The limit of f(x) as x approaches 2:

Since the limit from the left and the limit from the right exist and are equal, we can say that the limit of f(x) as x approaches 2 exists and equals the common value of the left and right limits. Therefore:

lim f(x) = 3

x→2

To know more about Variable visit:

https://brainly.com/question/2466865

#SPJ1

A company's website states their oven temperatures
display may vary up to 35 degrees higher or lower than the temperature being
produced. Based on this statement, which of the following can represent an
oven's actual temperature, t, if it is displaying a temperature of 350 degrees?
x + 350 = 35
x - 350 =35
x + 35 = 350
x-35 = 350
x≤ 315 and x ≥ 385
315 ≤ x ≤ 385
-∞0 ≤x≤ ∞0

Answers

Answer:

The correct answer is:

315 ≤ t ≤ 385

This is because the oven temperature display can vary up to 35 degrees higher or lower than the actual temperature being produced. Therefore, the actual temperature (t) could be 35 degrees higher or lower than the displayed temperature (350 degrees), resulting in a range of possible temperatures from 315 to 385 degrees.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Similar shapes are shapes whose lengths are in equivalent ratio. [tex]\Delta ABC[/tex] and [tex]\Delta DE[/tex][tex]F[/tex] are similar because the side lengths of both triangles are in equivalent ratio (refer to attachment)

Step 1: Draw a random triangle [tex]\Delta ABC[/tex]

The lengths of two sides and an angle are:

[tex]AB=10[/tex]

[tex]BC=6[/tex]

[tex]\angle C=90^o[/tex]

Step 2: Draw and measure the length of DE

[tex]DE=15[/tex]

Step 3: Calculate the ratio

The corresponding line segment to DE is line segment AB.

So, the ratio (k) is:

[tex]k=\dfrac{DE}{AB}[/tex]

[tex]k=\dfrac{15}{10}[/tex]

[tex]k=1.5[/tex]

Step 4: Multiply the ratio by the other line segment in step 1

In (1), we have:

[tex]BC=6[/tex]

So:

[tex]EF=k\times BC[/tex]

[tex]EF=1.5\times6[/tex]

[tex]EF=9[/tex]

Step 5: Draw a circle with center F and radius EF  

The center of the circle is point F and the radius of the circle is 9 units

Step 6: Draw a ray from the center (i.e. point F) to DE

Refer to the attached image for

Triangle ABCTriangle DEFCircle with center F and radius 9Ray from F to DE

Read more about angles, triangles and circles at:

https://brainly.com/question/11659907

under the normal distribution, if the mean of the distribution of raw scores is equal to 100, then its equivalent z-score is equal to

Answers

The equivalent z-score for a raw score of 115 under a normal distribution with a mean of 100 and a standard deviation of 15 is 1.

Under the normal distribution, if the mean of the distribution of raw scores is equal to 100 and the standard deviation is known, we can use the z-score formula to calculate the equivalent z-score for any given raw score.

The z-score formula is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean of the distribution, σ is the standard deviation of the distribution, and z is the corresponding z-score.

Since the mean of the distribution is 100, we have μ = 100. To calculate the z-score, we need to know the standard deviation of the distribution or have information about the distance of the raw score from the mean in terms of standard deviations.

If we assume that the standard deviation is 15, which is a common value used in educational testing, and the raw score is 115, then the corresponding z-score would be:

z = (115 - 100) / 15 = 1

To learn more about z-score click on,

https://brainly.com/question/29382070

#SPJ4

Rewrite without absolute value for the given condition: |(square root 2) +3 -5|

Answers

Answer: We can simplify the expression inside the absolute value first:

|(sqrt(2) + 3 - 5)|

= |(sqrt(2) - 2)|

Since sqrt(2) > 2, we know that sqrt(2) - 2 is negative. Therefore, we can rewrite the absolute value as a negative:

|sqrt(2) - 2| = -(sqrt(2) - 2)

So the expression without absolute value is:

-(sqrt(2) - 2)

Step-by-step explanation:

Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C.

Answers

The numbers of ways in which we can select the letters without replacement are: a. order relevant - 6 ways. b. order not relevant- 3 ways.

What are combinations and permutations?

Both permutations and combinations count the number of possible ways to select a particular number of things from a bigger collection of options. The distinction is that whereas combinations ignore the order of the components, permutations do. In other words, combinations don't care about the order in which the elements are selected, but permutations require arranging the components in a certain sequence.

Given that, we want to choose 2 letters, without replacement.

a. When the order is relevant we have the following choices:

3 options for the first letter and 2 options for the second letter, that is:

3 x 2 = 6 ways

b. If the order is not relevant we use combinations:

n C r = n! / (r! (n-r)!)

3 C 2 = 3! / (2! (3-2)!) = 3

Hence, the numbers of ways in which we can select the letters are: a. order relevant - 6 ways. b. order not relevant- 3 ways.

Learn more about combinatorics here:

https://brainly.com/question/13320492

#SPJ1

The complete question is:

Best describes , whats the best possible answer

Answers

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

let z be a standard normal random variable. find the values of a such that p({z > 1.35}) or {z > 2.34})

Answers

The values of a such that p({z > 1.35}) or {z > 2.34}) is 0.0981.

Let z be a standard normal random variable.

The standard normal distribution is a probability distribution that is symmetric around a mean of zero and has a standard deviation of one. It is also referred to as the Gaussian distribution or the normal distribution. This distribution is commonly used in the field of statistics to measure the likelihood of certain outcomes.

We have to determine the values of a such that p({z > 1.35}) or {z > 2.34}).

p(z > 1.35) + p(z > 2.34) = p(z > a)

After using the standard normal distribution table.

0.0885 + 0.0096 = p(z > a)

p(z > a) = 0.0981

p(z > 1.29) = 0.0981

To learn more about standard normal random link is here

brainly.com/question/14782203

#SPJ4

can you find c and b?
c=?
b=?

Answers

The value of the constant c that makes the following function are c = 0.

What is constant ?

Constant is a term used to describe a value that remains unchanged or fixed throughout a program or process. It can be a numeric value, a character value, a string, or a Boolean (true/false) value. Common examples of constants include physical constants, mathematical constants, and programming-language keywords.A constant is a value that does not change, regardless of the conditions or context in which it is used. Common examples of constants include mathematical values such as pi (3.14159), physical constants such as the speed of light (299,792,458 m/s), and other constants such as the universal gravitational constant (6.67408 × 10−11 m3 kg−1 s−2).

To learn more about constant

https://brainly.com/question/27598477

#SPJ1

Therefore, c must equal 0 in order for the two sides of the function to be equal. and The one with the greater absolute value is b = 10.

What is function?

A function is a block of code that performs a specific task. It is a subprogram or a set of instructions that can be used multiple times in a program.

27. For the function to be continuous at x = 7, the limit of the function as x approaches 7 from the left must equal the limit of the function as x approaches 7 from the right.
This means that the value of y as x approaches 7 must be the same on both the left and right sides of the point.
Since the left side of the function is y = c*y + 3, the right side of the function must also be equal to y = c*y + 3.
Therefore, c must equal 0 in order for the two sides of the function to be equal.

28. In order for the function to be continuous at x = 5, the value of y at x = 5 must be the same on both the left and right sides of the point.
Since the left side of the function is y = b - 2x, the right side of the function must also be equal to y = b - 2x.
Therefore, b must equal 10 in order for the two sides of the function to be equal.

To learn more about function

https://brainly.com/question/11624077

#SPJ1

Complete Question:

Which of the following tables represents a linear relationship that is also proportional?


x 2 3 4
y −3 0 3

x 4 2 0
y −2 −1 0

x −2 1 4
y 0 1 2

x 0 1 2
y −4 0 4

Answers

Answer:

This table represents a linear relationship that is also proportional:

x 0 1 2

y −4 0 4

Answer:

The second table represents a linear relationship that is also proportional.

To check if a relationship is proportional, we need to see if the ratio of y to x is constant for all values of x and y. In other words, if we divide any y value by its corresponding x value, we should get the same number for all values.

Let's check the ratio for each table:

Ratio for the first table:

-3/2 = -1.5

0/3 = 0

3/4 = 0.75

The ratio is not constant, so this relationship is not proportional.

Ratio for the second table:

-2/4 = -0.5

-1/2 = -0.5

0/0 = undefined

The ratio is constant (-0.5), so this relationship is proportional.

Ratio for the third table:

0/(-2) = 0

1/1 = 1

2/4 = 0.5

The ratio is not constant, so this relationship is not proportional.

Ratio for the fourth table:

-4/0 = undefined

0/1 = 0

4/2 = 2

The ratio is not constant, so this relationship is not proportional.

Therefore, the second table is the only one that represents a linear relationship that is also proportional.

There is 32 students in class.8 boys out of 20 wear cap and 8 girls out of 12 wear spectacles find the probability that the student is boy who wears cap or girls who doesn't wear spectacles ​

Answers

Answer:

Boy = 40%

Girl = 66.6%

Step-by-step explanation:

1) Work out probability that student is a boy who wears cap

8 boys out of 20 wears a cap so to find the probability we have to do 8 divided by 20

8 ÷ 20 = 0.40.4 × 100 = 40%

2) Work out probability for girls who doesn't wear spectacles

To find the probability of girls who doesn't wear spectacles we have to do 8 divided by 12

8 ÷ 12 = 0.666...(recurring)0.666...(recurring) × 100 = 66.6%

Hope this helps, have a lovely day! :)

Help would be greatly appreciated.

Answers

The description of the ensembles would be: 1. Students who attend both recitals, 2. Students who attend one of the two recitals, 3. students who attend both recitals, 4.The difference between the set P and U, that is, 3 students.

How to graph the information?

To graph the information in a Venn diagram we must take into account the information in the statement. In this case we must place 6 students outside the circles because there are 6 who do not attend any activity.

So, there would be 34 remaining students, of which 20 go to the piano recital and 23 to the voice recital. So, we can establish that 20 go to both recitals, 3 go to the voice recital, and 1 go to the piano recital.

Learn more about Venn diagram in: https://brainly.com/question/29301560

#SPJ1

Rewrite without parentheses.
-6xy²(8y^6-3x^4+4)
Simplify your answer as much as possible.

with step by step please

Answers

Answer:  Sure! Here's how you can rewrite -6xy²(8y^6-3x^4+4) without parentheses:

Start by distributing the -6xy² to the terms inside the parentheses:

-6xy²(8y^6) - (-6xy²)(3x^4) - (-6xy²)(4)

Simplify each term using the product rule of exponents:

-48x y^8 + 18x^5 y^2 + 24xy²

So the final answer, without parentheses and simplified, is:

-48x y^8 + 18x^5 y^2 + 24xy²

Enjoy!

Step-by-step explanation:

Two particles, P and Q, move along a straight line.
The fixed point O lies on this line.
The displacement of P from O at time t seconds is s metres, where
s=t³-4t²+5t for t > 1
The displacement of Q from O at time t seconds is x metres, where
x=t²-4t+4 for t>1
Find the range of values of where t > 1 for which both particles are moving in the
same direction along the straight line.

Answers

The range of values for t where both particles are moving in the same direction along the straight line is 1 < t < 2 or t > 2.

What is derivative of a function?

A function's derivative is a gauge of how quickly the function is altering at a specific moment. It is that point's tangent line's slope to the function. The limit of the difference quotient as the change in x becomes closer to zero is the definition of the derivative, which is represented by the symbols f'(x) or dy/dx.

Given the displacement of the two particles, the velocity of the given particles can be calculated using the derivative of the distance as follows:

s=t³-4t²+5t

s'(t) = 3t² - 8t + 5 and,

x=t²-4t+4

x'(t) = 2t - 4

Case 1: Both velocities are positive

s'(t) > 0 and x'(t) > 0

3t² - 8t + 5 > 0 and 2t - 4 > 0

t < 1 or t > 2

Case 2: Both velocities are negative

s'(t) < 0 and x'(t) < 0

3t² - 8t + 5 < 0 and 2t - 4 < 0

1 < t < 2

Therefore, the range of values for t where both particles are moving in the same direction along the straight line is 1 < t < 2 or t > 2.

Learn more about derivative here:

https://brainly.com/question/25324584

#SPJ1

Amadou is going to invest $16,000 and leave it in an account for 20 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Amadou to end up with $44,000?

Answers

Amadou is going to invest \( \$ 16,000 \) and leave it in an account for 20 years.

Find the surface area of the figure on the right.

Answers

The fig's right side of total surface = 42yds.

What is surface area?

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

According to our question-

(17+17+8)yds

42yds

learn more about surface area click here:

https://brainly.com/question/16519513

#SPJ1

Find the equation of the tangent through the point (2,-2) to the hyperbola x² + y² = 16​

Answers

Answer: y = -x

Step-by-step explanation:

The equation of the hyperbola is x² - y² = 16.

Taking the derivative of the equation with respect to x, we get:

2x - 2yy' = 0

y' = x / y

At the point (2,-2), we have x = 2 and y = -2. Thus, the slope of the tangent is:

y' = 2 / (-2) = -1

So, the equation of the tangent through the point (2,-2) is:

y + 2 = -1(x - 2)

y + 2 = -x + 2

y = -x

You run 3 laps around a rectangular field. The field is 100 meters long and 97 meters wide. How many meters do you run?

Answers

The distance around the rectangular field can be calculated using the formula:

distance = 2(length + width)

In this case, the length is 100 meters and the width is 97 meters. So the distance around the field is:

distance = 2(100 + 97) = 2(197) = 394 meters

Since you run 3 laps around the field, the total distance you run is:

total distance = 3 × distance around the field
total distance = 3 × 394 meters
total distance = 1182 meters

Therefore, you run 1182 meters in total.

Samir's statement shows a previous balance of $5,336.22, a payment of $607, and a
new transaction totaling $186. What is his new balance if his APR is 29.0%? Round
answer to hundredths place if answer does not have a hundredths place this use
zeros so it does. Do not include the units. Be sure to attach work for credit
Your Answer:

Answers

Samir's new balance is $5,044.17.

To calculate Samir's new balance, add the previous balance, subtract the payment, add the new transaction, and multiply by the interest rate for one period. The following formula can be used to calculate the interest for a single period:

balance * APR / 12 = interest

where APR stands for annual percentage rate and 12 represents the number of months in a year.

When we apply this formula to Samir's balance and APR, we get:

5336.22 * 0.29 / 12 = 128.95 in interest

As a result, the total new balance is:

5336.22 - 607 + 186 + 128.95 = 5044.17

We get the following when we round to the nearest hundredth:

$5,044.17

As a result, Samir now has a balance of $5,044.17.

To know more similar question visit:

https://brainly.com/question/30938788

#SPJ1

(c)yz dx + xz dy + xy dz, where c consists of straight-line segments joining (1, 0, 0) to (0, 1, 0) to (0, 0, 1) (d) x2 dx-xy dy + dz, where c is the parabola z = x2, y = 0 from (-1, 0, 1) to (1, 0, 1)

Answers

The value of the line integral is 1/2.

To evaluate this line integral, we need to parameterize the curve C that consists of straight-line segments joining (1, 0, 0) to (0, 1, 0) to (0, 0, 1).

Let's parameterize the first segment from (1,0,0) to (0,1,0) using t as the parameter

r(t) = (1-t) * <1,0,0> + t * <0,1,0>

= <1-t, t, 0>

where 0 ≤ t ≤ 1.

Now, let's parameterize the second segment from (0,1,0) to (0,0,1) using s as the parameter

r(s) = (1-s) * <0,1,0> + s * <0,0,1>

= <0, 1-s, s>

where 0 ≤ s ≤ 1.

We can then use the parameterization of C to evaluate the line integral:

∫_c yz dx + xz dy + xy dz

= ∫_0^1 yz dx/dt dt + xz dy/dt dt + xy dz/ds ds

= ∫_0^1 (t(1-t)) 0 dt + ((1-t)t) 0 dt + ((1-t)t) ds

= ∫_0^1 (1-t)t ds

= 1/2

Learn more about line integral here

brainly.com/question/12440198

#SPJ4

The given question is incomplete, the complete question is:

∫_c yz dx + xz dy + xy dz, where c consists of straight-line segments joining (1, 0, 0) to (0, 1, 0) to (0, 0, 1)  Evaluate Line Integrals

Other Questions
Jacobil and her friends are making a large homemade circular pizza. Jacobi cut her piece of pizza and it formed a sector with a radius of 9 Inches and a central angle measuring 75. If the other 5 friendsequally share the remaining portion of the pizza, what is the approximate area of pizza each person receives? Use 3.14 for and round your answer to the nearest hundredth. suppose the annual growth rate of gdp in the united states is 4%. the gdp in the united states will double in years. multiple choice question. 8 35 17.5 280 An illusion is an indirect reference to something that the audience is expected to know. In his speech, King makes more than one allusion to the Declaration Of Independence. Identify the allusions and how they advance King's arguments Question 1A US company that has purchased inventory from a German supplier would be exposed to a net exchange gain on the unpaid balance ifa-The amount to be paid was denominated in dollarsb-The Dollar weakened in relation to the Euro and the Euro was the denominated currencyc-The Dollar strengthened relative to the Euro and the Euro was the denominated currencyd-The company signed a forward contract for the purchase of Euros TRUE OR FALSE in order for a film to be classified as a documentary, it cannot contain any statements of opinion, only facts how can you use documents e and f to argue that colonialism was more important than alliances and arms build-ups as the underlying cause of world war i? Domino's Pizza is an international pizza company that focuses on pizza delivery. Domino's operates in over 60 countries internationally. Approximately 90% of its stores are franchise owned with over 1,100 a. franchisors b. subordinates c. franchise systems d. managers e. franchisees What are RCRA containers? Churchill Manitoba: Polar Bear IncidentUse the following graphic organizer to record your thinking and evidence aboutthe polar bear incident.We are gathering information that will help determine who is responsible for theincident where the polar bear was hit by the tundra buggyWhat is the problem?A polar bear has been hit by a tundra buggy, and the driver has been found innocent.Who is, or are, responsible for this incident?CategoryWhat is evidence of their direct ORIndirect involvement?Who are thestakeholders?Tourist(SOCIAL)Mayor of Churchill(POLITICAL)Manager ofTourism andEconomicDevelopment(ECONOMIC)Naturalists(ENVIRONMENTAL)Where did you get this informationfrom? (Which quote/photographicevidence)ORWhat did you use to make yourInference?As a geographer you have carefully considered each of the perspectives (Social, Political, Economic andEnvironmental)What is your conclusion? Who is, or who is responsible for this incident? in the space below EXPLAIN how youcame to this conclusion. A movie theater offers a reduced price for an afternoon showing of a film. This type ofpricing is ________ pricing.A) location-basedB) customer-segmentedC) cost-basedD) product formE) time-based Describe considerations in dealing with pediatric patients and medication administration. In what ways are pediatric patients bodies different in terms of processing medications? How can you ensure safe medication administration for pediatric patients? What should you do if your dosage calculation is not considered safe according to the medications package insert? 13. what is the acc support service that is available to all registered students that provides access to things like free tutoring, student-use computers, and skills workshops? The listing broker may be due a commission, even when no sale occurred, if the:a) potential buyers is unable to obtain financingb) seller decides he no longer wants to sellc) seller refused buyers reasonable offersd) broker located a buyer who made an offer that metall of the sellers terms When a tuba is played, the player makes a buzzing sound and blows into one end of a tube that has an effective length of 3.50 m. The other end of the tube is open. If the speed of sound in air is 343 m/s, what is the lowest frequency the tuba can produce?Please show all work and formulas to receive credit for best answer You are managing a network and have used firewalls to create a screened subnet. You have a web server that internet users need to access. It must communicate with a database server to retrieve product, customer, and order information.How should you place devices on the network to best protect the servers? (Select two.)Put the web server on the private network.Put the database server inside the screened subnet.Put the database server on the private network.Put the database server and the web server inside the screened subnet.Put the web server inside the screened subnet. in part 1 of the popul vuh, the writer confirms he is writing after the world has been conquered by christians. compare these sounds to the percussive compositions you have already heard from indonesia and china. what is shared among these east and southeast asian forms of percussion, and what is unique about the korean variety? as characteristized in lecture, an oil spill is an example of: question 12 options: competition antagonism ammensalism commensalism 1) _____ includes restoring essential civil services, counterinsurgency, and humanitarian crises, while embarking on other supporting missions and tasks. Please see attached picture. Need help answering.