(05.01 LC)


Look at the figure shown below:


A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is e


Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.



Statement Reason

1. Segment ST is parallel to segment QR Given

2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent

3. Angle SPT is congruent to angle QPR Reflexive property of angles

4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate

5. (2x + 28):95 = Corresponding sides of similar triangles are in proportion


Which of the following can she use to complete statement 5? (1 point)



28:95



28:35



60:95



60:35

Answer:

[tex]f^{-1}(x)=\frac{2x}{x-1}[/tex]

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

[tex]f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}[/tex]

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

[tex]x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}[/tex]

The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)

Since the function can be rewritten as;

By making x the subject of the function;

By swapping x and y; we then have;

The inverse function is therefore; f-¹(x) = 2x/(x-1)

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Answer:

its always wrong

Step-by-step explanation:

any variable always has a holder of 1

so 01b doesnt equal 4

Answer:

coz it will be undefined

Step-by-step explanation:

coz it will be UNDEFINED

4/0=undefined

Answer:

add -15 and 9

Step-by-step explanation:

Answer:

4 times greater

Step-by-step explanation:

Prism A

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 5*6+ 6*7+ 5*7)

SA = 2(30+42+35)

SA = 2(107)

SA =214

Prism B

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 10*12+ 12*14+ 10*14)

SA = 2(120+168+140)

SA = 2(428)

SA =856

Robert is not correct

856/214 =4

Prism B is 4 times greater

Answer:

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Step-by-step explanation:

To find the surface area of a rectangular prism, use this formula:

[tex]A=2(wl+hl+hw)[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the values given for Prism A and Prism B into the formula to find each prism's surface area:

Prism A:

[tex]A=2(5 * 6+6 * 7+5 * 7)\\A = 2 (30 + 42 + 35)\\A = 214[/tex]

Prism B:

[tex]A=2(10*12+12*14+14*10)\\A = 2 (120 + 168 + 140)\\A = 856[/tex]

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

The correct option is B.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given 2 graphs in the diagram.

We are also given the equation of f(x) with its graph.

Furthermore, we have to find out the equation of g(x) from its graph.

We can see that the blue graph is just the red graph with its axis moved 2 units to the right.

We can find the horizontal transformation by:

g(x) = f(x - h)

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

g(x) = (x - 2)²

The correct option is B.

Hence, The correct option is B.

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(The given question is incomplete, the complete question is given below)

The graphs below have the same shape. What is the equation of the blue

graph?

f(x) = x²

g(x) = ?

A. g(x) = x² - 2

B. g(x) = (x - 2)²

C. g(x) = x + 2

D. Q(x) = (x + 2)²

Answer: There is a positive linear association

Step-by-step explanation:

The best fitted statement is

There is a positive linear association.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.

If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.

Here, the slope seems to be positive.

Thus, this is positive linear Association.

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Answer:B

Step-by-step explanation:

Thats right

Answer:

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Y = mx + b is the slope-intercept form of a straight line where  m = the slope of the line and b is the y-intercept.

Parallel lines have the same slope so the equation of a line parallel to

y = 1/2x + 13 could be  y =1/2x + 10 as they have the same slope of 1/2.

Equations which are perpendicular:

If the slope of one  is m then the slope of the perpendicular equation is -1/m.

So for y = 1/2 x + 13  an equation perpendicular could be y=  -(1 / 1/2) + 13

= y = -2x +  13

Answer:

60 degrees

Step-by-step explanation:

The measure of the angle ACE is 60 degrees.

An arc is simply a part of the circumference of a circle or other curve.

as we have arc AE is 120 degrees.

Then by the properties of the interior and the exterior arc, arc BD, which is angle ACE is 120/2=60 degrees.

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Answer:

D

Step-by-step explanation:

Happy I could help!

Answer:

B

Step-by-step explanation:

Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?  

Hope I helped you!

Answer:

460 kilometers

Step-by-step explanation:

The 262,400 solar cells cover around 27,000 square feet (2,500 m2) of space. 240 kilowatts of electricity can be generated from these solar arrays.which is an acre of solar panels and enough to power 10 average- sized homes with 110 kilowatts of power. The ISS orbits between 370 and 460 kilometers (230–286 miles) above Earth's surface.

Answer:

The total area of the top surface of all 16 solar panels should be 153,600 feet because the total area of one solar panel is 9,600 feet so since i need the total area of 16 i just multiply the total area of one solar panel with the amount of solar panels that i was given.

Step-by-step explanation:

Answer: n/2, n/2+1

Step-by-step explanation:

Consecutive numbers are always 1 more than the previous (n, n+1, n+2, n+...), and their sums are (like) n+n+1 or 2n+1 (n is the first number).

So in this situation (x is the first number);

n+1=x+x+1

n=x+x, n=2x

n/2=x

Meaning that the first number is n/2, and the second (n/2)+1 or just n/2+1.

I'm bad at explaining.

Answer:

<2 and <4 = 74 degrees

Step-by-step explanation:

<7=<1, alt exterior angles

<1=<3, opposite angles

<1+<2= 180

since angle one is 106 just subtract 106 from 180 and you get 74= <2

<2 and <4 are opposite angles so they are congruent

therefore, <2 and <4 = 74 degrees.

Answer:

shape and size

Step-by-step explanation:

When two triangles are congruent, they are the same via the size of it such as the angles they have. If one triangle has 30-60-90, the other also has 30-60-90, with the same shape.

Answer:

Size and shape.

Step-by-step explanation:

Size and shape.

All three angles and all three sides are congruent.

Answer:

The answer is at least 360 degrees.

Step-by-step explanation: A circle can't have more that a 360 degrees!

Hello !

((new value - old value) / old value) × 100

((30.60 - 25.50) / 25.50) × 100

= (5.10/25.50) × 100

= 0.2 × 100

= 20

→ The rate of increase is 20%

× × i hope i helped you ! × ×

Answer:

-1

Step-by-step explanation:

in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

hope this help

Answer:

the first graph

Step-by-step explanation:

Answer:

− 20 x ^2 + 5 x − 6

Step-by-step explanation:

Answer:

[tex]-20x^2+5x-6\\[/tex]

Step-by-step explanation:

Start by removing the grouping symbols (parentheses) using the sign rules:

[tex](-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3)=\\=-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3[/tex]

Then we re-order and combine like terms:

[tex]-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6[/tex]

Answer:

do you still need the answer?

Step-by-step explanation:

Answer:

SA. = 62.8 +87.92= 150.72

Step-by-step explanation:

surface area of cone without base = pi*r*s = 3.14 * 2* 10 = 62.8

Surface area of cylinder without base = 2*pi*r*h + pi*r*r

                                                               = 2* 3.14 * 2 * 6 + 3.14*2*2

                                                               = 75.36 + 12.56 = 87.92

SA. = 62.8 +87.92= 150.72

The required surface area of the solid is 150.72.

Given
slant length of cone = 10
length of cylinder = 6  
Common radius = 2

Surface area is defined as the area of the surface that are uncovered.

Surface area of cone = π x r xs
= 3.14 x 2 x 10
= 62.82

Surface area of cylinder  = 2 x π x r x h + π x r²
= 2 x 3.14 x 2 x 6 + 3.14 x 2 x 2
= 87.9
The required surface area of solid= surface area of cone + surface area of cylinder
= 62.80 + 87.9
= 150.72

Thus, the required surface area of the solid is 150.72.

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Answer:

Answer B is correct

Step-by-step explanation:

Congruent - SAS

LM = OP (side)

MN = PQ (side)

<M = < P ( angle)

hope this helps

brainliest appreciated

good luck! have a nice day!

Yes, ΔLMN ≅ ΔPQO. The postulate that applies as congruent is SAS. The correct answer is B.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given,

side LM ≅ side OP

side MN ≅ side PQ

∠M = ∠P

As per the shown figure, we have two triangles consist:

LM = OP (side)

∠M = ∠P ( angle)

MN = PQ (side)

According to Side-Angle-Side criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, ΔLMN congruent to ΔPQO.

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Hey!!!

Here's your answer:

<A=7x+40

<B=60 degree

7x+40+60=180( sum of angle in straight line)

or,7x+100=180

or,7x=180-100

or,7x=80

or,X=80/7

X=11.42

Now,

Replacing value,

<A=7x+40

=7*11.42+40

=79.94+40

= 119.94 degree

<B=60 degree

<C=<A[ being vertically opposite angles]

<C=119.94 degree

<D=<B[being vertically opposite angles]

<D=60 degree

<W=<A[ being corresponding angles]

<W=119.94 degree

<X=<B[being corresponding angles]

<X=60 degree

<Y=<W[being vertically opposite angles]

<Y=119.94 degree

<Z=<X[being vertically opposite angles]

<Z=60 degree.

Hope it will help you

Good luck on your assignment

Hey there! I'm happy to help!

In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.

So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.

1/2h=12

Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.

h=24

Therefore, the hypotenuse is C) 24.

I hope that this helps! Have a wonderful day!

Complete Question

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) [tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

[tex]\tan(\alpha)=\dfrac{Opposite}{Adjacent}[/tex]

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

[tex]25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units[/tex]

Therefore:

[tex]\tan(\alpha)=\dfrac{24}{7}[/tex]

The correct option is A

Answer:

ITS 7/25

Step-by-step explanation:

Answer:

b

{b}^{2} [/tex]

Answer:

2. 10 and 14

Step-by-step explanation:

10 and 14 are the only numbers that are 4 apart.

Answer:

I'm not 100% sure (sorry), but i think that the overall average speed was about 139 miles per hour

Step-by-step explanation: