50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple Choice Geometry Question. Photo Attached. Thank You!

Answers

Answer 1

The value of x is 9.

Given,

Trapezoid with two bases and median.

base 1 = 44

base 2 = 2x + 10

median = 36

Now,

In trapezoid two bases will be parallel to each other.

Median = 1/2(sum of two bases)

From the formula of median the value of x will be,

Median = 1/2( base 1 + base 2 )

Substitute the values,

36 = 1/2( 44 + 2x + 10 )

72 = 54 + 2x

x = 9

Hence both the bases of trapezoid are obtained.

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Related Questions

TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10 , find the value of x

Answers

Answer:

  x = 35

Step-by-step explanation:

The angle sum theorem can be used to find the congruent vertical angles RET and IEV. The equation relating these can be solved for x.

Missing angle

The missing angle in triangle IVE is found using the angle sum theorem:

  ∠IVE +∠VIE +∠IEV = 180°

  ∠IEV = 180° -50° -70° = 60°

Vertical angle

Vertical angles RET and IEV are congruent:

  ∠RET = ∠IEV

  2x -10 = 60

  2x = 70 . . . . . . . . add 10

  x = 35 . . . . . . . . divide by 2

The value of x from the given conditions is 35.

The  line TV and RI intersect at E.

The measure of IVE=50° and the measure of VIE=70°.

Since, the points V, I and E makes a triangle.

Therefore, the total angle inside the triangle is 180°.

Hence,

∠IVE + ∠VIE + ∠VEI = 180°

50°+70°+ ∠VEI = 180°

∠VEI = 180°-50°-70°

∠VEI = 60°

Also the angles ∠VEI and the angle ∠RET are congruent.

Therefore, ∠VEI = ∠RET

60° = 2x-10

2x = 70

x = 70/2

x = 35.

The lines TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10. Then the value of x = 35.

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A line has the equation 32 - 2y = 1 What is the equation of
parallel line going through the point (-6,
- 10)?
The equation is given by Ar + By = C where

Answers

Answer:

A = 3; B = -2; C = 2

Step-by-step explanation:

Original line:

3x - 2y = 1

Slope of original line:

-2y = -3x + 1

y = 3/2 x - 1/2

slope = m = 3/2

Parallel lines have equal slopes, so we need the equation of the line with slope 3/2 that passes through the point (-6, -10)

y = mx + b

y = (3/2)x + b

Substitute -6 for x and -10 for y and solve for b.

-10 = (3/2)(-6) + b

-10 + 9 = b

b = -1

Equation: y = (3/2)x - 1

2y = 3x - 2

3x - 2y = 2

If you vertically compress the exponential function f(x)=2^x by a factor of 5, what is the equation of the new function?

Answers

The equation of the new function is:

[tex]g(x) = \frac{2^x}{5}[/tex]

What is the equation of the compressed function?

Here we have the function:

[tex]f(x) = 2^x[/tex]

A vertical compression by a factor of 5 is written as:

[tex]g(x) = f(x)/5[/tex]

Replacing the function f(x) we get:

[tex]g(x) = \frac{2^x}{5}[/tex]

That is the equation of the new function.

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Write -3/12 as a mixed number in reduced form.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{-\dfrac{3}{12}}[/tex]

[tex]\huge\textbf{Simplify:}[/tex]

[tex]\mathsf{-\dfrac{3}{12}}[/tex]

[tex]\mathsf{= \dfrac{-3\div 3}{-12\div3}}[/tex]

[tex]\mathsf{= -\dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{- \dfrac{1}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

whats the correct answer

Answers

Answer:

C

Step-by-step explanation:

The first part of this is to represent the center.

It sits at (1,-1), so the left hand part of the equation is

(x - 1)^2 + (y + 1) = r^2

That means the answer has to be either B or C. D gets knocked out of the running because of the minus sign in the middle. D does not give a circle.

B is wrong because the y value should be plus. So the answer is C. Notice because the question is multiple choice you don't need to solve for r since all answers give r^2 = 36

19. For which of the following values of x is the function
f(x)=√4-x2 NOT defined as a real number?
[square root]
A. -2
B. 0
C. 2
D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

[tex]\sqrt{2-\left( 4\right)^{2} } =\sqrt{2-16} =\sqrt{-12}[/tex]

since ,√(-12) is not a real number

Then

The function f is not defined for x = 4

Answer:

D. 4

Step-by-step explanation:

thank you for your help 4 was the correct answer took the test and got it right

Solve the system of equations by substitution.


2x + y = 3z

x + y = 6z


What is the value for y from the first equation, that could be substituted into the second equation?


A. -2x +3z

B. 3z + 2x

C. -2x - 3z

D. 2x + 3z

Answers

Answer is A. -2x + 3z
Reason
2x + y = 3z
If you subtract 2x from both sides to isolate “y”
2x -2x +y = -2x + 3z
Now combine like terms
You get
y= -2x + 3z
Problem solved

3x/2y=11 x+y/2=7 igualacion
Alguien me puede ayudar

Answers

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

¿Cómo resolver un sistema de ecuaciones linear por igualación?

Los sistemas de ecuaciones basadas en entidades algebraicas se resuelven mediante procedimientos algebraicos. Grosso modo, el método de resolución por igualación consiste en despejar una variable en dos ecuaciones del sistema para eliminarla y reducir el número de ecuaciones lineales y el número de variables.

A continuación, presentamos una aplicación del método de eliminación:

[tex]\frac{3\cdot x}{2\cdot y} = 11[/tex]

[tex]x = \frac{22\cdot y}{3}[/tex]

[tex]x + \frac{y}{2} = 7[/tex]

[tex]x = 7 - \frac{y}{2}[/tex]

[tex]\frac{22\cdot y}{3} = 7 - \frac{y}{2}[/tex]

[tex]\frac{47\cdot y}{6} = 7[/tex]

y = 42/47

[tex]x = 7 - \frac{y}{2}[/tex]

x = 308/47

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

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Which number has a repeating decimal form?
A. √15
B. 11/25
C. 30
D. 2/6

Answers

Answer is (D) because 2/6 = 0.33333333333333333333………..

convert this into a standard number
[tex]10^{6}[/tex]

Answers

Answer:

  1,000,000

Step-by-step explanation:

The attached place value chart shows the power of ten associated with each number place in a decimal number.

Application

You have ...

  1 × 10⁶ = 1,000,000

(Put the multiplier digit in the appropriate number place, and fill the remaining spaces with zeros. The digits 32,465 on the chart can be ignored.)

__

Additional comment

For powers of 10, the exponent (6 in this case) tells you the number of zeros to the right of the digit 1. That is, 10^6 is 1 followed by 6 zeros:

  1,000,000

In △ OPQ, OP ≅ QO and m∠O=65∘. Find m∠Q

Answers

Answer:

65°

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent, so both angle Q and angle P are congruent.

Since angles in a triangle add to 180°, angle Q measures (180-50)/2 = 65°

Identify the compositions performed on ΔXYZ to map onto ΔX″Y″Z″.

Answers

Triangle XYZ was translated 2 units left and 1 unit up to form triangle X'Y'Z'. It was then rotated 180° about the origin to form triangle X''Y''Z''  

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, left, right or down in the coordinate plane.

Triangle XYZ was translated 2 units left and 1 unit up to form triangle X'Y'Z'. It was then rotated 180° about the origin to form triangle X''Y''Z''  

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Which equation is an integer?
5-3 =
6-10 =
11.6 - 3 =
63 - 4 x 5 =

Answers

[tex]5-3=2\\\\6-10=-4\\\\11.6-3=8.6\\\\63-4\times 5=63-20=43[/tex]

So, the first, second, and fourth equations are integers.

The first and last are positive integer and second is negative integer.

What are integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

a) 5-3 =2

b) 6-10 = -4

c) 11.6 - 3 =8.6

d) 63 - 4 x 5 =63- 20 = 43

So, among the above first and last are positive integer and second is negative integer.

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What is the total length of all meteors that are 1 6/8 inches?

A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

Answers

The total length of all meteors that are 1 6/8 inches is three and four-eighths inches.

What is the total length of all meteors?

Given :

Tick 1 exists 2/8 (1 data point)

Tick 2 exists 3/8 (3 data points)

Tick 3 exists 4/8 (2 data points)

Tick 4 exists 5/8 (no points)

Tick 5 exists 6/8 (2 data points)

Tick 6 exists 7/8 (no data points)

Tick 2 exists 3/8 (3 data points)

....

Tick 13 exists [tex]$1\frac{6}{8}[/tex] (2 data points)

Therefore, total length of all meteors that exist [tex]$1\frac{6}{8}[/tex] inches :

Length of meteor = [tex]$1\frac{6}{8}[/tex]

Number of meteors = 2

[tex]$(2 * 1\frac{6}{8}) = 2 * 1\frac{4}{8} = \frac{28}{8} = 3 \frac{3}{8} = 3 \frac{1}{2}[/tex]

Therefore, the correct answer is option A. three and four-eighths inches

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The complete question is :

What is the total length of all meteors that are 1 6/8 inches? A line plot with the title, length of meteors. The data is a measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three-eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five-eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

A) three and four-eighths inches

B) three and five-eighths inches

C) four and seven-eighths inches

D) three and seven-eighths inches

. Trevor mows 5 times as
many lawns in the
summer as he does in
the fall. If he mows 20
lawns in the summer,
how many does he mow
in the fall?

Answers

Answer:

4 lawns

Step-by-step explanation:

20/5

4 times.

20/5=4

Hope this helps

i need the answer to this.

Answers

Answer:

56:49 = 8.7 36:48 = 3:448:42 = 8:724:36 = 2:320:30 = 2:324:32 = 3:418:27 = 2:316:14 = 8:79:12 = 3:4

hope this helps

Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?

because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN

Answers

The information is enough because: C. because one pair of congruent corresponding angles is sufficient to determine similar triangles.

What are Similar Triangles?

Similar triangles can be formed during dilation. All corresponding angles of similar triangles are usually congruent to each other.

From the image given, the using rotation about point N and then dilation by a scale factor will make both triangles similar. Thus, with the given information, we can determine both triangles are similar because: C. because one pair of congruent corresponding angles is sufficient to determine similar triangles.

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Answer:

C

Step-by-step explanation:

Took the test

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to [tex]y_v[/tex].If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to [tex]y_v[/tex].

In this problem, we have that:

a = -1 < 0, hence the vertex is a maximum point.The vertex is (-2,9).

Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

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the chairs in a hall are about to be arranged in a row. if i put 6 chairs in a row there will be 4 left if i put 7 chairs in a row there will be 3 short how many chairs are there

Answers

Step-by-step explanation:

THERE WILL BE

6+4+3+7= 23

Solve: ( − )( + ) = �

Answers

Answer:

+ and - is always equals to -

Hope it helps!

Assume a firm reports net income of 84,000 prior to making adjusting entries for expired rent $6400, depreciation 7600 and supplies used 3,000
Assume that the entries have not been made What effect do these errors have on the reported net income

Answers

Assume that the entries have not been made. The effect that these errors have on the reported net income is: Net income will be overstated by $17,000.

Net income

Using this formula

Net income=Expired rent+Depreciation+Supplies

Let plug in the formula

Net income=$6400+$7600+$3000

Net income=$17,000 (Overstated)

Therefore the net income will be overstated by $17,000.

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A rectangular vegetable patch is 5 meters long and 4 meters wide. what is the area?

Answers

Answer:

20

Step-by-step explanation:

Area of a rectangle = l*w

5*4 = 20

1. Which of the following results in the difference of two squares?
O (3r-5y) (3x - 5y)
O (5x+3y) (5x-3y)
O 4r²(3r-9)
O (2r-3y)2

Answers

The difference of two squares is (5x+3y) (5x-3y)

How to determine the difference of two squares?

The difference of two squares of variables a and b is represented as:

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

By comparing the list of options, we have:

(5x+3y) (5x-3y)

This means that

a = 5x and b = 3y

Hence, the difference of two squares is (5x+3y) (5x-3y)

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Suppose we want to choose objects, without replacement, from the objects pencil, eraser, desk, and chair.

(a) How many ways can this be done, if the order of the choices is relevant?

(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

The number of ways when the choice is not relevant is 10

How to determine the number of ways?

The number of objects are:

Object, n = 5

The object to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^{5}P_3[/tex]

Evaluate

Ways = 60

Hence, the number of ways when the choice is relevant is 60

Not relevant choice

When the choice is not relevant, we have:

[tex]Ways = ^nC_r[/tex]

This gives

[tex]Ways = ^{5}C_3[/tex]

Evaluate

Ways = 10

Hence, the number of ways when the choice is not relevant is 10

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The length of a rectangle is two more than double the width. If the perimeter is 100 inches, find the
dimensions.

Answers

Answer:

width = 34 inches

length = 16 inches

Step-by-step explanation:

Given:

1.)The length of a rectangle is two more than double the width

2.)The perimeter is 100 inches

Let's analyze the first part,

The length is 2 more than double the width so if we let x represent the length the width would be 2x + 2

Now the second part,

the perimeter is calculated by the following formula:

2*(w+l)

(w: width, l: length)

2*(x+2x+2) first do inside the parenthesis by adding like terms

x+2x+2 = 3x + 2 now multiply both terms with 2

2*(3x+2) = 6x + 4 this is the perimeter of the rectangle, now write another equation using this

6x + 4 = 100 subtract 4 from both sides

6x = 96 divide both sides by 6

x = 16 this the length and the width would be

2x + 2 = 2*16 + 2 = 34

sin0=7/25 and cos0=-24/25. find tan0.
A. -7/24
B. 24/7
C. -24/7
D. 7/24

Answers

The answer is A

sin0 = p/h = 7/25

cos0 = b/h = -24/25

Therefore , p = 7 , b = -24

tan0 = p/b = 7 / -24 = -7/24

What is the area of this parallelogram?
h = 2 in.
A
b= 10 in.
in.
in²

Answers

The area of a parallelogram is 20 inches square

What is the area of a parallelogram?

The area of a parallelogram is the base of the shape multiplied by the height

Area of parallelogram = b × h

Where h = height = 2 In

base = 10 in

Area = 2 × 10

Area = 20 Inches square

Thus, the area of a parallelogram is 20 inches square

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Please help me with this, going to take an exam on these tomorrow, wish me luck.

Answers

The Cartesian equation of the parametric formulae is x² - y² = 1. Please see the image attached below for further details of the behavior of the function.

How to analyze and to graph a hyperbolic parametric function

In this question we have an hyperbolic function, a kind of transcendent function based on exponential functions. The parametric equations can be rewritten in rectangular coordinates by the using the following property:

sinh² t - cosh² t = 1     (1)

x² - y² = 1

The graph of the Cartesian equation is present in the figure attached below, in which the directions are shown in detail.

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Select the correct answer. Which chart best represents the following information about student results from a class assignment? Frequency 10 Score Frequency Chart 1 23 2 Frequency 10 24 8 25 4 Chart 2 26 3 27 5 28 4 29 5​

Answers

The chart that best represents the student results from a class assignment is B. Histogram or bar graph.

What is a histogram or bar graph?

Both histograms and bar charts are graphic vertical and horizontal bars that visually display frequencies with columns plotted on a graph.

The frequencies are depicted on the Y-axis (vertical axis).

The X-axis (horizontal axis) represents the measured variable.

Question Completion with Answer Options:

A. Frequency table

B. Histogram or bar graph

C. Pareto chart

D. Pictogram

E. Pie chart

Thus, the best chart to represent the student results from a class assignment is B. Histogram or bar graph.

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would appreciate the help ty!!!

Answers

By using the concept of linear progression and some algebraic handling, we conclude that Joe will earn an amount of $ 31 700 in the 14th year.

How to determine the future income of a worker

According to the statement, we have a case of linear progression as income increases at same rate in time. Linear progressions are described by this formula:

c' = c + r · t     (1)

Where:

c - Initial amountc' - Current amountr - Increase ratet - Time

First, we calculate the increase rate:

r = (29 600 - 22 600)/10

r = 700

Now we proceed to find when Joe will earn an annual income of $ 31 700:

31 700 = 22 600  + 700 · t

t = 13

By using the concept of linear progression and some algebraic handling, we conclude that Joe will earn an amount of $ 31 700 in the 14th year.

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