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sasho [114]
4 years ago
9

Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X’Y’Z’. Which statement shows the measure of an

gle X’Y’Z’?
m∠X’Y’Z’ = m∠XYZ
m∠X’Y’Z’ = 180 degrees
m∠X’Y’Z’ = 270 degrees
m∠X’Y’Z’ = 2 × m∠XYZ
Mathematics
2 answers:
8090 [49]4 years ago
7 0
It is fine that you did not include the measure of angle XYZ in your posting.

This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.

It the first three, the image after the transformation is congruent to the pre-image.  It has the same size and shape.  It is simply flipped, rotated, slid...

But... in the fourth, dilation, the image now has a different size.  It is still, however the same shape.

In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image.  After dilation, the image is "similar" but not "congruent."

So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.

So the first choice is correct.  The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
</span>
dalvyx [7]4 years ago
6 0

Answer:m∠X’Y’Z’ = m∠XYZ

Step-by-step explanation:

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aliya0001 [1]

Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?​

Answer:

200 + 25x < 750

Number of seats in a row must be less than 22

Step-by-step explanation:

Given

Total = Less than 750

Current Seats = 200

Rows = 25

Seat per row = x

Required

Represent as an inequality

The scenario will be represented as:

Current\ Seats + Rows * x = Total

Substitute 200 for Current Seats

200 + Rows * x = Total

Substitute 25 for Rows

200 + 25* x = Total

200 + 25x = Total

Substitute <750 for Total.

The equation then becomes

200 + 25x < 750

Solving further:

25x < 750 - 200

25x < 550

x < \frac{550}{25}

x < 22

This means that:

Number of seats in a row must be less than 22

3 0
3 years ago
What is X = to in -3x+4x=2•4-x​
marshall27 [118]

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Step-by-step explanation:

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djyliett [7]

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Subtract 8 from both sides:

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Answer:

A. x + y = 4000

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Total amount raised = $15000

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number of adult tickets sold = x

number of student tickets sold = y

Then we can say,

total number of ticket sold = number of adult tickets + number of student tickets

4000 = x + y

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the equations required are:

x + y = 4000

5x + 3y - 15000

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