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>
Answer:
For company A, y = 24x + 42
For company B, y = 28x + 25
Step-by-step explanation:
x is the number of containers
y is the total cost
For company A, y = 24x + 42
For company B, y = 28x + 25
For the cost of both companies to be the same, then
24x + 42 = 28x + 25
28x - 24x = 42 - 25
4x = 17
x = 4.25
Mr Lycan would have to order about 4 containers so the cost would be the same from each company
Hi there!
8:30 to 12:45 is four hours and 15 minutes. You could easily count this but if you're having trouble you could also use a clock. :P
Hope this helps!
2x+5y=8
5y=-2x+8
y=-2/5x+8/5. As a result, the y-intercept is 8/5 or 1 3/5. Hope it help!
A a line parallel to one side of a triangle divides the other two sides