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>
Your process is close!
Since 3/10 and 4/15 is the amount you missed you have to subtract that by 1.
1 - 0.3 = 0.70
1 - 0.26 = 0.74
So, you scored higher on the math quiz.
Hope this helps!
Start by decomposing the number inside the root into primes
Then group the terms into cubes if possible
rewrite the root
![\sqrt[3]{80}=\sqrt[3]{10\cdot2^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B80%7D%3D%5Csqrt%5B3%5D%7B10%5Ccdot2%5E3%7D)
then cancel the terms that are cubes and bring them out of the root
![\sqrt[3]{80}=2\sqrt[3]{10}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B80%7D%3D2%5Csqrt%5B3%5D%7B10%7D)
Answer:
B. 2 weeks
Step-by-step explanation:
1st week
Brian will have $40
Sarah will have $30
2nd week
Brian will have $50
Sarah will have $50
Answer: 26 minutes
Step-by-step explanation:
Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.
Time getting dressed = ¹/₃x
Eating breakfast = 10 mins
Making bed = 5 mins
¹/₃x + 10 + 5 = 35 ½
¹/₃x + 15 = 35 ½
¹/₃x = 35 ½ - 15
¹/₃x = 20 ½
x = 20 ½ / ¹/₃
= 61.5 minutes
Total morning routine is is 61.5 mins
Time taken to drive to work is;
= 61.5 - 35 ½
= 26 minutes
