Answer:
a b e
Step-by-step explanation:
not sure could be wrong
The true statement is Peter walks at a rate of 13 over 4 miles per hour.
<h3>What is the true statement?
</h3>
Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. When the hour Peter walks increases, the distance he walks also increases.
Here are the options:
Peter walks at a rate of StartFraction 4 over 13 EndFraction miles per hour.
Peter walks at a rate of 4 miles per hour.
Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.
Peter walks at a rate of 13 miles per hour.
To learn more about direct variation, please check: brainly.com/question/27573249
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Fractional index means "xth root of". Negative index means a fraction. So together, what it really means is:
![\frac{1}{\sqrt[5]{32}} = \frac{1}{2}.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7B32%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D.)
150 and the unknown angle next to it equal 180.
180 - 150= unknown angle
30 degrees= unknown angle
Then the triangle also equals 180 so we add the angles and solve for x
3x + 2x + 30= 180
5x + 30= 180
5x= 150
x= 30
3x= 3(30)= 90 degrees
2x= 2(30)= 60 degrees
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,




Taking square root on both sides.


Therefore, the distance between S and S' is 13 units.