t is vertical to s because they share a point and are directly across from each other. vertical angles are congruent. therefore s=113 degrees
t and p are corresponding angles, which means they are congruent. this means p is also 113 degrees.
s and o are corresponding angles, so o is also 113 degrees.
t and u are supplementary. they share a straight line, so they add up to 180. you can find u by subtracting 113 from 180. 180-113= 67, so u is 67 degrees.
u and r are vertical angles, so r is 67 degrees.
r and m are corresponding, as well as u and q. therefore m and q both equal 67 degrees.
hope this helped :)
V = n X V(cube)
<u>Explanation:</u>
Given:
Side of the cube,a = 
Volume of the cube = a³
So, the volume of the cube, V is
V(cube) = 
V(cube) = 
Let the number of cubes be n
Let V be the volume of the rectangular prism
Volume of rectangular prism = number of cubes X volume of cubes
V = n X V(cube)
If the number of cubes are known then substitute the value in the above given formula.
Answer:
10.53
Step-by-step explanation:
Given :
Height of building = 17m
John's eye level = 2 m
Total height (including eye level) = 17+2 = 19m
Angle of depression, θ = 61°
Let distance between John's friend and building = d
Using trigonometry :
Tan θ = opposite / Adjacent
Tan 61° = 19 / d
1.8040477 = 19 / d
d = 19 / 1.8040477
d = 10.53
Answer:
she rode 6.6 miles per hour
at that rate she would travel 36 miles in 5 hours, 27 minutes, 16 seconds.
