Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
4/5
Step-by-step explanation:
use rise over run up 4 over 5!!!
Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24
The length is 24 ft
Answer:
1/4
Step-by-step explanation:
dy/dx(1/4x + 14)=1/4
1+tan^2(y)=1/cos^2(y)
cos 2y -1=cos^2(y) -sin^2(y)-cos^2(y) -sin^2(y)