Answer:
cot²x
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1, then
1 - sin²x = cos²x
1 - cos²x = sin²x
Thus
= 
= cot²x
Solve for x by plugging in y, then plug x back in
Given:
64 total students
x = drama club students
y = yearbook club students
x = y + 10
y = 64 - x
y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
y = 27
x = y + 10
x = 27 + 10
x = 37
To check:
x + y = 64
37 + 27 = 64
64 = 64
First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
