Answer:

Step-by-step explanation:
<u>Right Triangles</u>
The ratios of the sides of a right triangle are called trigonometric ratios. Each acute angle has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The tangent ratio is defined as:

The opposite side is 25 and the adjacent side is 18, thus:

The angle is calculated by using the inverse tangent function:


Sin 30 = 16/x
x = 16/sin 30 = 32
The answer is d: 32.
Answer:
8
Step-by-step explanation:
I want to say 17 but I don't know for sure
Answer:
n= -9
Step-by-step explanation:
Simplifying
-2(n + 3) + -4 = 8
Reorder the terms:
-2(3 + n) + -4 = 8
(3 * -2 + n * -2) + -4 = 8
(-6 + -2n) + -4 = 8
Reorder the terms:
-6 + -4 + -2n = 8
Combine like terms: -6 + -4 = -10
-10 + -2n = 8
Solving
-10 + -2n = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + -2n = 8 + 10
Combine like terms: -10 + 10 = 0
0 + -2n = 8 + 10
-2n = 8 + 10
Combine like terms: 8 + 10 = 18
-2n = 18
Divide each side by '-2'.
n = -9
Simplifying
n = -9