Answer:
angle C = 36°
Step-by-step explanation:
Fun fact that I found out:
all interior angles of a triangle added together = 180°
5x + 3x + 2x = 180°
combine like terms:
10x = 180°
divide both sides of the equation by 10:
x = 18°
angle C = 2(18°) = 36°
Answer:

Step-by-step explanation:
Given that Gemma has hiked 2 1/3 mile each hour for a total of 3 hours, you can multiply her rate by her time to find the total distance:
d = rt or d = 2 1/3(3)

Multiply: 
Now, that the total length of the trail, 11 3/8 miles, and subtract the distance that Gemma has gone already:
11 3/8 - 7 = 
<u><em>Answer:</em></u>
x = -31.5
<u><em>Explanation:</em></u>
We are given that the quotient of x and -1.5 is 21
<u>This means that:</u>

To get the value of x, we will multiply both sides of the equation by -1.5
<u>This means that:</u>

x = -31.5
<u>Note that</u> the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)
Hope this helps :)
Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
__
For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
_____
<em>Additional comment</em>
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)