Answer:
See below.
Step-by-step explanation:
We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.
Recall that sine is the ratio of the opposite to the hypotenuse:

Plug in the numbers. The opposite is 20 and the hypotenuse is 55.

Solve for theta (use a calculator):

Answer:
Step-by-step explanation:
2 right triangles and three rectangles
Answer:
Equation of the parabola is 
Step-by-step explanation:
We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.
As vertex is (-4,-3) that means parabola is in third quadrant.
So the standard formula of the parabola will be y²= -4px through origin (0,0).
But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)

.
Answer:
-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-4)/(-7-(-9))
m=-6/(-7+9)
m=-6/2
m=-3