Answer: 30
Step-by-step explanation:
Since this is a right triangle, the pythagorean theorem says

So if you rearrange for
you get
.
Angle EGD = x (vert. opp. angles)
30 ° + 90 ° + x = 180 ° (adj. angles on st. line)
x = 60
Answer:
y = -
x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line
m =
= - 
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = -
x - 1 ← equation of line
ANSWER
Option D
EXPLANATION
The parent radical function is

The transformed function is

This is a transformation of the form.

which shifts the parent function horizontally by k units to the right and stretches the parent function vertically by a factor of 'a'.
In this case a=2 and k=3,
there is a horizontal shift of 3 units to the right and a vertical stretch by a factor of 2.
The last choice is correct.