Answer:
Option A. 108
Step by step explanation :-
Consecutive interior angles are supplementary
y° + 72° = 180
=> y = 180 –72
=> y = 108°
The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².

Actually Welcome to the Concept of the areas.
Since we know that, radius = diameter /2
here, => d = 2r ,
hence we use the formula as,
A = πr^2 ,
here option d.) is correct.
Answer:
x = -4
Step-by-step explanation:
An undefined slope would look like a vertical line, up and down. This is shown using an x equals equation instead of a y equals equation.
Since the line goes vertically, you only need to look at the x-value to make the equation, since after doing x = -4 the line would keep going down until it touched (-4, -8).
The line would touch everything in the y-value but stay at x = -4.
Therefore the answer to this problem is x = -4. I've attached a picture (from desmos) showing what the graph of x = -4 would look like and how it touches the point (-4, -8).
Answer:
57.5 %
Step-by-step explanation:
First find out the number of workers that do not arrive by 8 am
200 -85 = 115
Take this number divided by the total
115/200 = .575
Change to percent form
57.5 %