ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;

This implies that


Divide both sides by 4 to get;

|WY|=|ZX|=13-3=10
The length of one side of the octagon is given by:

Then, the apothem can be determined using the Pythagorean theorem in the following way:

Clearing to have:

Then, the area is given by:

Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
Answer:
x+1
Step-by-step explanation:
1.) -2(-x-1)-(x+1)
2.) -2(-x-1) = 2x+2
3.) 2x+2-(x+1)
4.) -(x+1) = -x-1
5.) 2x+2-x-1 = x+1
ANSWER: x+1
Domain is the values of y.
Plug the x values in the equation to find the corresponding y values:
when x=0, y=3
when x=2, y=-1
when x=-6, y=15
so the answer is D