Answer:
x=20
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle rule:
An exterior angle of a triangle is equal to the sum of the opposite interior angles
Knowing this, we can create an equation to solve for x
exterior angle (100) = sum of opposite interior angles (3x+2x)
100 = 2x+3x
now we solve for x
step 1 combine like terms
2x+3x=5x
now we have 100=5x
step 2 divide each side by 5
5x/5=x
100/5=20
we're left with x = 20
Answer:
Part 1) The expression for the perimeter is
or 
Part 2) The perimeter when z = 15 ft. is 
Step-by-step explanation:
Part 1)
we have

Find the roots of the quadratic equation
Equate the equation to zero

Complete the square
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient


Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

-----> root with multiplicity 2
so
The area is equal to
![A=625(z-0.12)(z-0.12)=[25(z-0.12)][25(z-0.12)]=(25z-3)^{2}](https://tex.z-dn.net/?f=A%3D625%28z-0.12%29%28z-0.12%29%3D%5B25%28z-0.12%29%5D%5B25%28z-0.12%29%5D%3D%2825z-3%29%5E%7B2%7D)
The length side of the square is 
therefore
The perimeter is equal to



Part 2) Find the perimeter when z = 15 ft.
we have

substitute the value of z

I could be wrong but i think it’s 32
Answer:
Choice 1
Step-by-step explanation:
Let‘s go through each answer and analyze a
each.
<u><em>Choice 1</em></u>
<u>Parallel</u> means to lines with the same slope, they never intersect, ever, they always remain next to each other and never touch. This is true for the picture
<u><em>Choice 2</em></u>
<u>Perpendicular</u> means that two lines intersect at a right angle, however upon looking at the picture you can see this is not a right angle, but an acute angle. So it is not perpendicular.
<u><em>Choice 3</em></u>
A <u>Line Segment </u>means a line with dots on either end, symbolizing the end of the line. This is not a line segment because there are arrows on the ends, indicating these lines go on forever. This is not a segment
<u><em>Choice 4</em></u>
We already determined this is neither a segment nor perpendicular so it cannot be this choice
This leaves us with Choice 1.
I hope this helps!
Please give thanks and brainliest!