Answer:
9
inches
or
12.728 inches
Step-by-step explanation:
Use Phytagorean Theorem

Since both all sides of a square are equal, this means that
and
are equal.
So that leaves us with:

Simplify

Divide both sides by 2

Simplify

Find the square root of both sides

a = 9
(or if you want the decimal, rounded to the 3rd decimal place: 12.728)
Hello!
Vertical angles are always congruent
This means that 3x - 35 = 130
We can solve this algebraically
3x - 35 = 130
Add 35 to both sides
3x = 165
Divide both sides by 3
x = 55
The angle AOB and AOC are supplementary which means they add to 180
First we have to find what angle AOB equals
3(55) - 35 = 130
We can subtract 180 by this number to get angle AOC
180 - 130 = 50
Angle AOC is 50
The answers are x = 55 and AOC = 50
Hope this helps!
The higher the quality the higher the price
Answer: z = -19.5
Step-by-step explanation:
-6.5 = z/3
-19.5 = z Multiply 3 to both sides