Answer: x=72, y=26
Step-by-step explanation:
Since a line is 180°, we can do:
2x+10+y=180
2x+y=170
Since a triangle is 180° also, we can do:
x+y+82=180
x+y=98
If we subtract x+y=98 from 2x+y=170, we get:
2x+y=170
x+y=98
x=72
If we insert x=72 into x+y=98, we get:
72+y=98
y=26
We can check our answer by inserting x=72 and y=26 into x+y+82=180
72+26+82=180
98+82=180
180=180
<h3><u>Question:</u></h3>
A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?
<h3><u>Answer:</u></h3>
<em><u>The formula represents the volume of the pyramid is:</u></em>

<h3><u>Solution:</u></h3>
<em><u>The volume of square pyramid is given by formula:</u></em>

Where, "h" is the height of pyramid
"a" is the length of side of base
Here given that, pyramid has a square base with sides of length s
Therefore,
a = s
The height of the pyramid is equal to 1/2 of the length of a side on the base

<em><u>Thus the volume of pyramid becomes:</u></em>


Thus the formula represents the volume of the pyramid is 
Statement: Complementary angles are two angles with measures that have a sum of 90.
Reverse: Two angles with measures that have a sum of 90 are complementary angles.
Here the reverse is true, therefore, the statement is true biconditional.
Statement: A rectangle is a four-sided figure with at least one right angle.
Reverse: A four sided figure with at least one right angle is a rectangle.
Here, the reverse is not true, therefore, the statement is not reversible.
B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.
The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.
For this case we have:
The area of the piece of fabric is given by 
Where


Substituting in the formula of the area we have:




Thus, the area of the piece of fabric is given by: 
Answer:
