Y int.: (0,-1.2)
X int.: (-0.7,0)
<h3>
Answer: 130</h3>
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
The answer is the second choice, or B; 240 ft^2.
You have to find the area of all four triangles and just add those all together.
Two of the triangles have an area of
5*16=80
Multiply that by two
80*2=160
The other two smaller triangles have an area of
8*5=40
Multiply that by 2 also
40*2=80
Add 160+80 and the answer is 240.