Answer:

Step-by-step explanation:
By FOIL method, 
Answer:
Option C: 41
Step-by-step explanation:
<ABD+<CBD=90
<ABD=8x+1
<CBD=6x+5
(8x+1)+(6x+5)=90
Combine like terms
(8x+6x)+(1+5)=90
14x+6=90
14x=90-6
14x=84
divide both sides by 14
x=6
Now we plug that value into <DBC = 6x+5
6(6)+5=
36+5
41
It is 18 because it is a square so all the sides have to be the same so that would make it 18
This makes sense because every point on the gold line is a solution to the equation
y
=
1
2
x
+
3
y=
2
1
x+3start color #e07d10, y, equals, start fraction, 1, divided by, 2, end fraction, x, plus, 3, end color #e07d10, and every point on the green line is a solution to
y
=
x
+
1
y=x+1start color #0d923f, y, equals, x, plus, 1, end color. So, the only point that's a solution to both equations is the point of intersection
Answer:
The length is approximately 8 feet.
Step-by-step explanation:
Since the side across from the 30 degree angle is HALF the side across from the 90 degree one, then we can write this equation (supposing the height of the building is x):
x^2 + 7^2= (2x)^2
x^2 + 49 = 4x^2
x= 4
since the length is 2x, it equals 4*2 = 8