Answer:
<u>Width = 7 inches</u>
<u>Length = 23 inches</u>
Step-by-step explanation:
Let :
Equating to area :
- (2x + 9)(x) = 161
- 2x² + 9x = 161
- 2x² + 9x - 161 = 0
- 2x² - 14x + 23x - 161 = 0
- 2x(x - 7) + 23(x - 7) = 0
- x - 7 = 0
- x = 7
Dimensions are :
- <u>Width = 7 inches</u>
- Length = 2(7) + 9
- <u>Length = 23 inches</u>
Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then

So

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
4x^2 +20x +25
(2x+5)(2x+5)
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST