Answer:
Let the Width(W) =X feet
then Length(L) = (2X-3)feet
Area of the rectangle (A)=77 square feet
A = L× W
L×W=A
(2X-3) × X = 77
2X²- 3X =77
2X²-3X -77=0
Solving it using the factorization method
2X²-14X+11X-77=0
(2X²-14X)+(11X-77)=0
2X(X-7) + 11(X-7)=0
(2X+11)(X-7) =0
When 2X+11=0
X= -11/2
When X-7=0
X = 7
Therefore X= 7
Width = X feet
= 7feet
The width is 7feet
Length = (2X-3)feet
= (2×7) -3)feet
=(14-3)feet
=11feet
Answer:
x= 28
Step-by-step explanation:
The angles both sum up to 180°. So, the equation would be: 39+(5x+1)= 180.
Step 1- Add common numbers.
(39+1)+5x= 180
40+5x= 180
Step 2- Subtract 40 to both sides.
40+5x= 180
-40 -40
5x= 140
Step 3- Divide both sides by 5.
<u>5x</u>= <u>140</u>
5 5
x= 28
5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12
