Answer:

Step-by-step explanation:
The first line has a slope of -5/3 found using the points in the slope formula.

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form
.

Answer:
x = 1/2
Step-by-step explanation:
brainlest please
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(-2*x+7)-(24)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
4 • (7 - 2x) - 24 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4 - 8x = -4 • (2x - 1)
Equation at the end of step 3 :
-4 • (2x - 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : 2x-1 = 0
Add 1 to both sides of the equation :
2x = 1
Divide both sides of the equation by 2:
x = 1/2
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is

where b is the length side of the square
we have

substitute


therefore

step 2
Find the area of ACIG
The area of rectangle ACIG is equal to

substitute the given values

step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to

we have 

substitute
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to

we have


substitute

step 5
sum the shaded areas

step 6
Divide the area of of the shaded region by the area of ACIG

Simplify
Divide by 5 both numerator and denominator

therefore
The fraction of the area of ACIG represented by the shaped region is 7/18