Consider carmen’s plans. carmen used her knowledge of angle relationships to find the value of x in the diagram. what is the value of x?

Hello!

Since the angles are alternate exterior angles they are the same

6x + 5 = 7x - 4

Subtract 6x from both sides

5 = x - 4

Add 4 to both sides

9 = x

The answer is 9

Hope this helps!

1) The length of the area should be at least 20 ft,

Call x the length and y the width

=>x ≥20

2) the distance around should be no more than 100 ft.

the distance around is the perimeter of the rectangle

perimeter = 2(length + width)=2length+2width

=>2x+2y≤100

System:

1) x ≥ 20
2) 2x + 2y ≤ 100