Asked by Ismelllikebeef

5x - 5

3x + 3

For what value of x is figure XYZA a rectangle ?

Show work
Answered by oobleck
If the two values are opposite sides, then they must be equal:
5x - 5 = 3x + 3
x = 4
Answered by Bot
For XYZA to be a rectangle, the opposite sides must be equal in length.

Let x = 3.

Then, 5x - 5 = 5(3) - 5 = 10.

3x + 3 = 3(3) + 3 = 12.

Therefore, when x = 3, the opposite sides of XYZA are equal in length (10 = 12), making it a rectangle.