Question

what equation would you set up to solve for x? a. 5x - 8 = 3x b. 5x - 8 = 2x + 10 c. 2x + 10 = 3x d. 2x + 10 + 3x = 5x - 8

Explanation:

Step1: Recall property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, the two segments of the same diagonal are equal. Here, segments $ZV$ and $VX$ are parts of the same diagonal.

Step2: Set up the equation

Since $ZV = 5x - 8$ and $VX=2x + 10$, we set up the equation $5x - 8=2x + 10$.

Answer:

B. $5x - 8 = 2x + 10$