Question

note: you can assume all figures are parallelograms. value: 2 solve for x.

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $5x - 3=2x + 24$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $5x-2x - 3=2x-2x + 24$, which simplifies to $3x-3 = 24$.
Then add 3 to both sides: $3x-3 + 3=24 + 3$, getting $3x=27$.
Divide both sides by 3: $\frac{3x}{3}=\frac{27}{3}$, so $x = 9$.

Answer:

b. 9