Question

value: 2
solve for x.

options:
a. 7
b. 15
c. 3
d. 18

Explanation:

Step1: Identify equal - length segments

In a parallelogram, the diagonals bisect each other. So, the two segments shown ($15$ and $3x - 6$) are equal. We set up the equation $3x-6 = 15$.

Step2: Solve the equation for x

Add 6 to both sides of the equation: $3x-6 + 6=15 + 6$, which simplifies to $3x=21$.

Step3: Isolate x

Divide both sides of the equation $3x = 21$ by 3. We get $x=\frac{21}{3}=7$.

Answer:

A. 7