Question

an = 8p - 12
ce = 6p
given the parallelogram in the image, solve for p.
p = 6
p = -2
p = 1
cannot solve for the variable with this information

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $AN = CE$.

Step2: Set up the equation

$8p - 12=6p$.

Step3: Solve for $p$

Subtract $6p$ from both sides: $8p-6p - 12=6p - 6p$, which gives $2p-12 = 0$. Then add 12 to both sides: $2p-12 + 12=0 + 12$, so $2p=12$. Divide both sides by 2: $\frac{2p}{2}=\frac{12}{2}$, and $p = 6$.

Answer:

A. $p = 6$