Question

al = 7n - 3
ln = n + 9
given the parallelogram in the image, solve for n.
n = 1
n = 2
n = 3
cannot solve for the variable with this information

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $AL=LN$.

Step2: Set up the equation

$7n - 3=n + 9$.

Step3: Solve for n

Subtract $n$ from both sides: $7n - n-3=n - n + 9$, which simplifies to $6n-3 = 9$. Then add 3 to both sides: $6n-3 + 3=9 + 3$, getting $6n=12$. Divide both sides by 6: $\frac{6n}{6}=\frac{12}{6}$, so $n = 2$.

Answer:

C. $n = 2$