Question

determine the value of x that would make quadrilateral lmno a parallelogram.
3
9
11
18

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $LP = PN$ and $MP=PO$. We use $LP = PN$.
$x + 2=2x - 7$

Step2: Solve the equation for x

Subtract $x$ from both sides:
$x+2 - x=2x - 7 - x$
$2=x - 7$
Add 7 to both sides:
$2 + 7=x - 7+7$
$x=9$

Answer:

9