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, $LP = PN$.
$x + 2=2x - 7$

Step2: Solve the equation for x

Subtract $x$ from both sides: $2=2x - x-7$.
Then add 7 to both sides: $x=2 + 7$.
$x = 9$

Answer:

B. 9