Question

solving problems with parallelograms
determine the value of ( x ) that would make quadrilateral ( lmno ) a parallelogram.
11
9
18

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(x + 2=2x - 9\).

Step2: Solve the equation

Subtract \(x\) from both sides: \(x+2 - x=2x - 9 - x\), which gives \(2=x - 9\).
Add \(9\) to both sides: \(2 + 9=x-9 + 9\), so \(x = 11\).

Answer:

\(11\)