The correct answer is x = 9
What is a parallelogram in math?
- A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
- A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
Diagonals of a parallelogram bisect each other.
For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.
Set OP equal to PM and solve for x.
PM = OP
3x - 9 = 18
Add 9 to both sides.
3x = 27
Divide both sides by 3.
x = 9
Therefore, the value of x = 9
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The complete question is -
Determine the value of x that would make quadrilateral LMNO a parallelogram.
3
9
11
18
