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42 votes
42 votes
Determine the value of x that would make quadrilateral LMNO a parallelogram.

3
9
11
18​

Determine the value of x that would make quadrilateral LMNO a parallelogram. 3 9 11 18​-example-1
User Andrey Subbotin
by
2.9k points

2 Answers

17 votes
17 votes

Answer:

9

Explanation:

User Eric Fulmer
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2.8k points
17 votes
17 votes
Answer:
x=9
Explanation:
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
User RJardines
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2.8k points