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in the diagram, quadrilateral lmno is a parallelogram. what is the leng…

Question

in the diagram, quadrilateral lmno is a parallelogram. what is the length of \\( \overline { n p } \\)?
lm = 5.66
lp = 5.39
mn = 6
mp = 2.24
a. 6
b. 5.66
c. 5.39
d. 2.24

Explanation:

Step1: Recall the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(LP = PN\) and \(MP=PO\).

Step2: Use the given value of \(LP\)

We are given that \(LP = 5.39\). Since \(LP = PN\) (diagonals of parallelogram bisect each other), then \(NP=LP\).

Answer:

C. \(5.39\)