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In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y - 1) m, and OP = (2x - 1) m. What are the values of x and y?
x = 10, y = 1
x = 10, y = 2
x = 11, y = 1
x = 11, y = 2
Solution:
Given, LMNO is a parallelogram.
We know that the diagonals of a parallelogram are equal.
So, LN = OM,
OM and LN are the diagonals which bisect each other at point P.
MP = OP and LP = NP
(2x - 1) m = 21 m
2x = 21 + 1 = 22
x = 11
and (y + 3) m = (3y - 1) m
3y - y = 3 + 1
2y = 4
y = 2
The values of x and y are 11 and 2 respectively.
In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y - 1) m, and OP = (2x - 1) m. What are the values of x and y?
Summary:
The values of x and y are 11 and 2 respectively.
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