HELPPP !! If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be
a parallelogram
1 answer:
Answer:
x=12 and y=4.3
Step-by-step explanation:
Given the sides of quadrilateral that are O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO be a parallelogram.
we know opposite sides of parallelogram are equal.
Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.
Equating opposite sides equal, we get
8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12
implies, NM=x-5=12-5=7
NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3
Hence, x=12 and y=4.3
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