Answer:
the value of x is 10
Explanation:
Since LMNO is a parallelogram, the opposite sides are parallel and have the same length. This means that NO and LM have the same length, which we can call y. We can write the following equations to represent the given information:
NM = x + 32
OL = 2x + 22
NO = y
LM = y
Since NO and LM have the same length, we can set their lengths equal to each other to find the value of y:
x + 32 = y
2x + 22 = y
We can solve this system of equations by setting the two equations equal to each other and solving for x:
x + 32 = 2x + 22
-x = -10
x = 10
Substituting the value of x back into the equations for NM and OL, we find that:
NM = 10 + 32 = 42
OL = 2(10) + 22 = 32
Therefore, the value of x is 10, and the lengths of NM and OL are 42 and 32.