Question

LMNO is a parallelogram. If NM = x + 42 and OL = 5x + 6, find the value of x and then find NM and OL.

a) x=9, NM = 51, OL = 51
b) x=9, NM = 53, OL = 51
c) x= 11, NM = 51, OL = 53
d) x = 11, NM = 53, OL = 53

Answer 1

The value of x is 9 and NM and OL are both 51 in the parallelogram LMNO.

Step-by-step explanation:

To find the value of x, we can set NM and OL equal to each other since opposite sides of a parallelogram are equal. Therefore, x + 42 = 5x + 6. Solve this equation for x:

4x = 36

x = 9

To find NM, substitute the value of x back into the equation: NM = 9 + 42 = 51

To find OL, substitute the value of x into the equation: OL = 5(9) + 6 = 51

Therefore, the correct answer is a) x=9, NM = 51, OL = 51.