Question

Point M is the midpoint of LN. LM = 7x - 12 and MN = 3x + 16. Find LM.

Answer 1

Since point M is the midpoint of LN, LM and MN are equivalent in length.

7x - 12 = 3x + 16 (LM=MN)

7x = 3x + 28

4x = 28

x = 7

Now that we know the value of x, we can find the value of LM by plugging the value in the equation.

LM = 7(7) - 12

LM = 49 - 12

LM = 37