If LM = 3x + 8 and MN = 2x - 5 and LN = 23 what are the lengths for each one?

Answer 1

From the segment addition postulate: LM + MN = LN

so 3x + 8 + 2x - 5 = 23

and 5x = 20

and x = 4

so LM = 3(4) +8 = 20

and MN = 2(4) - 5 = 3