Question

Point M is on line segment LN. Given MN = 3x, LN = 4x + 9, and

LM 2x + 7, determine the numerical length of LM.

Answer 1

LM = 11 units

Explanation:

Given M is on LN , then

LM + MN = LN , substitute values

2x + 7 + 3x = 4x + 9

5x + 7 = 4x + 9 ( subtract 4x from both sides )

x + 7 = 9 ( subtract 7 from both sides )

x = 2

Thus

LM = 2x + 7 = 2(2) + 7 = 4 + 7 = 11