Question

Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x

determine the numerical length of MN

Answer : MN =

Answer 1

MN = 4

Explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

`LM + MN = LN` (segment addition postulate)

`5x + 4x = 9` (substitution)

Solve for x

`9x = 9`

Divide both sides by 9

`(9x)/(9) = (9)/(9)`

`x = 1`

MN = 4x

plug in the value of x

MN = 4(1) = 4