Question

Point L is on line segment KM. Given LM = 3x + 3, KM = 5x + 4, and

KL = 5x + 1, determine the numerical length of KM.

Answer 1

98

Explanation:

Answer 2

`KM = 4`

Explanation:

Given

`LM = 3x + 3`

`KM = 5x + 4`

`KL = 5x + 1`

Required

Determine KM

The relationship between the given parameters is:

`KM = KL + LM`

Substitute the values of KM, KL and LM

`5x + 4 = 5x + 1 + 3x + 3`

Collect Like Terms

`5x - 5x - 3x = 1 + 3 - 4`

`-3x = 0`

Divide through by -3

`x = 0`

Substitute 0 for x in
`KM = 5x + 4`

`KM = 5 *0 + 4`

`KM = 0 + 4`

`KM = 4`