Question

Point O is on line segment NP. Given NP = 3x, NO = 2x, and OP = 8,

determine the numerical length of NO.

Answer 1

`NO = 16\ units`

Explanation:

Given

`NP = 3x`

`NO = 2x`

`OP = 8`

Required

Determine NO

Since O is a segment on NP, we have that

`NP = NO + OP`

Substitute values for these parameters

`3x = 2x + 8`

Collect Like Terms

`3x - 2x = 8`

`x = 8`

Substitute 8 for x in
`NO = 2x`

`NO = 2 * 8`

`NO = 16\ units`