Question

Point O is on line segment \overline{NP}

Answer 1

Answer:

$OP = 11$

Step-by-step explanation:

Given

OP = 4x - 5

NP = 3x + 4

NO = 2x - 3

Required

Determine the value of OP

Since O lines n the segment, them

$NP = NO+ OP$

$3x + 4 = 2x - 3 + 4x - 5$

Collect Like Terms

$3x - 2x - 4x = -3 -5 - 4$

$-3x=-12$

$x = \frac{-12}{-3}$

$x = 4$

Substitute  4 for x in  OP = 4x - 5

$OP = 4 * 4 - 5$

$OP = 16 - 5$

$OP = 11$