Answer:
[tex]OP = 11[/tex]
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
[tex]NP = NO+ OP\\[/tex]
[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]
Collect Like Terms
[tex]3x - 2x - 4x = -3 -5 - 4[/tex]
[tex]-3x=-12[/tex]
[tex]x = \frac{-12}{-3}[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in OP = 4x - 5
[tex]OP = 4 * 4 - 5[/tex]
[tex]OP = 16 - 5[/tex]
[tex]OP = 11[/tex]
