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damaskus [11]
3 years ago
6

Point O is on line segment \overline{NP}

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

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

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