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neonofarm [45]
3 years ago
14

Point N is on line segment MO. Given NO = 2x– 3, MO = 3x + 5, and

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

The numerical length of MO is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point N is on line segment MO

→ That means point N divides segment MO into two parts MN and NO

∴ MO = MN + NO

∵ MO = 2x + 5

∵ MN = 2x + 3

∵ NO = 2x - 3

→ Substitute them in the equation above

∴ 3x + 5 = (2x + 3) + (2x - 3)

→ Add the like terms in the right side

∵ 3x + 5 = (2x + 2x) + (3 - 3)

∴ 3x + 5 = 4x + 0

∴ 3x + 5 = 4x

→ Subtract 3x from both sides

∵ 3x - 3x + 5 = 4x - 3x

∴ 5 = x

∴ The value of x is 5

→ To find MO substitute x by 5 in its expression

∵ MO = 3x + 5

∴ MO = 3(5) + 5

∴ MO = 15 + 5

∴ MO = 20 units

The numerical length of MO is 20 units

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