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
