Point N is on line segment M O ‾ MO . Given N O = 2 x − 3 , NO=2x−3, M O = 3 x + 5 , MO=3x+5, and M N = 2 x + 3 , MN=2x+3, determine the numerical length of M O ‾ . MO .

The length of MO is 20 units.

Explanation:

It is given that Point N is on line segment M O.

Using segment addition property, we get

Given values are NO=2x−3, MO=3x+5, and MN=2x+3.

The value of x is 5.

Therefore, the length of MO is 20 units.

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