The value of M on the line segment is 15
How to determine the value of M?
From the line segment, we have the following parameters:
AB = 3m + 5
BC = 4m - 10
Because the point B bisects segment AC, we have
AB = BC
This gives
3m + 5 = 4m - 10
Collect the like terms
4m - 3m = 10 + 5
Evaluate the like terms
m = 15
Hence, the value of M on the line segment is 15
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