Respuesta :

If b is the midpoint, that means AB and BC are the same lengths, so 10x-8=5x+17. Subtract 5x from both sides: 5x-8=17. 
Add 8 to both sides: 5x=25
Divide by 5 and find that x=5.

The midpoint of a line is the middle of the distance between two points. The value of x if  is the midpoint of AC is 5

Midpoint of a segment

The midpoint of a line is the middle of the distance between two points. Given the following parameters

AB= 10x - 8, and;

BC = 5x + 17

If B is the midpoint of AC, hence;

AB = BC

Substitute

10x - 8 = 5x + 17

10x - 5x = 17 + 8
5x = 25

x  = 5

Hence the value of x if  is the midpoint of AC is 5

Learn more on midpoint here: https://brainly.com/question/5566419

#SPJ9