As per the given information, the value of x is 10. For understanding, check the calculations provided below.
Midpoint
A midpoint is a point that divides a line into two parts equally.
In the given diagram,
B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.
When a midpoint B divides equally then AB = BC
Given that,
AB = 3x-8 and BC = x+12
B is the midpoint of line segment AC.
So,
AB = BC
Substitute the expression and solve for x
AB = BC
3x-8=x+12
Subtract x,
⇒ 3x-x-8 = x-x+12
⇒ 2x-8=12
Add 8
⇒ 2x = 12+8
⇒ 2x = 20
divide by 2
∵ x = 10
Thus, the value of x is 10.
Learn more information about 'Midpoint' here:
brainly.com/question/4747771
