Final answer:
Segment BC is half the length of segment AC because B is the midpoint. To find BC, divide the length of AC, which is 8x - 20, by 2, resulting in BC being 4x - 10.
Step-by-step explanation:
If B is the midpoint of bar (AC), and AC = 8x - 20, to find BC we would have to use the fact that the midpoint divides the line segment into two equal parts. Since B is the midpoint of AC, then segment AB is equal to segment BC. We can express BC as follows:
BC = ½(AC)
Given that AC = 8x - 20, we can plug this value into our equation for BC:
BC = ½(8x - 20)
Simplifying, we get:
BC = 4x - 10
Therefore, segment BC is half the length of segment AC and is expressed by the equation 4x - 10.