Question

Point M is the midpoint of line segment AB. If AM=18 and MB=2x-5, find the value of x.

a. 15
b. 11.5
c. 6.5
d. 46

Answer 1

To find the value of x, use the fact that M is the midpoint of line segment AB and setup an equation. Solve the equation to find x.

Step-by-step explanation:

To find the value of x, we can use the fact that M is the midpoint of line segment AB. Since M is the midpoint, it is equidistant from both A and B. So we can set up the equation:

AM = MB

Substituting the given values, we get:

18 = 2x - 5

Adding 5 to both sides:

23 = 2x

Dividing both sides by 2:

x = 11.5

Therefore, the value of x is 11.5. Answer choice b. 11.5 is correct.