If B is the midpoint of segment AC, use the information to find the missing value: AB = 2x + 1, and BC = 5x - 44, what is the length of AB

AB is 31.

Step-by-step explanation:

So we know that B is the midpoint of AC. This means that:

by the definition of midpoint.

We know that AB is 2x+1 and BC is 5x-44. Substitute:

Now, find the value of x.

Subtract 1 from both sides:

Subtract 5x from both sides:

Divide both sides by -3:

So, the value of x is 15.

AB is 2x+1.

Substitute 15 into x. So:

Multiply:

Add:

So, the length of AB is 31.

And we're done!