Question

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

Answer 1

AB is 31.

Explanation:

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

`AB=BC`

by the definition of midpoint.

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

`2x+1=5x-44`

Now, find the value of x.

Subtract 1 from both sides:

`2x=5x-45`

Subtract 5x from both sides:

`-3x=-45`

Divide both sides by -3:

`x=15`

So, the value of x is 15.

AB is 2x+1.

Substitute 15 into x. So:

`AB=2(15)+1`

Multiply:

`AB=30+1`

Add:

`AB=31`

So, the length of AB is 31.

And we're done!