Question

Supposed B is the midpoint of line AC. Use the given information to find the missing measure. AB = 6Y -14, BC = 10-2Y 2Y, what is AC

Answer 1

Given:

B is the midpoint of line AC.

`AB=6Y-14`

`BC=10-2Y`

To find:

The length of AC.

Solution:

It is given that B is the midpoint of line AC. So,

`AB=BC`

`6Y-14=10-2Y`

`6Y+2Y=10+14`

`8Y=24`

Divide both sides by 8.

`Y=(24)/(8)`

`Y=3`

The value of Y is 3.

Now,

`AC=AB+BC`

`AC=6Y-14+10-2Y`

`AC=4Y-4`

Putting
`Y=3`, we get

`AC=4(3)-4`

`AC=12-4`

`AC=8`

Therefore, the length of AC is 8 units.