Question

Point m is the midpoint of segment QR. If QM=16+x and MR=2(2x+2), find the length of QM

Answer choices:
QM=12
QM=-12
QM=28
QM=56
Thank you!!

Answer 1

Q=20 that's the answer

Explanation:

Answer 2

Answer:
`QM=20`

Explanation:

1. By definition, the midpoint is the point of a segment where it is divided into two equal segments.

2. Keeping the definition above on mind, if
`QM=16+x` and
`MR=2(2x+2)`, you can calculate the lenght of
`QM` as following:

- Equal both equations:

`16+x=2(2x+2)`

- Solve for
`x`:

`16+x=2(2x+2)\\16+x=4x+4\\16-4=4x-x\\12=3x\\x=4`

- Substitute the value of
`x` into
`QM=16+x`:

`QM=16+4=20`