Question

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

Answer 1

Answer:

Q=20 that's the answer

Step-by-step explanation:

Answer 2

Answer: $QM=20$

Step-by-step 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  $QM=16+x$:

$QM=16+4=20$