Question

Please explain how to find QP on the attached drawing. Thanks!

Answer 1

QP = 6

Explanation:

We are given a line MP with a point on it Q and we are to find the length of the line segment QP.

We know that the length of MP is
`x + 17`, MQ is
`3` and QP is
`2 x + 22` so we can write it as:

`MP=MQ+QP`

`x+17=3+2x+22`

`2x-x=17-22-3`

`x=-8`

Substituting this value of x to find the length of QP:

QP =
`2x +22 = 2(-8) +22 =` 6