Question

What is the length of xy?

Answer 1

The length should be A but I'm not positive

Answer 2

Given:

`XR=x+8`

`RY=4x-10`

Since R is the midpoint of the line, we can set XR equal to RY and solve for x.

`RY=XR`

`4x-10=x+8`

`4x=x+18`

`3x=18`

`x=6`

Now we know what x is. We can plug in x to RY and XR and then add it all together to find XY. Let's find XR:

`XR=6+8`

`XR=14`

Let's find RY now:

`RY=4(6)-10`

`RY=24-10`

`RY=14`

Since we know that:

`XR+RY=XY`

We can plug in our answers:

`14+14=XY`

Final answer:

`XY=28`