Question

I don't know how to solve this

Answer 1

The answer that I got was side  WX = 12 inches

It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.

With this information I set up an equation:

3m-4 + 3m-4 +m = 76

(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).

I combined like terms on the left side and ended up with:

7m-8=76 

I added 8 to both sides of the equation and got 7m=84.

Finally I divided both sides by 7 and got m=12

m is equivalent to side WX..

Hope this helps!