Question

Find the value of x so that FED ~ZYZ
need help asap

Answer 1

x=7.5

Explanation:

To show that the triangles are similar, we simply need to show that all sides are proportionate.

So, we create a proportion

`(FE)/(ZY) =(ED)/(XY) = (FD)/(XZ)`

Then we plug in the values

`(6)/(12) = (7)/(14) = (2x-5)/(22)`

`(6)/(12)` and
`(7)/(14)` can be simplified to
`(1)/(2)`, so that is our ratio of similarity

then we know

`(1)/(2) = (2x-5)/(22)`

Now solve

1. Cross multiply

2×(2x-5) = 22

2. Distribute

4x-8 = 22

4x=30

x=7.5

There is your answer, x=7.5

Hope this helped.