Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion
[tex]\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}[/tex]
Then we plug in the values
[tex]\frac{6}{12} = \frac{7}{14} = \frac{2x-5}{22}[/tex]
[tex]\frac{6}{12}[/tex] and [tex]\frac{7}{14}[/tex] can be simplified to [tex]\frac{1}{2}[/tex], so that is our ratio of similarity
then we know
[tex]\frac{1}{2} = \frac{2x-5}{22}[/tex]
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.
