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

I m pretty sure it s answer 2 f(x)= - 2/3x -2 but if I m wrong let me know :P...

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

kenyamaclark1847

19.03.2021

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

$\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}$

Then we plug in the values

$\frac{6}{12} = \frac{7}{14} = \frac{2x-5}{22}$

$\frac{6}{12}$ and $\frac{7}{14}$ can be simplified to $\frac{1}{2}$ , so that is our ratio of similarity

then we know

$\frac{1}{2} = \frac{2x-5}{22}$

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.

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