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lubasha [3.4K]
3 years ago
9

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

Mathematics
1 answer:
Paul [167]3 years ago
8 0

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

\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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