FIND THE SCALE FACTOR GIVEN TRIANGLE ABC~TRIANGLE DEF

then
USE THE THE SCALE FACTOR TO FIND X

then
USE THE SCALE FACTOR TO FIND Y
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x = 14.4

y = 11.25

Step-by-step explanation:

✔️Find x:

Given that ∆ABC is similar to ∆DEF, it follows that their corresponding sides must be proportional to each other.

Thus:

AB = 15

DE = 12

AC = 18

DF = x

Plug in the values

Cross multiply

Divide both sides by 15

x = 14.4

✔️Find y:

AB = 15

DE = 12

BC = y

EF = 9

Plug in the values

Multiply both sides by 9

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step-by-step explanation:

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