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Math Asked by a SnapAndSolve user · about 2 hours ago

△ABC is similar to △DEF. Find the missing sides x and y.

△ABC is similar to △DEF. Find the missing sides x and y.

Answer

Since △ABC is similar to △DEF, the corresponding sides are proportional. We can set up the following proportions based on the given side lengths:

For side AB and DE: x/9 = 16/12
For side AC and DF: 16/12 = 20/y

Solving for x:

Cross-multiply: 12x = 9 * 16
12x = 144
x = 144/12
x = 12

Solving for y:

Cross-multiply: 16y = 12 * 20
16y = 240
y = 240/16
y = 15

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