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Find all possible solutions for x and y such that △ABC is congruent to △DEF.

△ABC: sides of length 18, 25, and 5x − 3.
△DEF: sides of length 25, 22, and 5 − y.

△ABC ≅ △DEF when x is
and y is

Sagot :

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Answer:

x = 5    y = -13

Step-by-step explanation:

5(5) - 3 = 22 and 5 - (-13) = 18

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The value of x and y is △ABC ≅ △DEF are 5 and -13 respectively

Since △ABC is congruent to △DEF. hence all the sides of △ABC will be equal to △DEF.

Given the sides of △ABC to be 18, 25, and 5x − 3.

Sides of △DEF to be 25, 22, and 5 − y

This shows that the third side of triangle △ABC is 22, hence

5x - 3 = 22

5x = 22 + 3

5x = 25

x = 5

Similarly, the thirs side of △DEF will be 18, hence;

5 - y = 18

y = 5 - 18

y = -13

Hence the value of x and y is △ABC ≅ △DEF are 5 and -13 respectively

Learn more here: https://brainly.com/question/23961310

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