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Find the values of x and y.

Find the values of x and y.-example-1
User Celaxodon
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1 Answer

6 votes

Answer:

x = 7 , y = 4

Explanation:

the triangle on the right has 3 congruent angles and is therefore equilateral with 3 congruent sides, so

3x - 5 = 5y - 4 → (1)

the triangle on the left has 2 congruent angles and is therefore isosceles with the 2 legs being congruent, so

3x - 5 = y + 12 → (2)

we have 2 equations with 3x - 5 on the left side so equate the right sides

5y - 4 = y + 12 ( subtract y from both sides )

4y - 4 = 12 ( add 4 to both sides )

4y = 16 ( divide both sides by 4 )

y = 4

Then

5y - 4 = 5(4) - 4 = 20 - 4 = 16 , so

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

User Brett Allred
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