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Triangle ABC and triangle PQR are given. Triangle ABC is congruent to triangle PQR by SAS. If angle ABC = 12x+2, angle PQR = 142-2x, AB = 5y+7, and PQ = 3y-1, then which of the following statements are true? Select all that apply

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tramserran

Answer:   x = 10, y = -1

Step-by-step explanation:

ΔABC ≅ ΔPQR  →  ∠B ≅ ∠Q    and     AB ≅ PQ

      ∠B ≅ ∠Q

12x + 2 = 142 - 2x

+2x                + 2x

14x + 2 = 142

       - 2     -2  

14x       = 140

÷14         ÷14  

    x       =  10

   AB ≅ PQ

3y - 1 = 5y + 1

-3y      -3y      

      -1 = 2y + 1

     -1         -1

     -2 = 2y

     ÷2   ÷2

      -1 = y

Answer:

x = 10, y = -1

Step-by-step explanation:

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