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musickatia [10]
4 years ago
12

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
Mathematics
1 answer:
faltersainse [42]4 years ago
5 0

Answer:   x = 10, y = -1

<u>Step-by-step explanation:</u>

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

      ∠B ≅ ∠Q

12x + 2 = 142 - 2x

<u>+2x       </u>    <u>      + 2x </u>

14x + 2 = 142

<u>        - 2</u>    <u> -2   </u>

14x       = 140

<u>÷14       </u>   <u>÷14  </u>

    x       =  10

   AB ≅ PQ

3y - 1 = 5y + 1

<u>-3y     </u>  <u>-3y      </u>

      -1 = 2y + 1

    <u>  -1 </u>   <u>       -1 </u>

     -2 = 2y

   <u>  ÷2</u>   <u>÷2 </u>

      -1 = y

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