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Triangle ABC and triangle PQR are given. Triangle ABC is congruent to triangle PQR by SAS. If angle...
4 months ago
Q:
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
Accepted Solution
A:
Answer: x = 10, y = -1Step-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