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6 January, 00:57

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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  1. 6 January, 01:47
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    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
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