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4 August, 06:55

Given triangle QRS = triangle TUV, find the measure of the given angles and the lengths of the given sides.

a. QS = 3v+1, TV = 5v - 9

b. m angleR = 4n + 4, m angleU = 5n-4

A. 16; 36

B. 8; 32

C. 5; 8

D. 16; 32

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Answers (1)
  1. 4 August, 08:30
    0
    A. 16; 36

    Step-by-step explanation:

    If the triangles are equal

    sides QS = side TV

    3v+1 = 5v-9

    subtract 3v from each side

    3v+1 - 3v = 5v-3v-9

    1 = 2v-9

    add 9 to each side

    1+9 = 2v-9+9

    10 = 2v

    divide by 2

    10/2 = 2v/2

    5=v

    QS = TV = 3v+1 = 3 (5) + 1 = 16


    4n+4 = 5n-4

    subtract 4n from each side

    4n+4 - 4n = 5n-4n - 4

    4 = n-4

    add 4 to each side

    4+4 = n-4+4

    8 = n

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