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25 September, 15:13

Wz is perpendicular to vy, wz bisects vy, vz = 2x + 4, and ZY = 3x - 4. What is ZY?

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Answers (2)
  1. 25 September, 15:44
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    Wz is perpendicular to vy, wz bisects vy, vz = 2x + 4, and ZY = 3x - 4. What is ZY?

    2x+4 = 3x-4

    -4 - 4

    (subtract 4 from both sides)

    2x = 3x - 8

    -3x - 3x

    (subtract 3x from both sides)

    -1x = - 8

    (divide by - 1 on both sides)

    x=8

    (or ZY = 8 actually)
  2. 25 September, 17:00
    0
    Hence, the value of:

    zy=20

    Step-by-step explanation:

    It is given that:

    wz is perpendicular to vy.

    Also wz bisects vy.

    We are asked to find the length of the segment zy?

    Such that we are given:

    vz=2x+4, zy=3x-4

    Since wz bisects vy that means it divides line segment vy into two equal lengths. i. e. vz=zy

    Also,

    vz=2x+4 and zy=3x-4

    Hence,

    2x+4=3x-4

    ⇒ 3x-2x=4+4 (since taking variable term to one side of the equation and constant term to the other)

    ⇒ x=8

    Hence, the length of segment zy is:

    3x-4=3*8-4

    3x-4=24-4=20

    Hence, the length of zy is 20
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