Write the positive value of X will make DE and AB parallel to E

Question

Write the positive value of X will make DE and AB parallel to E

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Liliana 1 month 2021-08-13T13:11:21+00:00 1 Answer 0 views 0

Answers ( )

  1. Charlotte
    0
    2021-08-13T13:12:53+00:00

    Step-by-step explanation:

    In a system of parallel lines,

    DC

    AD

    =

    EC

    BE

    x+3

    8x+9

    =

    x

    3x+4

    ⇒8x

    2

    +9x=3x

    2

    +13x+12

    ⇒5x

    2

    −4x−12=0

    ⇒5x

    2

    −10x+6x−12=0

    ⇒5x(x−2)+6(x−2)=0

    ⇒(5x+6)(x−2)=0

    ⇒x=−

    5

    6

    ,2

    Since length cannot be negative, value of x should be 2.

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