Point C on line segment BD. Given BD = 5x, BC = 4x, and CD = 4, determine the numerical length of BD.

Question

Point C on line segment BD. Given BD = 5x, BC = 4x, and CD = 4,
determine the numerical length of BD.

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Lệ Thu 5 years 2021-08-05T21:32:02+00:00 1 Answers 156 views 0

Answers ( )

  1. Philomena
    0
    2021-08-05T21:33:49+00:00
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    Answer:

    The numerical length of BD is 20 units

    Step-by-step explanation:

    Let us solve the question

    ∵ Point C lies on the line segment BD

    → That means C divides BD into 2 parts

    ∴ C divides BD into 2 parts BC and CD

    ∴ BD = BC + CD

    ∵ BD = 5x

    ∵ BC = 4x

    ∵ CD = 4

    → Substitute them in the equation above

    ∴ 5x = 4x + 4

    → Subtract 4x from both sides

    ∵ 5x – 4x = 4x – 4x + 4

    ∴ x = 4

    → Substitute the value of x in the expression of BD

    ∵ BD = 5x

    ∵ x = 4

    ∴ BD = 5(4) = 20

    ∴ The numerical length of BD is 20 units

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