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math

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points a,b,c,and d lie on a straight line in the given order. AC = 25 cm and BD = 46 cm. The ratio of length CD to AB is 5/2. Find the length of line segment BC in cm.
sorry miss the CD part

  • math -

    ahh, that's better

    make a sketch of a line and label point A, B, C, and D
    using CD : AB = 5:2
    label AB = 2x and CD = 5x , giving you the 5:2 ratio

    From AC = 25 you can now label BC as 25-2x
    From BD = 46 you can label BC as 46-5x

    so obviously 25-2x = 46-5x
    x = 7
    sub back in either of BC expressions, to get BC = 11

  • math -

    thanks :D

  • math -

    given formula fro "c" : A= one half (h b + b c)

  • math -

    11

  • math -

    The answer is 11!!!😄😄😄😄😄😃😃😃😃😀😀😀😉😉😉😉😉😀😀😀

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