Given that triangle N M L is similar to triangle S R Q, what is x?

A. x = 18

B. x = 14.2

C. x = 40.5

D. x = 24

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8 Answers

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  • 2 years ago
    Best answer

    A) 18. Note that MO and RT are in a 3:2 ratio (24/16 = 3/2), so use a direct variation.

    24/16 = 27/x

    As I said before, 24/16 = 3/2, so from there just multiply 2 by 9.

  • 2 years ago

    Ans. A

  • 2 years ago

    Notice:

    RT = 18 cm

    MO = 24 cm

    So measurements in SRQ are 2/3 of NML.

    18/24 = 2/3

    Next, ML is 27 cm and 2/3 of that is 18.

    27 * 2/3

    = 27/3 * 2

    = 9 * 2

    = 18 cm

    Answer:

    A. x = 18

  • 2 years ago

    A. x = 18

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  • 2 years ago

    16/24 = x/27

    2/3 = x/27

    2(27) = 3x

    54 = 3x

    x = 18

  • alex
    Lv 7
    2 years ago

    triangle N M L is similar to triangle S R Q

    --->

    24/16 = 27/x

    solve for x

  • 2 years ago

    24 is to 16 as 27 is to X

    24/16 = 27/X Cross multiply

    24X = 16(27)

    24X = 432

    X = 18

  • sepia
    Lv 7
    2 years ago

    A. x = 18

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