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7th grade word problem math ratio?

a. Find x using the ratio of the sides 14 cm and 16 cm: x/24 = 14/16. show some work like explain it out for me.

b. Find x using the ratio of the sides 7 cm and 8 cm. explain it out for me.

c. Explain why the answers to (a) and (b) should be the same.

2 Answers

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  • ?
    Lv 7
    8 years ago
    Favorite Answer

    a.

    Find x using the ratio of the sides 14 cm and 16 cm:

    x/24 = 14/16

    16x = 24*14

    2x = 3*14

    x = 3*7

    x = 21

    b.

    Find x using the ratio of the sides 7 cm and 8 cm.

    x/12 = 14/8

    8x = 12*14

    2x = 3*14

    x = 3*7

    x = 21

    c.

    Explain why the answers to (a) and (b) should be the same.

    14 : 16 : : 7 : 8

  • ?
    Lv 4
    5 years ago

    (17+x)^2 + x^2 = (4+3x)^2 x^2 + 34x + 289 + x^2 = 9x^2 +24x + sixteen 7x^2 - 10x - 273 = 0 (7x + 39)(x - 7) = 0 x = -39/7, 7 ? - x = 7 leg a million = (17+7) = 24 leg 2 = 7 hypotenuse = 25

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