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Math Help - need some math help.

  1. #1
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    need some math help.

    5. Pic 1. Find the measures of the angles of a parallelogram in which a pair of consecutive angles have measures in a ratio of 3 to 7.

    m<D = ?

    A. 30
    B. 54
    C. 42
    D. 26

    13. Pic 2. Use the following information to answer the question.

    Given parallelogram ABCD ~ parallelogram QRST.
    AB = 8, BC = 12, QR = 6, m<S = 50 degrees

    A correct proportion is:

    A. QT = 8/12
    B. QT = 6/8
    C. QT = 6/12
    D. QT = 8/6

    The length of line QT is:

    A. 16
    B. 9
    C. 4
    D. 8
    Attached Thumbnails Attached Thumbnails need some math help.-pic-1.gif   need some math help.-pic-2.gif  
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  2. #2
    zen
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    #5

    For #5, if the ratio of the consecutive angles is 3:7, make those angles 3x and 7x. If you know that the sum of the measures of the consecutive angles of a parallelogram is 180 degrees (they are supplementary), then:

    3x + 7x = 180

    Solve for x and substitute back into 3x or 7x depending on the diagram.
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by dgenerationx2 View Post
    13. Pic 2. Use the following information to answer the question.

    Given parallelogram ABCD ~ parallelogram QRST.
    AB = 8, BC = 12, QR = 6, m<S = 50 degrees

    A correct proportion is:

    A. QT = 8/12
    B. QT = 6/8
    C. QT = 6/12
    D. QT = 8/6
    I don't know what you're asking here. If you're trying to set up corresponding ratios from parallelogram ABCD to QRST, you would have \frac{AB}{QR}=\frac{BC}{RS}=\frac{CD}{ST}=\frac{AD  }{QT}=\frac{8}{6}

    The scale factor from ABCD to QRST is \frac{8}{6}. Is that the question you need answering? Those multiple choice answers don't make sense to me.

    Quote Originally Posted by dgenerationx2 View Post
    The length of line QT is:

    A. 16
    B. 9
    C. 4
    D. 8
    BC = AD and QT = RS because opposite sides of a parallelogram are of equal length.

    \frac{AB}{QR}=\frac{BC}{QT}

    \frac{8}{6}=\frac{12}{QT}

    Solve for QT
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