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Math Help - Urgent Help Please

  1. #1
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    Urgent Help Please

    I really need help with this question, I have to present the answer and how to do it in front of my class tomorrow. If someone can please help me with as much detail as possible I would really appreciate it.

    Thanks.

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  2. #2
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    Hello, juvenilepunk!

    26. If two opposite angles of a quadrilateral measure 120,
    and the measure of the other angles are multiples of 10,
    what is the probability that the quadrilateral is a parallelogram?

    The four interior angles of a quadrilateral add up to 360.
    Since \angle A = \angle C = 120^o, then: . \angle B + \angle D \:=\:120^o


    Since \angle B\text{ and }\angle D are multiples of 10, there are 11 cases.

    . . \begin{array}{c|c} B & D \\ \hline<br />
10 & 110 \\ 20 & 100 \\ 30 & 90 \\ 40 & 80 \\ 50 & 70 \\ {\color{blue}60} & {\color{blue}60} \\ 70 & 50 \\ 80 & 40 \end{array}
    . . \begin{array}{c|c} 90 & \;30 \\ 100 & \;20 \\ 110 & \;10 \end{array}


    In only one case the quadrilateral is a parallelogram.
    Code:
              A * - - - - - - - - - * B
               / 120          60 /
              /                   /
             /                   /
            /                   /
           / 60          120 /
        D * - - - - - - - - - * C


    Therefore: . P(\text{parallelogram}) \;=\;\frac{1}{11}

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  3. #3
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    This helps so much, thanks.
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