math

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2. Mrs. young has her 18 students seated in a circle. They are evenly
spaced and numbered in order. which student is directly opposite these three students?
.student#1?
.student#5?
.student#18?

  • math -

    Draw a picture and figure it out. Put students at 20 degree increments around the circle. The largest number minus the smallest, across from each other, must equal 9.

  • math -

    #1=9
    #5=12
    #18=8

  • math -

    Just another thought.

    N = number of students equally spaced around the circle and numbered sequentially.

    The student number opposite a given student number is defined by Sopp = Sg +/- N/2 depending on whether the given student number is less/more tan N/2.
    The student opposite student #1 = 1 + 18/2 = #10.
    The student opposite student #5 = 5 + 18/2 = #14.
    The student opposite student #18 is 18 -- 18/2 = 9.

  • math -

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