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mathematics/angles

a round cake is cut into sectors for nine friends, (including jack) at jacks birthday party. after the cake is cut there is no cake remaining, what will be the angle at the centre of the cake for jacks piece if:

a) jack receives twice as much as everyone else? (in parts b and c assume his friends have equal shares of the rest.)
b) jake receives four times as much as everyone else?
c)jake receives ten times as much as everyone else?

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eureqaaaa

  1. (a) 8x+2x = 360
    Jack gets 2x
    (b) 8x+4x = 360
    (c) 8x+10x = 360

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    oobleck

  2. hi oobleck
    what does 'x' mean?

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    eureqaaaa

  4. there are 8 people who get an equal share, so their angle in the pie chart is x degrees. The sum of all the angles is, of course a whole circle: 360 degrees.
    Jack's share (and angle) is 2x,4x, or 10x

    so now just find x in each case, and you have your necessary information. Did you actualy read the problem?

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    oobleck

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