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19-12-2022
Mathematics

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a $100$-gon $p 1$ is drawn in the cartesian plane. the sum of the $x$-coordinates of the $100$ vertices equals 2009. the midpoints of the sides of $p 1$ form a second $100$-gon, $p 2$. finally, the midpoints of the sides of $p 2$ form a third $100$-gon, $p 3$. find the sum of the $x$-coordinates of the vertices of $p 3$.

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