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Line through origin bisects parallelogram

1925SpecialistCoordinate Geometry

AIME · 1999 · Problem 2

Consider the parallelogram with vertices $(10,45),$ $(10,114),$ $(28,153),$ and $(28,84).$ A line through the origin cuts this figure into two congruent polygons. The slope of the line is $m/n,$ where $m_{}$ and $n_{}$ are relatively prime positive integers. Find $m+n.$
0 students attempted0% solvedRating 1925

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