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SAT, 09.11.2021 23:10 acamiyah

Triangle a b c has centroid g. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments a f, b d, and c e. The length of line segment a g is 19 x + 14 and the length of line segment d g is 9 x + 2. G is the centroid of triangle abc. What is the length of gf? units.

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