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In triangle ABC, S is a point on side \overline{BC} such that BS:SC = 1:2, and T is a point on side \overline{AC} such that AT:TC = 4:3. Let U be the intersection of \overline{AS} and \overline{BT}. Find AU:US.

 May 21, 2022
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AU:US = 2:7.

 May 21, 2022

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