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Mathematics, 20.06.2019 18:04 vnfrancis3716

Will give brainliest! 2017 amc 12a problem 24 quadrilateral $abcd$ is inscribed in circle $o$ and has side lengths $ab=3, bc=2, cd=6$ , and $da=8$ . let $x$ and $y$ be points on $\overline{bd}$ such that $\frac{dx}{bd} = \frac{1}{4}$ and $\frac{by}{bd} = \frac{11}{36}$ . let $e$ be the intersection of line $ax$ and the line through $y$ parallel to $\overline{ad}$ . let $f$ be the intersection of line $cx$ and the line through $e$ parallel to $\overline{ac}$ . let $g$ be the point on circle $o$ other than $c$ that lies on line $cx$ . what is $xf\cdot xg$ ? show all work!

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