WILL GIVE BRAINLIEST!
2017 AMC 12A Problem 24
Quadrilateral [tex]ABCD[/tex] is inscribed in circle [tex]O[/tex] and has side lengths [tex]AB=3, BC=2, CD=6[/tex], and [tex]DA=8[/tex]. Let [tex]X[/tex] and [tex]Y[/tex] be points on [tex]\overline{BD}[/tex] such that [tex]\frac{DX}{BD} = \frac{1}{4}[/tex] and [tex]\frac{BY}{BD} = \frac{11}{36}[/tex]. Let [tex]E[/tex] be the intersection of line [tex]AX[/tex] and the line through [tex]Y[/tex] parallel to [tex]\overline{AD}[/tex]. Let [tex]F[/tex] be the intersection of line [tex]CX[/tex] and the line through [tex]E[/tex] parallel to [tex]\overline{AC}[/tex]. Let [tex]G[/tex] be the point on circle [tex]O[/tex] other than [tex]C[/tex] that lies on line [tex]CX[/tex]. What is [tex]XF\cdot XG[/tex]?
SHOW ALL WORK!