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Let G be the center of equilateral triangle XYZ.  A dilation centered at G with scale factor \(-\frac{4}{7}\) is applied to triangle XYZ, to obtain triangle X'Y'Z'.  Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z'.  Find A/[XYZ].

 
 May 5, 2022

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