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1. Decagon ABCDEFGHIJ is rotated centered at G by an angle of x, and moves point D to J. If x<180, find x.

 

2. Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -2/3 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/the area of XYZ.

 

3. Let T be a point inside square EFGH such that TE=1, TF=2, and TG=3. Find angle ETF.

 Apr 12, 2020
 #1
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1. Angle x = 65 degrees.

 

2. The ratio is (2/3)^2 + (2/3)^3 = 20/27.

 

3.

 Apr 13, 2020
 #2
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Ok, after getting some help for number 2, I can't trust that number 1 is right because first, you didnt really show much work, and second, i got a different answer that was correct for number 2.

Guest Apr 13, 2020

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