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1)In the diagram below, we have angle PQR = angle PRQ = angle STR = angle RST, QR = 8, and QS = 2. Find PQ.

Image~ https://latex.artofproblemsolving.com/4/3/0/4302d19b0763e32ee077a4add3ad46f7bc977ea2.png

 

2)In triangle ABC, AB = 3, BC = 4, and angle B = 90 degrees. Square DEFG is inscribed in triangle ABC such that D and G are on side AC, E is on side AB, and F is on side BC. Find the side length of the square.

 

3) In triangle ABC, angle A = 30 degrees and angle B = 60 degrees. Point X is on side AC such that line segment BX bisects angle ABC. If AB = 12, then find the area of triangle BXA.

 

4) Points A, B, and C are on sides WX, YZ, and XY of rectangle WXYZ as shown below such that XA = 4, YB = 18, angle ACB= 90 degrees, and YC = 2XC. Find AB.

Image ~https://latex.artofproblemsolving.com/0/6/1/061230f0b1b17bcd40886b56dbcbbc0368db13b5.png

 Apr 8, 2020
 #1
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Your second question has been answered here.

Your third question has been answered here.

Your fourth question has been answered here.

 Apr 8, 2020
edited by HELPMEEEEEEEEEEEEE  Apr 8, 2020
edited by HELPMEEEEEEEEEEEEE  Apr 8, 2020
 #3
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Thank you, so much

Guest Apr 8, 2020
 #4
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Welcome!

HELPMEEEEEEEEEEEEE  Apr 8, 2020
 #2
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Please check if your questions have been answered before (correctly) so you don't repeat questions.

 

Hope it helps! 

 Apr 8, 2020

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