geometry 12-17 only show work

Mathematics
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Dec 8th, 2014

12.  GJ = 8.25   because the triangle is isosceles.

13.  Because the triangle is isosceles, GJ = GK

       =>  x + 12 = 3x - 17

       =>  2x = 29

       => x = 14.5

    KG = 3x - 17 = 26.5

14. JK = 2 * JH = 26.5 * 2 = 53

15. Because the 3 angles are same and one side is common, all sides are same.

       => RQ = TQ = 1.3

16. Angle RST =  2 * Angle RSQ = 116 degrees.

17.  9a + 48 = 6a + 50

       => a = 2/3

       Angle QST = 6a + 50 = 12/3 + 50 = 54 degrees

Dec 8th, 2014

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