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Step-by-step explanation:

43.-

x = [tex]\sqrt{27^{2} + 22^{2}- 2(27)(22)cos 73}[/tex]

x = [tex]\sqrt{865.66}[/tex]

x = 29.42

44.-

x = [tex]\sqrt{10^{2} + 14^{2} -2(10)(14)cos 66}[/tex]

x = [tex]\sqrt{182.11}[/tex]

x = 13.49

45.-

cos x = [tex]\frac{11^{2} - 17^{2} - 10^{2}}{-2(11)(17)}[/tex]

cos x = 0.7166

     x = 44.22°

46.-

x = [tex]\sqrt{16^{2} + 12^{2} -2(16)(12)cos75}[/tex]

x = [tex]\sqrt{300.61}[/tex]

x = 17.34

47.-

cos P = [tex]\frac{6^{2} - 13^{2} -11^{2}}{-2(13)(11)}[/tex]

cos P = 0.888

     P = 27.36°

sinR/13 = sinP/6

sin R = 13sin27.36/6

sinR = 0.996

   R = 84.71°

Q = 180 - 84.71 - 27.36

Q = 67.93°

48.-

D = 180 - 25 - 113

D = 42°

CD = 9Sin113/sin42

CD = 12.38

ED = 9sin25/sin42

ED = 5.68

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