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res This Question: 1 pt 5 of 7 (0 complete) This Quiz:7 Find the exact value of

ID: 3135682 • Letter: R

Question

res This Question: 1 pt 5 of 7 (0 complete) This Quiz:7 Find the exact value of each part labeled with a variable in the following figure & Tests an State (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) aterial (Simplify your answer, indluding any radicals. Use integers or fractions for any numbers in the expression.) ma Content(Simplity your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Succes e here to search

Explanation / Answer

applying sine rule on left triangle

sin 30 = g / 9

1/2 * 9 = g

g = 9/2

applying cosine rule on left triangle

cos 30 = c / 9

c = sqrt 3/2 * 9

c = 9 sqrt 3 / 2

applying sine rule on right traingle

sin 60 = g / m

m = g / sin 60

m = 9/2 / sqrt 3 / 2

m = 9 sqrt 3 / 3

m = 3 sqrt 3