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emmainna [20.7K]
3 years ago
14

Please help fast! AB=?

Mathematics
2 answers:
maria [59]3 years ago
5 0

∠A = 180° - (63°+101°)=16°

sine's rule

\tt \dfrac{AB}{sin~C}=\dfrac{BC}{sin~A}\\\\\dfrac{AB}{sin~63}=\dfrac{9}{sin~16}\\\\AB=29.09

kifflom [539]3 years ago
5 0

Answer:

AB = 29

Step-by-step explanation:

Law of Sines:

\frac{9}{sin 16} = \frac{x}{sin 63}

cross-multiply:

x·sin(16°) = 9·sin(63°)

x = \frac{9sin63}{sin16}

x = 29

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