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Mathematics

1 answer:

JulijaS [17]3 years ago

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Answer:

aye down load the app Socratic

Step-by-step explanation:

just take a picture and it will show you the answers

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∴ ∠BAD = $sin^{-1}$ (0.2044) = 11.8°

Step-by-step explanation:

i) AD = 9 cm

ii) DC = 3 cm

iii) ∠BCD = 35°

iv) Since AB is parallel to DC and ∠ABD = 90° then we can conclude that ∠BDC = 90°.

v) $\frac{BD}{DC} = \frac{BD}{3\hspace{0.1cm}cm} = tan(35)$ = 0.6128 ∴ BD = 3 $\times$ 0.6128 = 1.84 cm

vi) ∴ sin(∠ BAD ) = $\frac{BD}{AD}$ ⇒ sin(∠ BAD ) = $\frac{1.84}{9}$ = 0.2044

∴ ∠BAD = $sin^{-1}$ (0.2044) = 11.8°

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