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marshall27 [118]
3 years ago
10

Find the measure of AD⏜ in ⊙F ? LESSON Measuring Angles and Arcs Explain your reason

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Answer:

153

Step-by-step explanation:

Angle AFE is 63 and Angle DFE is a 90 degree angle add them both up and you get 153

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Step-by-step explanation:

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Step-by-step explanation:

Use Sine rule.

\frac{ac}{ \sin(b) }  =  \frac{ab}{ \sin(c) }  \\  \frac{ac}{ \sin(90) } =  \frac{10}{ \sin(42) }   \\  ac \sin(42)  = 10 \sin(90)  \\ ac =  \frac{10 \sin(90) }{ \sin(42) }  \\  ac = 14.9 \: units \: (3s.f)

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\frac{bc}{ \sin(a) }  =  \frac{ab}{ \sin(c) }  \\  \frac{bc}{ \sin(48) } =  \frac{10}{ \sin(42) }   \\  bc \sin(42)  = 10 \sin(48)  \\ bc =  \frac{10 \sin(48) }{ \sin(42) }  \\  = 11.1units (3sf)

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