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FinnZ [79.3K]
3 years ago
7

Given:circle O, with tangent segments AC and AB . What is the measure of angle A

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

B 84

Step-by-step explanation:

Angle COB = 96 (Angle CDB x2)

Lets split Quadrileteral ABOC into 2 equal parts.

Angle ABO = 90 (tangent segment of circle)

Angle AOB = 96/2 = 48

Angle OAB = 180 - 90 - 48 = 42

Angle A = Angle OAB x 2 = 42 x 2 = 84

Therefore Answer is B.

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A car drives for 1 hour 55 minutes with a constant speed of 36 km/h and then for another 1 hour 50 minutes with a constant speed
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----------------------------------------
Convert hours to minutes
----------------------------------------
1 hour 55 mins = 60 + 55 = 115 mins
1 hour 50 mins = 60 + 50 = 110 mins

_____________________________________________________

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Speed = 36/h
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1 hour = 36 km

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Rewrite 1 hour as 60 mins
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60 mins = 36 km

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1 min = 36 ÷ 60
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Find 115 mins
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1 min = 0.6 km
115 min = 0.6 x 115 
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_____________________________________________________

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Speed = 72km/h
----------------------------------------
1 hour = 72 km

----------------------------------------
Write 1 hour as 60 mins
----------------------------------------
60 mins = 72 km

----------------------------------------
Find 1 min
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1 min = 72 ÷ 60 
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Find 110 min
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1 min = 1.2 km
110 min = 1.2 x 110 
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_____________________________________________________

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Total Distance traveled:
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69km + 132km = 201km

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Answer: 201 km
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