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sergiy2304 [10]
2 years ago
9

If mBC = (9x-53) and mCD = (2x + 45) find mBAD

Mathematics
1 answer:
Rom4ik [11]2 years ago
7 0

Answer:

m\angle BAD=73^o

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the value of x

Let

O ----> the center of the circle

we know that

Triangle BOC≅Triangle COD

m\angle BOC=arc\ BC ----> by central angle

m\angle COD=arc\ CD ----> by central angle

m\angle BOC=m\angle COD

therefore

arc\ BC=arc\ CD

substitute the given values

(9x-53)^o=(2x+45)^o

solve for x

9x-2x=45+53\\7x=98\\x=14

step 2

Find the measure of angle BAD

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD]

arc\ BC=9(14)-53=73^o

arc\ CD=2(14)+45=73^o

substitute

m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o

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pochemuha
The is Answer:

82

Explanation:

We observe that difference between first and second terms <span>=12−5=7</span>
Similarly difference between second and third terms <span>=19−12=7</span>

It shows that the given sequence of numbers is an arithmetic progression with common difference equal to 7.

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To find the <span>12th</span> term, insert given values in the general expression
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2 years ago
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Answer:

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Step-by-step explanation:

If Alice sleeps an average of 9 hs and her cat sleeps an average of 20 hours each day we can say that her cat sleeps an average of 11 hours more per day than her.

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I hope it is understandable.

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Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of
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Answer:

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Also since buses begin their routes at 6 a.m.

So, next time they will meet at

6 hours 0 minutes + 75 minutes = 7 hours 15 minutes = 7:15 a.m.

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