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Olin [163]
3 years ago
6

The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

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Answer:

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

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Step-by-step explanation:

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x = 3.43

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Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

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y = 195/67.5

y = 2.9

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6 0
3 years ago
Joseph has a job walking dogs and gets paid per dog. He needs to walk 45 dogs to earn enough money to pay for his soccer team fe
rusak2 [61]

Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:

t = 1.5/3 = 0.5 hours.

Hence the time it will take him to walk 45 dogs is given by:

45 x 0.5 = 22.5 hours.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
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Answer:

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