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Katyanochek1 [597]
3 years ago
13

Find x. Give reasons to justify your solution.

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

x = 28

Step-by-step explanation:

If AB and CD are the straight lines, sum all the angles formed at a point lying on this line will be 180°.

m∠COE + m∠EOF + m∠FOB + m∠BOD = 180° [Angles at a point O on line AB]

3x + x + (x + 12) + m∠BOD = 180°

m∠BOD = 180° - (5x + 12)

Similarly, m∠AOD + m∠AOC = 180°

152° + m∠AOC = 180°

m∠AOC = 28°

Since, ∠AOC and ∠BOD are the vertical angles,

m∠AOC = m∠BOD

180° - (5x + 12)° = 28°

5x + 12 = 180 - 28

5x = 140

x = 28

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Answer: 06.45

Explanation: For this problem, it is essential to know that there are 24 hours in a day. With that said, we take our starting time of 16.45 and since we want to know what time it is 14 ahead (addition), we add the two numbers together.

16.45 + 14 = 30.45

Since there are only 24 hours in a day, and we have exceeded that value, we subtract 24.

30.45 - 24 = 06.45

And that is the time in Brisbane.

Alternatively, you can count time in 12-hour format and convert 16.45 to 4.45 pm by subtracting 12.

Knowing your start time is 4.45pm simply add 14 to that (or change the pm to an and add 2 since 14-12=2).

You will again get 6.45am.

Cheers.
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20" id="TexFormula1" title=" \fra
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Answer:

attached below

Step-by-step explanation:

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attached below is the remaining part of solution

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