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nika2105 [10]
3 years ago
14

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

Option A. x=34\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

x=\frac{1}{2}(arc\ CD+arc\ AB)

substitute the values

x=\frac{1}{2}(23\°+45\°)

x=34\°

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4 years ago
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irina [24]
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Explanation:

Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"

Let's assume for now that they are. So we have 19/8 = 5/4

To check if that is a true equation, let's cross multiply

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The last equation is not true, so the first equation is also not true. The ratios are not in proportion.

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Alternative method:

Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.

We'll multiply top and bottom by 2 to get 5/4 turning into 10/8

Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.

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2nd Alternative method:

Use your calculator to see that

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