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bezimeni [28]
3 years ago
6

Which pair of angles in the figure below are vertical angles? Check all that apply

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer:

Step-by-step explanation:

and

 < SYL and <EYA

Step-by-step explanation:

Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.

Now, <EYL and <AYS are vertical angles, because they are opposite when lines ES and AL cross at point Y.

Another pair of vertical angles are <SYL and <EYA, because they are opposite when lines ES and AL cross at point Y.

Therefore, all pair of angles which are vertical angles are

<EYL and <AYS

< SYL and <EYA

REMENBER : VERTICAL LINEA

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azamat
Add up the subtended arcs that these chords cut to get

44+86 = 130

Then divide that result by 2

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Final Answer: choice A) 65 degrees
6 0
3 years ago
Fill the blank with , or = please help quick!
Katyanochek1 [597]

Answer:

44. answer = a. (<)

45. answer = b. (>)

Step-by-step explanation:

To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.

So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:

10 / sin(mQRW) = 17 / sin(mRWQ)

sin(mQRW) / sin(mRWQ) = 10 / 17

The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)

In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:

15 / sin(mRTW) = 8 / sin(mTWR)

sin(mRTW) / sin(mTWR) = 15 / 8

If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)

Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.

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Answers:

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Solution

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2) The median is given by the value in the vertical line inside the box plot, in this case 16.

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Step-by-step explanation:

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