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Zigmanuir [339]
3 years ago
10

Find the measure of arc URT

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Hello!

This question is about relating vertical angles and their arc lengths.

Vertical angles have equal angle measures, meaning that they will also have the same arc measure.

We know that arc QR and arc UT have equal angle measures because they are formed with vertical angles.

That means since we know the measure of the other two arcs, which will both be 125 since they are formed with vertical angles, we can solve for the two unknown arc lengths.

A circle is 360 degrees, meaning that we can make the following equation,

360=QR+UT+125+125

QR+UT+250=360

QR+UT=110

Since QR = UT

QR/UT=55

Now, we can solve for arc URT using all the arc measures we have.

URT=125+55+125

URT=305

Hope this helps!

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Step-by-step explanation:

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<u></u>There are two way sof doing this question: 
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<em><u>2nd solution is:
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here we suppose that the missing value is <em>x:
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Answer:

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Now, the monthly cost in Company C for using g gigabyte of data will be  

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