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Rama09 [41]
3 years ago
12

A peqch pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice that contained exactl

y 5 peaches, what was the angle measure of the slice to the nearest tenth of a degree?
Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer:

138.5°

Step-by-step explanation:

Since the peach pie is a circle, we have a total angle of 360°.

We need to determine what fraction of the total pie of 13 peaches is the 5 peaches contained in Joe's slice.

This is number of peaches in Joe's slice/total number of peaches in pie = 5/13. To find the angle Joe's slice measures, we multiply 5/13 by 360°.

So, 5/13 × 360°

= 0.3846 × 360°

= 138.46°

≅ 138.5° to the nearest tenth of a degree

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X= <br> Y=<br> Find the values of X and Y
Art [367]
<h3><u>Answer:</u></h3>
  • x = 50°
  • y = 65°
<h3><u>Step-by-step explanation:</u></h3>

<u>We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.</u>

  • => x + y + 180 - 115 = 180
  • => x + y + 65 = 180

<u>Since 180 - 115 equals 65, this means that </u><u>y = 65.</u>

  • => x + 65 + 65 = 180
  • => x + 130 = 180
  • => x = 180 - 130
  • => x = 50
<h3><u>Conclusion:</u></h3>

<u>Therefore, our answers are:</u>

  • x = 50°
  • y = 65°

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