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givi [52]
2 years ago
9

Tom, Sam and Matt are counting drum beats.

Mathematics
1 answer:
Rzqust [24]2 years ago
3 0

Question

Tom, Sam, and Matt are counting drum beats.

Tom hits a drum every 2 beats.

Sam hits a drum every 5 beats.

Matt hits a drum every 8 beats.

Tom, Sam, and Matt start hitting their drums at the same time.

How many beats is it before Tom, Sam, and Matt hit their drums at the same time?

— Need help ASAP, with the explanation to the answer if possible. —

(is this the Question )

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How do I solve for y?
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Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.

Method.
The exterior angles of a regular figure add up to 360°. 

Step One

Find out the size of the exterior angles of a  regular pentagon. 
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Step Two
Find out the value of the interior angles of a pentagon.

Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
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Interior Angle = 180° - 72° 
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Step Three
Solve for y.

There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°

y + 3*interior angles = 360°
y + 3*108 = 360 
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