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slavikrds [6]
3 years ago
14

What is the number of sides of a regular n gon if one of the extierior angles is 40 degrees?

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0
Sum of all exterior angles = 360°

Size of one exterior angle = 40°

Number of sides = 360 ÷ 40 = 9

-----------------------------------------------------------
Answer: There are 9 sides to this polygon.
-----------------------------------------------------------

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Using a system of equations, it is found that the unit prices are:

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For the system:

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From the table, the equations are:

2x + 2y + z = 9.25

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x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

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Since x = 5.25 - 2y:

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y = \frac{10.5}{7}

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Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

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  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

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