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masya89 [10]
3 years ago
15

An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

                                                                          = (n - 2 )\times 180

Therefore, Each \ interior \  angle = (\frac{n - 2}{n} )\times 180

Sum \  of \  one \  of \  the  \ interior \  angle \  with  \ its  \ exterior \  angle \  is \  180^\circ

                      [ \ because \ straight \ line \ angle = 180^\circ \ ]

That is ,

Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180  = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9

OR

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is  40

Therefore ,

               n \times 40 = 360\\\\n  = \frac{360}{40} \\\\n = 9

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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rosijanka [135]

Answer:

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Step-by-step explanation:

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For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.

From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.

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  • keep in mind there’s an addition between the two

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5 0
3 years ago
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Answer:

Step-by-step explanation:

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Graphic Representation of the Equations :

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Solve by Substitution :

// Solve equation [2] for the variable  x

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// Plug this in for variable  x  in equation [1]

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// Solve equation [1] for the variable  y

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// Use the  y  value to solve for  x

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Solution :

{x,y} = {-44/13,45/13}

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Answer:

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Step-by-step explanation:

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