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Andrews [41]
3 years ago
5

If the polygon shown below is a regular nonagon what is the value of x?

Mathematics
1 answer:
jeyben [28]3 years ago
3 0
The sum of the measures of the angles of a polygon is given by (<em>n</em> - 2)(180), where <em>n</em> is the number of sides.  In this case we would have (9-2)(180)=7(180)=1260.  This is the <u>sum</u> of the angles.  Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent.  Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9.  1260/9=140.  <em>x</em> forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to <em>x</em> would give us 180.  Therefore we find <em>x</em> by subtracting 180-140. <em>x</em> = 40.
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<h3>What is relative frequency?</h3>

The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.

Given information-

The card is selected random from the deck of cards.

Total number of trails is 40.

It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.

As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

f_r=\dfrac{11}{40}\\f_r=0.3

In the percentage from,

f_r={0.3}\times100\\f_r=30

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

Learn more about the relative frequency here;

brainly.com/question/26177128

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2 years ago
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Step-by-step explanation:

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balu736 [363]
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