It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
<h3>How to find the sum of angles of a polygon?</h3>
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
Read more about Angles in a Polygon at; brainly.com/question/1592456
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C. 5/6b = 140
(*assuming b = total number of cards)
If the piles have an equal number of cards and 5 out of the 6 piles were put in the collection, 5/6 of the cards were put into the collection. The total number of cards put in the collection is 140, so 5/6b=140.
The probability of drawing a green marble is 8/20.
there are 20 marbles total and 8 of them are green.
Edit: 33% is not

, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68
The following is the original solution, which is incorrect.
33% =

. Multiply the bonus of $496 by

to get the solution of

, or 165 and

Therefore the solution is $165.33
So what I would do is first multiply the mean by 4 and that is the total u need, 146.5, to have a mean of 36 and 5/8. Next I add the lengths given, which is 110.625, and then I would subtract it from 146.5 which is 35.875 which is 35 and 7/8. You can also check the answer by finding the mean of the 4 numbers and determining if it comes out to 36 and 5/8. The answer is C. Hope this helps!