Is an equilateral triangle with 60 degree angles and all sides with a length of 10 an example of a regular polygon? explain your answer by describing how this figure does or does not satisfy the criteria for a regular polygon
the sum of the interior angles of a regular five-sided polygon, also known as a regular pentagon, is 540 degrees. what is the measurement of each interior angle?
the perimeter of a regular six-sided figure, also known as a regular hexagon, is 24 inches. what is the length of each side?
a regular polygon has sides that are perpendicular. what is the measurement of each angle?

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.