He Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____.

1 answer:

6 0

According to the angle-sum theorem, the sum of the measures of the angles of an n-gon is expressed in the formula B. (n – 2)*180. This is verified in a simplt triangle, in which the total sum of the angles inside is 180 with n of the polygon equal to 3. Hence, (3-2)*180 equal to 180 degrees.

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Can anybody help me with this?

vlada-n [284]

In the parenthesis: p^3/5 * p^2/5 = p^5/5 (You just add the exponents for multiplication)

p^5/5 is the same as p^1 or just p.

So now we have p^5 in our numerator and p^5 in our denominator. So that simplifies to 1.

7 0

3 years ago

Read 2 more answers

Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c

aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The expected value is given by the sum of each outcome multiplied by it's respective probability.

In this problem:

The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is $\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}$ .

The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is $\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}$