"Which statement about angles is true? A. An angle is formed by two rays that do not have the same endpoint. B. An angle that turns through 1/360 of a circle has a measure of 360 degrees. C. An angle that turns through five 1-degree angles has a measure of 5 degrees. D. An angle measure is equal to the total length of the two rays that form the angle."

a

Step-by-step explanation:

4

Step-by-step explanation:

To find:

The remainder, when 3^0 + 3^1 + 3^2 + ... +3^2009 is divided by 8

Approach and Working:

Rem (3^0/8) = 1

Rem (3^1/8) = 3

Rem (3^2/8) = 1

Rem (3^3/8) = 3

Rem (3^4/8) = 1

Rem (3^5/8) = 3 and so on…

We can observe that,

For even powers of 3, the remainder is 1

And for odd powers of 3, the remainder is 3.

Therefore, we can rewrite the given series, in terms of its remainders, as

= 1 + 3 + 1 + 3 + 1 + 3 + … + 3 = 1005 pairs of (1 + 3) = 1005 x 4 = 4020

Rem (4020/8) = 4