Answer:
The sum is equal to 
Step-by-step explanation:
we know that
The formula to calculate the sum is equal to

In this problem
-----> number of terms
a1 is the first term

an is the last term

substitute

Answer:
C
Step-by-step explanation:
Coterminal angles are angles that have a common terminal side.
So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.
We have a 645° angle.
Therefore, all values of the equation:

Where <em>n</em> is an integer is coterminal with our original angle.
Letting <em>n</em> = 1 and using the negative case, we acquire:

Therefore, an angle measuring 285° is coterminal with a 645° angle.
None of the other options can be reached by adding/subtracting 360.
Therefore, our answer is C.
Answer: B
Step-by-step explanation: You make the values in the parentheses equal to zero.
(X + 3) = 0
X = -3
A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.
Answer:
6 three-point shots
Step-by-step explanation:
Amount of points scored in nine games = 162 points
If he scored the same number of three-point shots in each game, the nmber of three points shots he made in each game will be expressed as;
1 game = x points
Since 9 games = 162 points
We will cross multiply and get s:
9 * x = 162 * 1
9x = 162
Divide both sides by 9;
9x/9 = 162/9
x = 18
Hence he has made 18 points in one game.
The number of 3 points shot made per game will be 18/3 = 6 three-point shots