Answer: OPTION A
Step-by-step explanation:
It is important to remember the "Angle Addition Postulate" in order to solve this exercise.
You have this larger angle:

According to the "Angle Addition Postulate", if the point "C" is in the interior of
, then the measure of this angle can be obtained by adding the angle
and the angle
.
You can observe in the figure that:
Then you get that:

Therefore, the correct answer is Option A.
Answer:
x-3 =27
Step-by-step explanation:
F(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
Answer:
P(t) = 10t - 400
Step-by-step explanation:
Selling price of each ticket = $10
Cost of setting up the dance= $400
Profit = Revenue - cost
Revenue = price × quantity
Revenue that will maximize profit = 10t
where t= quantity of tickets that maximises profits
Cost = $400
Profit(t) = Revenue - cost
P(t)= 10t - 400
Answer:
12
Step-by-step explanation:
Well, 12/12=1, which I guess is the smallest number we can get, and 12 is divisible by 2 too.