Answer:
3) 84°
Step-by-step explanation:
The angle formed by a chord and a tangent measures half of the intercepted arc.
m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg
We are given
Angles α and β are angles in standard position
and
α terminates in Quadrant II
β terminates in Quadrant I
and we have

we can use triangle and find cos(α)
we get

and we have

we can draw triangle

now, we can use formula

now, we can plug values

now, we can simplify it




...............Answer
Answer: The price for one adult ticket is $10 and the price for one child ticket is $7.
Step-by-step explanation:
<h3>
The correct exercise is: "At a movie theater, the price of 2 adult tickets and 4 children tickets is 48$. The price of 5 adult tickets and 2 child tickets is 64$. What is the price for one adult and one child?"</h3>
Let be "a" the price (in dollars) for one adult ticket and "c" the price (in dollars) for one child ticket.
Set up a System of equations with the data given in the exercise:

You can use the Elimination method to solve the System of equations:
1. Multiply the second equation by -2.
2. Add the equations.
3. Solve for "a".
Then:

4. Substitute the value of "a" into any original equation.
5. Solve for "c":

Answer: Taxes goes to add
Step-by-step explanation: I say this because at the end of any purchase you have to add the tax to it which would bring your end total higher and not lower