Answer:
![y=60\textdegree](https://tex.z-dn.net/?f=y%3D60%5Ctextdegree)
Step-by-step explanation:
The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.
Therefore,
. Hope this helps!
Arccos(cos 7pi/2)
cos 7pi/2 = cos 630 = cos (630-360) = cos 270 = 0
arccos(0) = 90 since cos 90 = cos 270
(x): 0 - 30 - 45 - 60 - 90
sin (x) 0 - 1/2 - 1/2 √3 - 1/2 √3 - 1
cos (x) 1 - 1/2 √3 - 1/2 √3 - 1/2 - 0
tan (x) 0 - 1/√3 - 1 - √3 - ∞
Rules for sin cos tan value in each quadrant :
quadrant = I(0-90) - II (90-180)- III(180-270) - IV(270-360)
sin (x) = positive- positive - negative - negative
cos (x) = positive- negative- negative - positive
tan (x) = positive- negative- positive - negative
The total profit TechWiz made from MP3 and DVD players last week is ![$17 x+2178$](https://tex.z-dn.net/?f=%2417%20x%2B2178%24)
Explanation:
Let x represent the number of MP3 players TechWiz sold last week.
Let y represent the number of DVD players TechWiz sold last week.
The profit made by TechWiz on each MP3 player = $35
The profit made by TechWiz on each DVD player = $18
Total number of MP3 and DVD players TechWiz sold last week is 121
Number of DVD players TechWiz sold last week ![y = 121 - x](https://tex.z-dn.net/?f=y%20%3D%20121%20-%20x)
The total profit TechWiz made from MP3 and DVD players last week is given by
![35x+18y](https://tex.z-dn.net/?f=35x%2B18y)
Substituting
in
, we get,
![35x+18(121-x)](https://tex.z-dn.net/?f=35x%2B18%28121-x%29)
Simplifying, we get,
![35x+2178-18x\\17x+2178](https://tex.z-dn.net/?f=35x%2B2178-18x%5C%5C17x%2B2178)
Thus, the total profit TechWiz made from MP3 and DVD players last week is ![$17 x+2178$](https://tex.z-dn.net/?f=%2417%20x%2B2178%24)
Use the substitution method
-x+4x when x=-2
-(-2)+4(-2) Positive number * ( multiplying)Negative number=Negative number
2-8
=-6
Answer is -6