Answer: 
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral are supplementary, so:

This means that 
ANSWER


EXPLANATION
We want to solve

where

We reciprocate both sides of this trigonometric equation to obtain:

We take arctangent of both sides to get;


This is the principal solution.
The tangent ratio is also positive in the third quadrant.
The solution in the third quadrant is

Answer: The answer is (C) cannot be determined.
Step-by-step explanation: Given that Jennifer and James planned to drive from home to the stadium to watch a football match on a rainy day. The distance from home to stadium is 30 miles.
Also, when they reached half the distance, i.e., they covered 15 miles, then they realised that they forgot the tickets, because of which they had to drove back to home and then again to the stadium.
Therefore, the total distance they covered = 15 + 15 + 30 =60 miles, i.e., they had to cover double the distance from home to the stadium.
Finally, it is given that the game was fantastic with final score of 21 to 20. This information has no relation to the original question which was about the distance, not score and we cannot find out score from the given information.
Thus, the correct option is (C) cannot be determined.
Answer:
Step-by-step explanation:
First of all, I can't think of a single exception to this, but when you rotate a figure, the two figures are congruent If all you do is rotate it.
2y/2 = 5/2 Divide both sides by 2
y = 5/2
y = 2.5
2x = 67 degrees Divide both sides by 2.
2x/2 = 67/2 x = 33.5
3w + 3 =12 Subtract 3 from both sides
3w + 3 -3 = 12-3 Combine
3w = 9 Divide by 3
w = 9/3
w = 3