Hi there!
Let there be two angles, ∠A and ∠B, that are supplementary to each other. Therefore:
∠A + ∠B = 180°
We can assign ∠B to be the greater angle. Assume ∠A has a measure of x°.
∠A = x°
∠B = x° + 30°
The sum is equal to 180°, so:
x° + (x° + 30°) = 180°
Solve for x°.
2x° + 30° = 180°
2x° = 150°
x° = 75°
Thus, ∠A = 75°.
Since ∠B is 30°, greater:
∠B = 75° + 30° = 105°.
Answer:
Choice A: . for all real numbers.
Step-by-step explanation:
We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points .
Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.
The same goes for choice D.
And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to y = 5/2x + 3/2
We have the following table:
Round Number of Strokes Above or Below 72
1 -5
2 +6
3 -2
4 -4
5 +5
So, the expression that represents the total number of strokes is:
72 + (Number of strokes Above or below 72)
Therefore, for every round we get:
Round Number of Strokes Above or Below 72 Total number of strokes
1 -5 72 - 5 = 67
2 +6 72 + 6 = 78
3 -2 72 - 2 = 70
4 -4 72 - 4 = 68
5 +5 72 + 5 = 77
The total number of strokes is:
67 + 78 + 70 + 68 + 77 = 360
Additionally, the average is the total number of strokes divided by the number of rounds, so it is equal to:
Answer: Total: 360 Strokes
Average: 72 Strokes