A circle is a geometric object that has symmetry about the vertical and horizontal lines through its center. When the circle is a unit circle (of radius 1) centered on the origin of the x-y plane, points in the first quadrant can be reflected across the x- or y- axes (or both) to give points in the other quadrants.
That is, if the terminal ray of an angle intersects the unit circle in the first quadrant, the point of intersection reflected across the y-axis will give an angle whose measure is the original angle subtracted from the measure of a half-circle. Since the measure of a half-circle is π radians, the reflection of the angle π/6 radians will be the angle π-π/6 = 5π/6 radians.
Reflecting 1st-quadrant angles across the origin into the third quadrant adds π radians to their measure. Reflecting them across the x-axis into the 4th quadrant gives an angle whose measure is 2π radians minus the measure of the original angle.
Answer:
(-3,-4)
Step-by-step explanation:
Answer:
6 laptops
Step-by-step explanation:
First, find the amount spent on the textbooks:
30(116)
= 3480
Subtract this from the total amount they have to spend:
6500 - 3480
= 3020
Divide this amount by 439 to find how many laptops they can buy:
3020/439
= 6.8
Round down to 6 since you can only have full laptops:
= 6
So, they can buy 6 laptops
complementary angles = 90 degrees
two angles would be BGC (35 degrees) and CGD ( 55 degrees)
35+55 = 90
