Answer:
The side closest to P is the side that is on the same side of the angle bisector as P.
Step-by-step explanation:
The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.
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The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.
A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.
For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant
Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.
Answer:

Step-by-step explanation:
The conjugate of a radical expression is obtained by changing the sign of the middle term.
The conjugate of
is simply 
Therefore, to obtain the conjugate of the given expression we simply shall be changing the negative sign to positive;
The conjugate of
is simply;

Answer:
Estimated=189
Exact=190.026
Step-by-step explanation:
Estimated values
20.7 to nearest whole number= 21
9.18 to nearest whole number= 9
Product means multiplication
Estimated product of 20.7 and 9.18
=21×9
=189
Exact product of 20.7 and 9.18
=20.7 × 9.18
=190.026
It has 3 decimal places
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of males on the elevator
y ----> the number of females on the elevator
we know that
The inequality that represent this situation is

The solution of the inequality is the shaded area below the solid line 
The slope of the solid line is negative
The y-intercept of the solid line is (0,18)
The x-intercept of the solid line is (15,0)
see the attached figure
The solution is the triangular shaded area
The maximum number of females is 18 (when the number of males is zero)
The maximum number of males is 15 (when the number of females is zero)