In order to understand this question, one needs to understand the construction first. After creating POQ, Meg picks a radius r and makes a circle around O. There are 2 points where the circle meets the triangle. Then, she meets another radius and she makes a circle of radius s around each of the points on the triangle. The two circles cross at one point, as can be seen in the figure. Let's name the first two points A and B and let's name the last point S. We have that for the triangles OAS, OBS we have OA=OB=r, BS=AS=s and that OS is common to both. Thus by the S-S-S triangle equality theorem, the triangles are equal. Hence for the angles AOS=BOS, namely POS=QOS. Since POQ=POS+QOS, we have that POS has to be half of POQ. The only consistent choice is the third one, POS=20 degrees and POQ=40 degrees.
Answer:
The segment bisector is MN
Step-by-step explanation:
MN divides XY into two equal lengths
Use Subtraction
1. Subtract
x+2y=7
3x-2y=-3
-------------
4x+0y=4 SIMPLIFY 4x=4
2. DIVIDE
4x=4
x=1
Substitute that into either of the original equations to get x=1, y=3
Answer:
x - 9
Step-by-step explanation:
In this case, "simplify" directs that you 1) carry out the indicated multiplication and 2) combine like terms.
-3(x+3)+4x = -3x - 9 + 4x = x - 9
Answer:
Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.
Step-by-step explanation:
