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.
Answer:
Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.
Angle 1=Angle 3
4x+30=2x+48
2x+30=48
2x=18
x=9
Angle 1=4(9)+30
Angle 1=36+30
Angle 1=66
Angle 1=Angle 3
Angle 1+ Angle 3=132
360-132=228
228/2=114
Angle 2= 114
An isosceles triangle has two equal sides and one unique side
Hope this helps!
- Z
I believe that it’s the first one
Answer: 2/5
Step-by-step explanation:
Number of cans of red paint = 3
Number of cans of blue paint = 5
Number of cans of green paint = 8
Number of cans of yellow paint = 4
Total number of cans of paint = 20
The probability that Eduardo will
choose a can of red paint or a can of blue will be:
= P(red) + P(blue)
= 3/20 + 5/20
= 8/20
= 2/5
The probability is 2/5.