Mesure of inscribed angle: mesure angle LMN = mesure ARC (MLN)/2
Hence angle MLN = 64°
Answer:
Step-by-step explanation:
The triangle would end up back where it started. It is hard to explain without a graph. If you have graph paper, you might want to try drawing this out. Say that the original points are at A (1,2) B (2,0) and C(0,0). Now, when we reflect the points over the x axis, they will be the same distance below the x that the points original were about the x axis. Since A was 2 units above the axis, it will now be 2 units below at (1, -2). Points B and C will stay on the x axis and will remain in place at B(2.0) and C(0,0). Since these points are on the line, they were not above the x axis, so they will now not be below the x axis.
Now, we are going to reflect the triangle over the y axis. Since C (0,0) is already on the y axis, it will not move. It will remain there. Since B(2,1) is two units to the right of the y axis, when we flip it, it will now be 2 units to the left of the y axis B (-2,0). Point C will move one unit to the left of the y axis to become (-1,2).
The last thing left it to rotate this final triangle 180 degrees. Since a circle is 360 degrees and 180 is half of a circle, it does not matter if we rotate clockwise or counter-clockwise. If you could trace our new triangle and put a plus sign at the origin (0,0). You would put your pencil on the origin and rotate the two turns at the plus sign. This would put your triangle right back to the beginning. So the original value of B would be the same. In this case C ((2,0)
<span>When 3 Triangle sides are known:
</span><span>The longest side must be less than the sum of the other 2 sides.
5, 12 and 13 - can be constructed
</span>2, 11 and 15 <span>- can be constructed
3, 7 and 11 - CAN'T be constructed - the longest side is greater than the sum of the other two.
4, 8 and 15 </span><span>- CAN'T be constructed - the longest side is greater than the sum of the other two
Source:
http://www.1728.org/trianinq.htm
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Mean= medium, so therefore mean absolute deviation is the answer