Answer:
1.45
2. 135
Explanation:
1. With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.
2. Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS
The answer is 20x^2 + 14x + 2
IQR = 40
1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.
We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.
40, 45, 50, 60, 60, 75, 90, 90, 120
Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;
IQR = 90 - 50 = 40