9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
The box and whisker plot is attached.
We first order the data from least to greatest:
6, 7, 11, 13, 14, 15, 15, 19, 21
The median is the middle value, or 14.
The lower quartile is the median of the lower half (split by the median). This is between 7 and 11: (7+11)/2 = 18/2 = 9
The upper quartile is the median of the upper half (split by the median). This is between 15 and 19: (15+19)/2 = 34/2 = 17
The highest value is 21.
The lowest value is 6.
We draw the middle line of the box at 14, the median. We draw the left side of the box at the lower quartile, 9. We draw the right side of the box at the upper quartile, 17. From the right side of the box, we draw a whisker to the highest value, 21. From the left side of the box, we draw a whisker to the lowest value, 6.
1) x = 60/31 = 1.935
2.) m = 8/3 = 2.667
So if you go on tiger algebra, they will show the steps taken to get there. Hope this helps!
Answer:
The (prediction) for the number of times the spinner <u>wont</u> land on green is 14 times.
Step-by-step explanation:
First you need to find the possibility it will land on green. since there are 2 green spaces out of 9 possible spaces, there is a 2/9 chance you <u>will</u> get green from spinning. <u>This means there is a 7/9 chance you won't get green from spinning once.</u> By multiplying the fraction by the number of times you will spin, it is most likely you will get green 14 times out of 18 spins.