Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in 
and 
. We are asked to classify our given .
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:
Upon substituting our given values we will get,
As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, is an obtuse triangle and option D is the correct choice.
Answer:
15
Step-by-step explanation:
Simplify the following:
8×9 - 6×7 - 15
8×9 = 72:
72 - 6×7 - 15
-6×7 = -42:
72 + -42 - 15
72 - 42 - 15 = 72 - (42 + 15):
72 - (42 + 15)
| 4 | 2
+ | 1 | 5
| 5 | 7:
72 - 57
| 6 | 12
| 7 | 2
- | 5 | 7
| 1 | 5:
Answer: 15
Well it depends on the type of crayon box that she buys. For instance, some crayon boxes have a 24 pack box of crayons while others have 64 or maybe even a 16 pack box of crayons. So it all depends on what kind of box she bought.
B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.
To find the mean absolute deviation, we first find the mean. Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):
(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5
Now we find the difference between each data point and the mean, take its absolute value, and find their sum:
|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =
5+2+2+2+1+1+5+4+3+1 = 26
We now divide this by the number of data points:
26/10 = 2.6
This is a measure of how much each bag of candy varies from the mean.
