Yes, they can add up to 180 degrees. Say one angle is 65 degrees, and the other one is 115 degrees. That would equal to 180 degrees.
Hope this helps.
When you are multiplying and have like bases, then you add the exponents.
2+3=5
3^5
Answer:
Option (4)
Step-by-step explanation:
Area of a triangle = 
Where a and b are the sides of a triangle and θ is the angle between the sides a and b.
By this rule,
Area of ΔWZY = 
45 = 
9 = (YZ).Sin(115)°
YZ = 
YZ = 9.93
Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ
= 9.93 + 10 + 9.93 + 10
= 39.86
≈ 40 units
Therefore, perimeter of the parallelogram is 40 units.
Option (4) is the answer.
Answer: The distribution of the data set is positively skewed.
<u>Explanation: </u>
In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.
For symmetric distribution, 
For positively skewed distribution, 
For negatively skewed distribution, 
The mean of the given data set is given below:



Now, the Median is:
To find the median we need to sort the data in ascending order as:







The mode is the most frequently occurring observation. Therefore the mode is:

Since the
, therefore the distribution of the given data set is positively skewed.
Answer:
The crop yield increased by 9 pounds per acre from year 1 to year 10.
Step-by-step explanation:
To solve this we are using the average rate of change formula:
, where:
is the second point in the function
is the first point in the function
is the function evaluated at the second point
is the function evaluated at the first point
We know that the first point is 1 year and the second point is 10 years, so
and
. Replacing values:
![Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-%2810%29%5E2%2B20%2810%29%2B50-%5B-%281%29%5E2%2B20%281%29%2B50%5D%7D%7B10-1%7D)
![Av=\frac{-100+200+50-[-1+20+50]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-100%2B200%2B50-%5B-1%2B20%2B50%5D%7D%7B9%7D)
![Av=\frac{150-[69]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B150-%5B69%5D%7D%7B9%7D)



Since
represents the number of pounds per acre and
the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.