X + y = 180
x = 4y
Plug that in and you get: 4y + y = 180
5y = 180
y = 36
If you want the larger angle, simply plug in y to x = 4y
So: x = 4(36) = 144
The smaller angle is 36 degrees, and the larger angle is 144 degrees.
Answer:
The data file is included in attached excel file.
Step-by-step explanation:
There are seven variables in the data file for four persons interviewed. Person type, marital status, ethnic group and gender are categorical variables while age, number of pets and GPA are quantitative variables. Person type is classified as A,B,C and D. Marital status consists of category married and single. Age of persons lies between 20-50. Ethic group has three categories that are white, Asian and Hispanic. Gender of persons has two categories male and female. Number of pets for the persons interviewed lies in the range of 2 to 5. Last GPA variable ranges from 2.2 to 3.8.
<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>
<em><u>Solution:</u></em>
Given that,
The average American spent $8,508 on health care in 2011
The cost of health care is projected to rise about 5.8% per year for the years 2012-2022
<em><u>The increasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is growth rate in decimal
t is number of years
From given,
a = 8508
t = 2011 to 2014 = 3 years
<em><u>Substituting the values, we get,</u></em>
Thus the projected amount the average American spent on health care in 2014 is $ 10075.91
So first, you want to find that top angle Y. You can do this by subracting 115 from 180 giving you 65. Next I started searching for K. After inserting numerous numbers into the equation I found that 10 gave me the answer as shown below.
180 - 115 = 65
4(10) + 5 = 45
6(10) + 10 = 70
70 + 65 + 45 = 180
Add those together and you get 180 degrees, which is always the total number of degrees for a triangle. So your answer is 10.
Hope this helps! <3
