Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
The total number of cars rented for the first 5 months is
8 + 16 + 32 + 64 + 128 = 248
Answer:
This type of study design is
Clinical Trial
Step-by-step explanation:
- It is clinical trial because in this study design a treatment is given to the individuals and then we observe this treatment. In this experiment, we are studying the effects by giving 500 mg of Vitamin and Placebo to the soldiers.
- It is not a cross-sectional study because this type of study is used to analyze characteristic of the population depending upon data but this study is not used for disease.
- It is also not a case-control study as well as prospective cohort study because case-control study is used to observe the new cases of a disease while prospective cohort study is used for determining risks or exposure factors of a disease.
- It is not a community trial as in which a community is under observation like a city or a country and it is also not a historical prospective cohort study because in this study type, we observe the cohorts (similar objects) with the different qualities. They are studied on the basis of these qualities.
Answer:
Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.
Step-by-step explanation:
For x = -5: y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)
For x = -2: y = -3 - 2 * (-2) = 1, so the coordinates are (-2, 1)
(Etc.)
Then, plot these coordinates and draw a line through them to complete the graph.
Total are of Rhode Island = 1500