James cut out four parallelograms, the dimensions of which are shown below.

Parallelogram 1

length: 12 in.
width: 15 in.
diagonal: 20 in.
Parallelogram 2

length: 16 in.
width: 30 in.
diagonal: 34 in.
Parallelogram 3

length: 20 in.
width: 21 in.
diagonal: 29 in.
Parallelogram 4

length: 18 in.
width: 20 in.
diagonal: 26 in.

James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle.

4 parallelograms are put together so that one vertex from each paper exists on a point.

b

step-by-step explanation:

b

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;