Consider the given parallelogram KLMN.
Prove: 
Statement Reason
1.
Definition of parallelogram
2.
Same Side interior angle theorem


3.
Substitution property

4.
Subtraction property of equality

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5.
Angle Congruence Postulate

When two angles are equal, then they are said to be congruent by Angle congruence postulate.
Given:
a varies jointly as b and c.
a=6 when b=2 and a=3.
To find:
The variation constant and the equation of variation.
Solution:
a varies jointly as b and c.

...(i)
Where, k is the constant of proportionality.
a=6 when b=2 and a=3.




The value of k is 1.
Putting k=1 in (i), we get


Therefore, the variation constant is 1 and the equation of variation is
.
Per capita means per head or per person.
now, if a country has a small GDP hmmm say for the sake of example, $1000, and it has 1000 residents, then the per capita is $1000/1000 or a buck each.
now, $1000 is a really tiny GDP, but, if the population is say hmm 20 folks only, then the per capita amount is $1000/20, or $50 per person, now, that's a large "per capita" figure, more so than $1 per person, even though the GDP never changed, it was all along $1000.
so, if the population is comparitively small, the per capita is large, I think a good example of that is Switzerland.
sidenote:
bear in mind that per capita figures are very misleading, since you could have a tiny portion of the population making huge amounts and others making little, like in the US, and the per capita is very inaccurate to reflect the economy wealth distribution.