The first one? Sorry I’m im wrong
Answer
I’m not philippine so I can’t help lol
Answer: Here's all the land pieces I know
Louisiana Purchase: Sold by Napoleon to the US in 1803
Flordia: The Adam-Onis Treaty seceded Florida the US
CA, NV, UT, AZ: Treaty of Guadalupe Hidalgo ended the Mexican-American war and these territories are called the Mexican cession.
Texas: (kinda complicated) Texas won its own independence and became the Lone Star state. Because of slave issues they did not admit Texas for a number of years. The Mexcian-American war did secure a lot of these lands
Oregon Territory: This land was previously co-ruled by Britsh and the US. They wanted this to end so they divided the land in half at the 49th parallel. President Polk tried to push for more land but was rejected.
Gadsden Purchase: Last purchase of land until Alaska or Hawaii. Bought from the Mexican government to build an easier railroad route (avoid tunning through the Rocky Mountains). This is a small portion of land below New Mexico.
The correct answer to this open question is the following.
You do not include any reference to what argument, text, or paper written by James Madison, because he wrote many as part of the authors of the Federalists papers.
However, probably you are referring to "Federalist N.-10." If this is the case, then the correct answer is the following.
Madison used the comparison to bolster his argument in that he compares two forms of government: Republic and Pure Democracy. In that comparison, James Madison says that the wrongdoings and failures of Pure Democracy represent the benefits of a Republic. So he tries to promote the idea of a Republic as the new form of government for the new nation.