Sofia is the capital. Hope this helps you.
They are both democracies. The United States is based off of ancient Rome. The United States however simplified lots of complicated things from the Roman government.
The Wilmot Proviso prevented new states from becoming slave states, the compromise enabled them to become slave states if popular sovereignty wanted them to be. California was allowed to become a new, non-slave state, and in return Slavery was enabled and allowed in the south, strengthening fugitive laws even more. To everyone it seemed like a victory for a while.
They faced racism constantly