Which of these levels of governments are categorized as local governments

The correct answer is:

Counties and municipalities

Local government in the United States applies to jurisdictions under the state´s level. Most states have counties and municipalities as local governments. Some states have counties split into townships. And at the municipal level, there are many different kinds of jurisdictions, such as the city, town, parish, borough, village, reservations and boundaries.

roosevelt believed that in light of the country's recent military successes, it was unnecessary to use force to achieve foreign policy goals, so long as the military could threaten force. this belief, and his strategy of “speaking softly and carrying a big stick,” shaped much of roosevelt's foreign policy.

the border between arizona and new mexico is a thin, black line; this indicates a state boundary.

its correct: it's a thin line, and it's a state boundary, correct