<span>The Brown v. Board decision helped break the back of state-sponsored segregation, and provided a spark to the American civil rights movement.</span>
You are most likely referring to the assassinations of Martin Luther King Jr and Malcolm X. The impacts of both of their assassinations was that the Civil Rights movements actually grew stronger, with more African Americans and white Americans coming together to fight for equality on the streets, in Presidential elections, and through activism in Churches. Both MLK and Malcolm X were good men who fought for the rights of African Americans, and they will forever be remembered for their lasting impression on this nation, not only by other African Americans, but by all Americans.
It was the Patriot Victory at Saratoga that brought these two nations together in an open alliance. Of course the Americans and French were already somewhat allied because France was also at war with Great Britain during the American Revolution.
The correct answer is "the desire to avoid entanglement in foreign conflicts."
After World War I, President Woodrow Wilson wanted to create a League of Nations (which shows that statement 1 is incorrect). This League of Nations was supposed to be an international organization that countries joined in order to maintain world peace.
However, Congress did not pass the law necessary to become part of this league. This was the United State's way of telling Wilson that we no longer wanted to get ourselves involved in the affairs of other countries.
The Tonkin Gulf Resolution increased military activity in Vietnam.