The answer is C. Used guerrilla warfare tactics.
For when they took over land? well you have to know that Mexico did not want to give land to America. Eventually though, due to Mexico not having alot of people to live on said land they told Americans that they could settle there .. ONLY if they became Mexicans and they converted to Catholicism. Americans of coarse agreed...BUT......many didn't fuffil that promise . It could be said and arued that the domanent strategy for America was to settle on the land and take it over from the inside.
Answer 1. He said that over 90 years had passed since the emancipation proclamation and that he believed in gradualism. People claimed that you can't just delete all prejudice over night and he explained that he believed in gradual change as well and that 90 years is pretty gradual because things should have changed since then and went for the better.
Answer 2. Autherine Lucy was expelled from the University of Alabama where she had previously been enrolled because the board of trustees didn't want her due to her race. When she sued them and they had to take her back, they made her expulsion permanent because of a technicality in which they stated that she slandered the University.
Answer 3. It gave the desegregation movements and civil rights movements more power because that was just another example of racial inequality and extreme racism in the country. These kinds of events only strengthened them and took them to the 60s when they finally managed to win their rights through the civil rights act.