How did the Netherlands established territorial claims in North America?

The explorations of Henry Hudson established the territorial claims of the Dutch in North America. ... Early Dutch settlers were interested in fur trade. By 1660, nearly 8,000 people had settled in the colony.

d. i assume the underlined word is "role." reformat if it isn't.

explanation:

role is closest to part because when replacing words, "playing a vital decision," "playing a vital activity," and "playing a vital dollar" don't make logical sense. the only meaningful choice is "playing a vital part."

this fits one of merriam-webster's definitions of role: "a function or part performed especially in a particular operation or process."