According to the SCOTUS decision in New Jersey v. T. L.O., involving the search of a student's purse, school officials (at least those officials supervising students younger than high-school age) may search the possessions of a student under their authority:

i think it is the third one.

i honestly have no idea

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."

answer; procedural justice;