Answer quickly

in the diagram, which must be true for point p to be the
centroid of the triangle?
in i jk, jo i lk, and jl 1 mk.
jl = lk = kj
jm = ml, lo = ok, and kn = nj.
ln is a perpendicular bisector of jk, jo is a
perpendicular bisector of lk, and mk is a perpendicular
bisector of jl.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

What are the solutions to the following equation? |m| = 8.5 the value of m is equal to 8.5 and because each distance from zero is 8.5.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.