Suppose that every student in a discrete mathematics class of 25 students is a freshman, a sophomore, or a junior.

a) show that there are at least nine freshmen, at least nine sophomores, or at least nine juniors in the class. b) show that there are either at least three freshmen, at least 19 sophomores, or at least five juniors in the class.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

the ratios are reciprocals im positive

step-by-step explanation:

they are all positive numbers so it wouldn't be the other ones

the anwser is x< -17/2