given two real numbers z and y where x​<y show that there always exists a third real number z, where x<z<y.

Five dinosaurs go for a walk and come across some lovely chicken wings. their names are rexy, bronto, steggy, paly, and terry. there are exactly 5 dozen wings(equal enough for each dino to have a dozen right? ); however, terry is on a diet and he only eats 6 wings. if paly eats 2 more than terry, steggy eats 4 more than paly, and bronto and rexy eat the same amount because they are really hungry from not eating all day, how many chicken wings did each dino eat?

Which of these triangle pairs can be mapped to each other using two reflections?

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?