3) A sample space consists of ten elements, S = {a, b, c, d, e, f, g, h, i, j}. If we let A = {a, b,c}, B = {d, e, f}, C = {f, g}, and D= {h, i, j), determine whether the events A, B, C, and D are or are not mutually exclusive.
Briefly explain your answer.

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? −5, one third , one half 5, − one third , one half 5, one third , − one half 5, one third , one half

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

What happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?