Let: U = {a, b,c, d,e, f,g, h} A = {a, c,f} B = {b, c,f} C = {b, d,e, g,h} Determine the (A∩C). A. (A∩B) ∪ (A∩C) = m B. (A∩B) ∪ (A∩C) is the empty set.

The ordering of the questions here is kind of confusing, so I'll just extract what seems to be relevant. They seem like True/False questions, but that's not clear to me.

There are no common elements between the sets A and C, so

A ∩ C = { } (the empty set)

Both sets A and B share the elements c and f, so

A ∩ B = {c, f }

and since we know A ∩ C is empty, we end up with

(A ∩ B) ∪ (A ∩ C) = {c, f } ∪ { } = {c, f }

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.