3
pies
×
3
cups per pie =

cups

Answer:

Hence, the property:

            A ∩ B = A ∪ B never hold .

Step-by-step explanation:

We are given that set  A⊂B .

This means that set A is properly contained in set B.

i.e. A≠B

This means that there are some elements in set B which are not in set A.

Now we have to show whether the following property A∩B=A∪B

always, sometimes or never hold.

As A is a proper set of B.

This means that: A∩B=A ( Since A is a smaller set)

Also, A∪B=B  (Since B is a bigger set)

                   Hence, A∩B ≠ A∪B  (Since A≠ B)

The answer is never.

Answer:

reflection over the line y = x

Step-by-step explanation:

A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.

If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)

If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)

A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x