The graph shows two polygons ABCD and A′B′C′D′. Describe a sequence of transformations that takes ABCD to A′B′C′D′.

Select all that apply.

Reflect ABCD over the x-axis, then translate down 1

Translate ABCD down 1, then reflect it over the y-axis

Rotate ABCD 180 degrees counterclockwise around point C, then translate down 1

Reflect ABCD over the y-axis, then translate down 1

Rotate ABCD 180 degrees clockwise around point C, then translate down 1

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Choose the linear inequality that describes the graph. the gray area represents the shaded region. a: y ≤ –4x – 2 b: y > –4x – 2 c: y ≥ –4x – 2 d: y < 4x – 2

The measurement of one angle of a right triangle is 42° what is the measurement of the third angle? (there is no picture)