Figure abcd is a trapezoid with point a (0, −4). what rule would rotate the figure 270° clockwise?

Answer-

The rule (x, y) → (-y, x) would rotate the figure 270° clockwise and after rotation the coordinate of A will be (4, 0)

Solution-

ABCD is a trapezoid with vertex A at (0, -4)

The trapezoid ABCD is rotated 270°.

While rotating a point with coordinate (x, y) 270° clockwise, its new coordinate will be (-y, x)

So applying the rule, new coordinate of A will be (4, 0)

Therefore, the rule (x, y) → (-y, x) would rotate the figure 270° clockwise and after rotation the coordinate of A will be (4, 0)

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

what is the information provided?

step-by-step explanation: