Which shows the pre-image od quadrilateral w'x'y'z' before the figure was rotated according to the rule (x, y) -> (-x,-y)?

The pre-image of the quadrilateral is attached.

Step-by-step explanation:

Each point (x, y) is rotated with the rule (x, y) -> (-x, -y).

So, point W'(2, 3) was W(-2, -3) before rotation.

X'(6, 3) was X(-6, -3)

Y'(6, 4) was Y(-6, -4).

Z'(3, 5) was Z(-3, -5).

The pre-image of the quadrilateral is attached.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47