If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? use prime notation in expressing the new coordinates. use full sentences and answer !

The coordinates of the new image will be:

      A'(-3,3)

      B'(-4,-1)

      C'(2,-1)

       D'(1,3)

We know that when a figure is translated k units down and h units to the left then each of  the vertices of the figure is transformed by the rule:

             (x,y) → (x-h,y-k)

Here the polygon is translated 2 units down and 4 units left.

Hence, the vertices are transformed by the rule:

              (x,y) → (x-4,y-2)

Hence, we get:

A(1,5) → A'(1-4,5-2)=A'(-3,3)

B(0,1) → B'(0-4,1-2)=B'(-4,-1)

C(6,1) → C'(6-4,1-2)=C'(2,-1)

D(5,5) → D'(5-4,5-2)=D'(1,3)

(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

50-38=12

step-by-step explanation: