I want to make sure if this was the right answer

(-4, 4)

Step-by-step explanation:

Even though I don't see it explained anywhere, it seems that what looks like the coordinates of two points is really the coordinates of the first point and the translation.

That means that (-9, 6) is the original point.

(5, -2) is the translation which is a translation of 5 in x and a translation of -2 in y.

Start with (-9, 6)

Apply the translation to x and y (-9 + 5, 6 + (-2))

You get (-4, 4)

(-4, 4)

this answer is !

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2