Which set of transformations would prove AGFE ~ AGHI?

Reflect over x=-2 and dilate G'H'I' by a scale factor of 2 from point G

Step-by-step explanation:

First you'd have to reflect from x=-2 because its still on that line but the opposite way.

So we can already narrow it down to the second or last answer.

It wouldn't translate because that doesn't change the size. Its a dilation because the size has changed. Its dilated from point G because as you can see, G is the same point on both.

So the last answer choice is correct.

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