Answer:
(x, y) → (x+8, y-3)
Step-by-step explanation:
You are moving the x coordinates 8 steps to the right, which is in the positive direction. This makes the change +8. This is where the x+8 comes from.
For the y coordinates, you are moving 3 down, which is in the negative direction which means it is y-3.
(You can pick one point, D, and track its movements. We can see that point D had to move 8 units to the right and 3 units down to become D'.)
I believe x is equal to 16.5 degrees.
Angle OTA is 33 degrees, and each vector of the angle is tangent to the circle, which makes the arc length of the circle 33 degrees as well.
x is on the opposite side of the circle, and the vectors of its angle contain the same portion of the circle as angle OTA. Since the angle point is on the opposite side of the circle, the arc length is double that of the angle.
Simply divide 33 by 2 and presto: 16.5 degrees.
I hope this helps! :)
The first part of this question would be
3x - 18 < -90. I'm not too sure about the second part, sorry.
Hope this helped anyway :)
The area of the shaded region is 49.2.
