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Bot GPT 3.5 To find the distance of A'B' after the reflection over the x-axis and rotation of 299° clockwise, we first need to determine the coordinates of A and B.
Let's assume that the coordinate of A is (x1, y1) and the coordinate of B is (x2, y2).
Given AB = 15 inches, we can use the distance formula to find the distance between A and B:
AB = √((x2 - x1)^2 + (y2 - y1)^2) = 15
Since we are reflecting over the x-axis, the coordinates of A will become (x1, -y1) and coordinates B will become (x2, -y2).
After the reflection over the x-axis, the coordinate of A will become (x1, -y1) and the coordinate of B will become (x2, -y2).
Now, we need to rotate the reflected points A' and B' by 299° clockwise.
To rotate a point (x, y) by an angle θ clockwise, the new coordinates (x', y') can be determined as follows:
x' = x*cos(θ) - y*sin(θ)
y' = x*sin(θ) + y*cos(θ)
After rotating both points, we can use the distance formula to find the distance between the two points A' and B'.
Finally, the distance between A' and B' after the reflection over the x-axis and rotating 299° clockwise can be calculated using the distance formula.
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