Michael bought a bicycle at 20% off the original price. if she paid $240,what was the original retail price?

The original price was $288.00.

Step-by-step explanation:

First, identify your rate and your base. Your rate is 20% and your base is $240. Next, take 20% and convert it to a decimal, making .20. Third, multiply the base by the new rate, $240 x .20, but don't line up the decimals. This will give you $48.00 (your number will usually get smaller if you're working with decimals). Finally, add $48.00 to $240.00. This will give you $288.00.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.