Use a table to find the solution to the situation. Sam needs a web designer. Designer A is offering her services for an initial $470 in addition to $105 per
hour. Designer B is offering her services for an initial $695 in addition to $60 per hour. When will the two
designers charge the same amount of money?
The two designers will charge the same amount of money after ( blank) hours.

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'.

27 +27 or 27times 2=54

the diffrence is 0