Recently, while working on some math homework, Carmen and Mario got into a little argument. During the dispute, a part of their assignment was destroyed. All that remained of one
particular problem is shown below.

Carmen was furious. “Way to go, Mario! Now there is no way to get this problem correct! We don't
even know what f(x) is.”
“Wait a minute!” Mario quickly responded. “I’m pretty sure we can solve this anyway.”
Carmen shook her head.
Who is correct? Explain completely why and what the other person might be forgetting.

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'.

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: