for her saturday art class, ms. turner had 49 paint jars and 21 canvases for her students. she needs to decide how many people she can allow to sign up to ensure she has enough supplies.

what is the largest number of people who can sign up for her class so each person gets the same amount of paint jars and each person gets the same amount of canvases?
a) 6
b) 7
c) 8
d) 9

here

step-by-step explanation:

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'.