One queso dip recipe calls for 4 pieces of cheese and 2 peppers. Hector triples the recipes when he makes queso for his family. How many pieces of cheese for every 1 pepper?

2 pieces of cheese for 1 pepper.

After tripling it: 12:6

Step-by-step explanation:

Focus on the first sentence.

4 pieces of cheese to 2 peppers. Turn it to ratio.

4:2

Simplify:

2:1

So, for every 1 pepper, we have 2 pieces of cheese.

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'.