the trip for children was 37 percent cheaper than for adults. Write the number we need to multiply the price for an adult to get the children's price.

0.67.

Step-by-step explanation:

While the trip for children is 37% cheaper than the trip for an adult, it can be said that the value of the trip for children is 63% of the value for adults (100-37 = 63).

Thus, to determine the value of the tickets for children, the value of the tickets for adults must be multiplied by 0.67, that is, proposing the following equation: A x 0.67 = C.

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'.