Over the weekend, the all smiles run had 16,478 participants for the half marathon. the all smiles 10k had 6,924 participants, and the 5-mile walk had 3,067 participants.
how many more people participated in the half marathon than in the 10k race and the 5-mile walk combined?
a. 6,487
b. 6,587
c. 9,991
d. 12,621

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'.

it's d

step-by-step explanation: