Reason abstractly. Given: (1) If X is blue, then Y is gold.
(2) Y is not gold.
Which of the following must be true?
A. Y is blue.
B. Y is not blue.
C. X is not blue.
D. X is gold.

y is not blue

C. X is not blue.

Step-by-step explanation:

Hi there!

We're given that if X is blue, then Y is gold, but Y is not gold.

Therefore, there is no way that X is blue, because if it was, then Y would be gold. But it's not, so X is not blue.

I hope this helps!

answer:   14

step-by-step explanation:          

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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'.