The recommended average temperature for a corn snake enclosure is 81 degree. for the
snake to survive, the temperature of the enclosure should not vary by more than 5
degrees. which absolute value equation could be used to determine the minimum and
maximum temperatures recommended fr the enclosure?

Minimum=76, Maximum=86

Step-by-step explanation:

It indicates that temperature of enclosure should not vary by more than 5, so in this case we include 5 too. If it would have said till 5 we would not include 5.

the answer is c. 23/3

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'.