There 6 entrances to the haunted house. if you do not exit the same way you entered, how many different ways can you enter and exit the house?

30

Step-by-step explanation:

Given: The number of entrance to the haunted house= 6

Also we can not exist from the same way of entrance.

Then the number of choices of exit will be 5.

Now, the number of different ways you can enter and exit the house =

Hence, the number of different ways you can enter and exit the house = 30

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'.