If x/y =6, y/w =4, and x=36, what is the value of w? (A) 12 (B) 32 (C) 2 (D) 4 (E) 6

w =

Step-by-step explanation:

Given

= 6 and x = 36 , then

= 6 ( multiply both sides by y )

36 = 6y ( divide both sides by 6 (

6 = y

Then

= 4 , that is

= 4 ( multiply both sides by w )

6 = 4w ( divide both sides by 4 )

 = w , that is

w =

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'.