8/9=?/36 15:18=5:? ? to 7 = 9 to 21

Problem 1

Work Shown:

8/9 = x/36

36*8 = 9x

288 = 9x

9x = 288

x = 288/9

x = 32

Problem 2

Work Shown:

15:18 = 5:x

15/18 = 5/x

15x = 18*5

15x = 90

x = 90/15

x = 6

Problem 3

Work Shown:

x to 7 = 9 to 21

x/7 = 9/21

21x = 7*9

21x = 63

x = 63/21

x = 3

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

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'.