What is the value of x?

135°

Step-by-step explanation:

here's your solution

=> we know that , sum of all angles is

equal to 180°

=> hence ,we have two angles

=> 1st angle = 45°

=> 2nd angle = 9x + 18

=>. adding both angle

=> 45° + 9x + 18° = 180°

=> 63° + 9x = 180°

=> 9x = 180° - 63

=> 9x = 117°

=>. x = 117/9

=> x = 13°

=>. hence, the required angle = (13*7) + 18°

=> angle = 135°

hope it helps

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

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'.