What is the value of x?

enter your answer in the box.

27

Step-by-step explanation:

the angle 4x+7 is opposite to the angle 5(x-4), as a rule in this type of figures:

angles opposed by a vertex are equal

so we have:

 4x + 7 = 5(x - 4)

we multiply the 5 by (x - 4) in the right side:

4x + 7 = 5x - 20

and then we clear for x:

7 + 20 = 5x - 4x

27 = x

The value of x is 27  

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'.