Find x and RS, if R is between Q and S, QR= 3x+ 2, RS= 2x- 2, and QS =5x. Find the perimeter of HJKwith vertices H(2, 6), J(-4, 6), and K(-4, -2).

Find the coordinates of the orthocenter of triangle HJK if H(2, 0), J(-4, 2), and K(0, 6).

Can 52, 53, and 54 be the lengths of the sides of a triangle?

Find the range for the measure of the third side of a triangle having two sides measuring 3 inches and 9 inches.

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'.

positive

step-by-step explanation:

the quadrant is facing upwards

the answer is a beach is the best place to be