An integer is represented by x. a rational number is represented by the square root of x
the value of the square root of x is between 84/18 and the square root of 41

x = 25 and √x = 5 is one of the solutions.

Step-by-step explanation:

Given that the value of the square root of x is between 84/18 and the square root of 41.

So,

⇒ ........... (1)

Now, let us assume that, √x = 5 {Satisfying the condition (1)}

⇒ x = 25 (Answer)

We also can assume that, √x = 6 {Satisfying the condition (1)}

⇒ x = 36 (Answer)

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'.

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!