Proportion problem
=

It is assumed here that the problem targets on what the value of w is in this proportion.

Step-by-step explanation:

We need to solve the problem so the value of w equals the proportion on both sides. To achieve this, we can apply the following:

Step 1: multiply each side of the equation by 6

Step 2: add 2 to both sides

Finally, we get an answer that can be expressed with fractions

Simplifying the fraction

To show the result as a fraction, we can rewrite 16 as 16= 9 + 6 + 1. Then

Then

We can prove this substituting this value in the proportion given at the beginning of the question.

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'.