A board 96 inches long is cut into 2 pieces. The first piece is 6 inches longer than twice the length of the second piece. How long is each piece?

The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...

Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..

x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...

If 6x = 60 inches then

x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.

The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.

Step-by-step explanation:

not sure

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'.