Find two consecutive odd integers such that 77 more than the lesser is six times the greater.
the lesser consecutive odd integer is _ and the greater consecutive odd integer is _

The answer to your question is : number 1 = 13    number 2 = 15

Step-by-step explanation:

# 1 = 2n +1

# 2 = 2n +3

Conditions:

2n + 1 + 77  = 6(2n + 3)            

Simplify              2n + 78 = 12 n + 18

Solve it for n       12n - 2n = 78 -18

                            10n = 60

                              n = 60/10

                              n = 6

But

     # 1 = 2n + 1 = 2(6) + 1 = 12 + 1 = 13

     # 2 = 2n + 3 = 2(6) + 3 = 12 + 3 = 15

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'.

i think the answer would be c