Will make brainiest if possible need explanation too :) The points A, B, C and D lie in order on a straight line.
AB : BD = 1:4
AC: CD = 7:13
Work out AB : BC: CD
Give your answer in its simplest form.

AB : BC : CD = 4 : 3 : 13

Step-by-step explanation:

AC:CD = 7:13

AC+CD = 7+13 = 20

AB:BD = 1:4

AB = (20 / (1+4))*1 = 4   ... 1/5 0f 20

BD = (20 / (1+4))*4 = 16  ... 4/5 of 20

BC = BD - CD = 16-13 = 3

AB : BC : CD = 4 : 3 : 13

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'.