Δabc is similar to δaxy by a ratio of 3: 2. if bc = 24, what is the length of xy?

triangles abc and axy that share vertex a where point x is between points a and b and point y is between points a and c

xy = 8
xy = 12
xy = 16
xy = 36

The answer is XY = 16

Step-by-step explanation:

24/16   =     24/8 = 3     16/8 = 2  3:2

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'.

v,jhvljh,b.b; hk; ljujb,vuvccklokll; k,m,km,

step-by-step explanation: