Maria and farida has 250 beads altogether. after maria used 18 beads to make a bracelet and farida gave away 2/5 of her beads, they have the same number of beads left. how many beads did maria have at first?

Maria had 105 beads

Step-by-step explanation:

Let x the number of beads Maria had

Let y the number of beads Farida had

We know because of the problem that

x + y = 250

x -18  = 3/5* y

x -3/5*y = 18

We solve this system of equation with a graphing tool

(intersection of both lines)

Answer

x = 105

y = 145

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'.