7. what is the next fraction in each of the following patterns?
a. 1/40, 4/40, 9/40, 25/40
b. 3/101, 4/101, 7/101, 18/101, 29/101
c. 54/1, 10/2, 9/2, 18/4, 17/8, 34/32 33/256

36/40, 47/101, 192

Step-by-step explanation:

(a)The numerator (top number of the fraction) is adding up by odd numbers in order.

From 1/40 to 4/40 you add 3, from 4/40 to 9/40 you add 5, from 9/40 to 16/40 you add 7, and from 16/40 to 25/40 you add 9.

The next number to add would logically be 11. So from 25/40 you would go to 36/40.

36/40 is your next fraction.

(b)

3+4=7,4+7=11,7+11=18,11+18=29,18+29=47

(c) 1*2=2,2*2=4,2*4=8,4*8=32,8*32=256,32*256=8,192

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'.

answer: options

step-by-step explanation: