Will give brainliest mauro has 140 ft. of rope. he will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. what will the length of the longer piece be? what will the length of the shorter piece be? how do you know? describe the process you used to solve.

Hey there !The length of the longer piece is 105 feet

Step-by-step explanation:140= x +3x

140 =4x

140/4= 4x/4

35= x

3x= 105

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

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'.