A25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the shorter peice . find the length of each peice

short piece = x

 long piece = 5x +1

x +5x +1 = 25

6x = 24

x = 24/6 = 4

 short piece = 4 feet

long piece = 21 feet

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.