A board with 86cm in length must be cut so that one piece is 20cm longer than the other piece .find the length of each piece​

33cm ; 53 cm

Step-by-step explanation:

Let the length of one piece = x cm

Length of the other piece = (x + 20) cm

x + ( x+ 20) = 86 cm

x + x + 20  = 86

     2x + 20 = 86

              2x = 86- 20

             2x = 66

               x = 66/2

                x = 33 cm

Length of the longer piece = x + 20 = 33 +20 = 53 cm

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

i need a picture

step-by-step explanation: