Abox of wood pieces contains wood cut into triangular, square, and
pentagonal shapes. there are 80 pieces of wood in the box, and the pieces
have a total of 290 sides. if there are 10 more triangular pieces than square
pieces, find the number of pieces of wood of each shape in the box.

There are 30 square pieces, 40 triangular pieces and 10 pentagonal pieces.

Step-by-step explanation:

Let x be the number of square pieces. If there are 10 more triangular pieces than square pieces, then there are (x + 10) triangular pieces. Let y be the number of pentagonal pieces.

1. There are 80 pieces of wood in the box, then

(x + 10) + x + y = 80

2. There are

So,

3(x+10)+4x+5y=290

You get the system of two equations:

From the first equation,

Substitute it into the second equation

Hence, there are 30 square pieces, 40 triangular pieces and 10 pentagonal pieces.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.