A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

The first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Step-by-step explanation:

x represents the length of the first piece.

Hence, the second piece has a length of 2x and the third piece has a length of 3x.

Hence, x + 2x + 3x = 42 inches.

x + 2x + 3x = 42 inches

6x = 42 inches

x = 7 inches

Hence, the first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Hope this helped!

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

answer: options

step-by-step explanation: