The expression once the left side of an equation is shown below. 3(x+1)+9 if the equation has no solution which expression can be written in the box on the other side of the equation a. 3(x+4) b. 2(x+6)+x c. 4(x-3)-x d. 3(x+1)+9

C. 4(x-3)-x

All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...

... 3(x +1) +9 = 4(x -3) -x

... 3x +12 = 3x -12

... 12 = -12 . . . . . false

There is no value of x that will make this true, hence NO SOLUTION.

Comment on the other choices

3x+12 = 3x+12 has an infinite number of solutions, as any value of x will make this true.

answer:

an angle is the intersection of two noncollinear rays at a common endpoint. the rays are called sides and the common endpoint is called the vertex.

this implies that the term angle is defined from the undefined term line.

for two dimension i.e., a plane which is a two dimensional figure with infinite length, infinite width and no height.

from the undefined term plane the term angle cannot be defined

therefore, the undefined term which is used to define the term an angle is line.