What is the value of x so that the line segment with endpoints w(x, −2) and x(5, −4) is parallel to the line segment with endpoints y(2, 2) and z(5, 6)?

x equals six start fraction one over two end fraction
x = 6
x equals three start fraction one over two end fraction
x = 7

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

question is incomplete.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".