The polygons are similar, but not necessarily drawn to scale. find the value of x

 The required value of x is 9 units.

Step-by-step explanation:  Given that the polygons shown in the figure are similar.

We are to find the value of x in the figure.

We know that

the corresponding sides of two similar triangles are proportional.

From the given two similar polynomials, we must have

Thus, the required value of x is 9 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

24

step-by-step explanation: