Enter your answer and show all the steps that you use to solve this problem in the space provided.

the two triangles above are similar. find the value of x. be sure to explain your steps.
show your steps how you found the answer.

Step-by-step explanation:

Since two triangles are similar

AB/PQ=BC/QR=AC/PR

10/20=4/X

10X=20×4

10X=80

X=80/10

X=8

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:

answer:

a=9

step-by-step explanation: lmk if you need a explanation