A transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°. What is the value of x?

x=116°

Step-by-step explanation:

If a transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°, then the sum of those angles is equal to 180°.

ATQ,

x°+(x-52)°=180°

2x=180°+52

⇒2x=232

⇒x=116°

So, the value of x is 116°

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: