Parallel lines q and r interested by transversal p. Which is the value of x?

The value of x is equal to 23.

  23

Step-by-step explanation:

Where a transversal crosses parallel lines, same-side interior angles are supplementary. The marked angles have a total of 180°.

  (3x +28) +(2x +37) = 180

  5x +65 = 180 . . . . collect terms

  x +13 = 36 . . . . . . . divide by 5

  x = 23 . . . . . . . . . . subtract 13

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0