What is the slope of a line that is perpendicular to the lien whose equation is 2y=3x-1

-2/3

Step-by-step explanation:

We are to find the slope of a line which is perpendicular of a line with an equation .

We know that the slope of line which is perpendicular to another line is the negative reciprocal of that perpendicular line.

So writing the given equation of a line in the slope intercept form:

--->

Here the slope of this line is so the slope of a line which is perpendicular to the given line will be .

38°

Step-by-step explanation:

The figure given is a triangle.

Sum of angles in triangle  = 180°

 So;

      ∠D + ∠E + ∠F  = 180°

       ( 5x - 2)  + (9x + 3) + (11x - 21)  = 180

         5x -2 + 9x + 3 + 11x -21 = 180

          25x -20  = 180

          25x  = 200

               x  = 8

Now since ∠D = 5x -2;

                 ∠D = 5(8) - 2 = 38°