Solve each given equation and show your work. tell wether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contraction, or neither. a) 20 -4x=12 -x+8-3x b) 5x+4x-3=24+8x c) 5x+6=2x+6+3x-15

See below in bold.

Step-by-step explanation:

(A) 20 -4x=12 -x+8-3x

-4x + x + 3x = 12 + 8 - 20

0 = 0  This is an Identity.

Infinite solutions.

B). 5x+4x-3=24+8x

9x - 8x = 24 + 3

x = 27.  One solution.

C.  5x+6=2x+6+3x-15

5x - 2x - 3x  = -15 + 6 - 6

0 = -15

No solution.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.