If you would fill in the blanks, that would really be appreciated!

By applying the slope formula , I find that the slope of segment DE is zero since the difference between the y coordinates  of points D and E  is zero and  any number divided into zero is zero.  The slope of segment AB is also zero  because  (0-0) /(x2-0) =0   Because the two segments have the same slope  they must be parallel  according to the definition of parallel lines.

Step-by-step explanation:

slope formula = (y2-y1)/(x2-x1)

slope for DE = (y1/2-y1/2)/((x1+x2/2 - x1/2)

                      = 0 /(x2/2)

                      = 0

slope for AB = (0-0)/((x1+x2/2 - x1/2)

                      = 0 /(x2-0)

                      = 0/x2

                      =0

Parallel lines have the same slope

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^