Use the laws of Boolean algebra to show that the two Boolean expressions in each pair are equivalent. Show that a. xy + xy = x. b. Show that xy + zx = (x + y)(z + x) c. x + xy = x

a) b) and c) is proven :)

Step-by-step explanation:

a)

( For a) we used Boolean law like always true, and

a1=1a= a)

b)    

( For we used double negation , and De Morgans law and )

c) x+xy=x(1+y)=x1=x

(For c) we used Distribution law a(b+c)=ab+ac, and identity a1=1a=a)

i believe the answer is the polygon, heptagon.

any options?

step-by-step explanation: