Choose which best explains the distributive property.

a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value
a property of the real numbers that states that how numbers are grouped in a sum or product does not change the value
a(b + c) = ab + ac, or a(b - c) = ab - ac

a(b + c) = ab + ac

Step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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