What algebraic expression is equivalent to this expression?
9(2x+6) - 18

18x+36

Step-by-step explanation:

9(2x+6) - 18

Distribute

9*2x + 9 *6 -18

18x +54 -18

Combine like terms

18x+36

18x+36

Step-by-step explanation:

We are given the expression:

We want to simplify the expression. First, let's distribute the 9. Multiply each term inside the parentheses by 9.

Combine like terms. There are 2 constants (terms without variables): 54 and -18. We can add them together.

The expression 9(2x+6)-18 is equivalent to 18x+36

c. DB is congruent to DB by reflexive property.

Step-by-step explanation:

The only mistake is in stating "DB is congruent to DB by transitive property."

The transitive property is:

If a = b, and b = c, then a = c.

Here we only have DB = DB, so there is no case of the transitive property being used.

The reflexive property states

a = a

in other words, something is equal to itself.

To state that DB is congruent to DB is stating something is congruent to itself, so you need the reflexive property, not the transitive property.

c. DB is congruent to DB by reflexive property.