use the commutative property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.step 1: [missing]step 2: 10+13a=10+13astep 3: the expressions are equivalent because they both equal the same value.(1 point)responses12a+10=10+12ad plus 10 plus a equals 10 plus a plus d10+12a+a=10+13ad plus 10 plus a equals 10 plus a plus d12a+10+a−a=10+a+12a−ad plus 10 plus a equals 10 plus a plus d12a+10+a−10=10+a+12a−10

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To determine the missing step using the commutative property, we need to rearrange the terms in the expression, which states that the order of addition does not affect the sum.

**Step 1:**
12a + 10 + a = 10 + 12a + a

The expression can also be rearranged as \(10 + a + 12a\) (keeping \(10\) and \(a\) first).

Thus, the complete proof would be:

**Step 1:** 12a + 10 + a = 10 + 12a + a
**Step 2:** 10 + 13a = 10 + 13a
**Step 3:** The expressions are equivalent because they both equal the same value.

To clarify the options you provided, the correct missing step is:

**12a + 10 + a = 10 + 12a + a.**