Carlos noticed a pattern in
doubles-plus-3 facts.
3+ 6 = 9
4 + 7 = 11
5 + 8 = 13
6+9= 15
7+ 10 = 17
8 + 11 = 19
a. Are the sums of doubles-plus-3
facts always even or always odd?
b. Explain why the pattern works.
a. The sums are always even.
b. Doubles facts are either an odd plus an odd number or an even plus
an even number. Both of those sums are odd. A double plus 3 is an
even plus an odd, which is always even. |

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality