1) AB/AC = 1/2
(3x-4)/(2x+12) =1/2
2(3x-4) = 1(2x+12)
6x - 8 = 2x +12
4x = 20 And x = 5
2) Prove AC/BC 2/3 ===== (2x+12)/(7x-2) = 2/3;
Plug in x = 5:
(10+12)/(35-2) = 22/33. Simplify numerator & denominator by 11
(2)(11)/(3)(11) = 2/3
The first choice is correct
<h3>2
Answers: </h3>
B) p and the q are switched
C) Neither p or q is negated
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Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
- Original = If P, then Q
- Converse = If Q, then P
- Inverse = If not P, then not Q
- Contrapositive = If not Q, then not P
Side notes:
- The original and contrapositive are equivalent in truth value.
- The converse and inverse are equivalent in truth value.
The answer is actually b (since there is no greater than equal to sign you use a hollow dot instead of a full dot)
