Question 5 (4 points) (06.07 HC) Which expression is equivalent to 8x − 2x + 4 and why? (4 points) a 4 + 6x, because (8x − 2x) + 4 = 6x + 4 = 4 + 6x b 10x, because 8x − 2x + 4 = 6x + 4 = 10x c 8x + 2x, because 8x − (2x − 4) = 8x + 2x d 14x, because 8x − 2x + 4 = 8x + 6x = 14x

Eric drew a scale drawing of a country park. the scale he used was 1 inch = 2.5 yards. the picnic area is 80 yards wide in real life. how wide is the picnic area in the drawing ?

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Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?