Miguel typed 270 words in 6 minutes. his paper is 630 words. if he keeps typing at the same rate, in how many more minutes will miguel finish typing his paper?

a. 8 minutes
b. 14 minutes
c. 16 minutes
d. 22 minutes

1yd 1 ft = 1 1/12 1 1/3 1 1/2 1 1/6

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?

If 7x=9y, y/z = 7/5 , then x/z = (a) 2/7 (b) 7/9 (c) 9/5 (d) 9/7 (e) 5/9