Can someone help me out

1. 14 2. 7 3. 6 4. 4 5. 18 6. 3.5 7. 4 8. 35

for number one, 34/17 is equal to 2 as 17 goes into 34 2 times. so to get the answer for the second fraction, you need to multiple the denometor (7) by two. for number two, 16/32 is equal to 1/2 if simplified by their greatest common factor (16), so for the second fraction you need to put half of the denometor (14). for number three, 21/7 simplifies to be 3, as 7 goes into 21 three times. so the first fraction must also equal three. 18/6 is equaled to three as 6 goes into 18 three times. number four - 3/12 simplifies to get 1/4, when you divide by three. so for the first to equal 1/4, you need to divide 16 by 4, which is 4. number five - 15 goes into 45 three times, so it is simplified to 1/3, so for the second multiple 6 by three to get 18. number six- is easy, 3/6 is obviously 1/2 so you must take 1/2 of 7 - which is 3.5 - to get the numerator. number seven - I CHANGED # 7! instead i got 4, as 6/9 is equal to 2/3 when divided by their common factor - 3 - so take 2/3 of 6 for the first fraction and you get 4. number eight - 2/10 is equal to 1/5 when divided by their greatest common factor to simplify, so simply multiple 7 by 5 so the seven is one fifth of the denometer (35)

ANSWER



EXPLANATION

Since the line m and line n are parallel, we use the corresponding angle property to obtain the equation,



Remember the F-pattern of the corresponding angles.

We now group like terms to obtain,



We simplify the right hand side to get,



We now divide both sides of the equation by 3 to obtain,



This finally simplifies to,