Answer:
The first two are parallel and the last one is not parallel
Step-by-step explanation:
TO find out whether LN is parallel to XY, we must check to see if the ratio from LX to XM is the same as the ratio from NY to YM
First one:
LX:XM is equal to 2:7
NY: YM is equal to 4:14
Since NY to YM is exactly double of LX to XM, the lines are parallel
Second one:
LX:XM is equal to 2:6
NY:YM is equal to 3:9
Since both of them have similar ratios,
or both can be divided by 1:3, the lines are parallel.
(2:6= 1:3 x 2) (3:9= 1:3 x 3)
Third one:
LX:XM is equal to 2:3
NY:YM is equal to 4:7
Neither of them have a similar ratio or a common factor, so the lines are not parallel
