Solve for x
x/6 = x+1 / 9
x= 2
Tell whether the lines are parallel based on the given proportions
(I think they are supposed to come out equal in order for the lines to be parallel)
16/4 = 8/2
32=32
yes, the lines are parallel
10/4 = 12.5 / 5
50 does not equal 5.1, therefore no, the lines are not parallel
15/34 = 16/35
525 does not equal 544, therefore no, the lines are not parallel
12/9 = 20/15
180=180
yes, the lines are parallel
Are my answers correct?
Yes, your answers are correct. In order for two lines to be parallel, the ratios of their corresponding sides should be equal. You can determine if two lines are parallel by setting up proportions and solving for the unknown values.
For the first example:
x/6 = (x+1)/9
To solve this proportion, you can cross-multiply:
9x = 6(x+1)
9x = 6x + 6
3x = 6
x = 2
So, the value of x that satisfies the given proportion is x = 2. Therefore, your solution of x = 2 is correct.
For the second set of examples, you correctly compared the ratios of the corresponding sides and determined whether they were equal or not.
Hence, your conclusion about the lines being parallel or not is also correct based on the given proportions. Well done!