Solve for x
5/3 / 4/3 = x / 20/9
x= 25/9 =2.77777....
5/4 = x/3
x= 15/4 = 3.75
20/36 / 21/x
x= 189/5 = 37.8
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, except
20/36 / 21/x
x= 189/5 = 37.8
seems to have a typo, no original equation
Yes, your answers are correct. In the first three equations, you correctly solved for x by cross-multiplying and simplifying the fractions. In the fourth equation, you solved for x by finding a common denominator and then simplifying the equation.
In the last set of proportions, you correctly identified whether the lines are parallel by checking if the cross-products are equal. If the cross-products are equal, then the lines are parallel. If they are not equal, then the lines are not parallel. You accurately determined whether the lines are parallel or not based on the given proportions.