Question

Which measures are correct? Check all that apply.

Answer 1

N = 10, so the first option is correct. the work to prove this is below:

6n - 1 = 5n + 9        (add 1)

6n = 5n + 10           (subtract 5n)

n = 10 

**** Now find the measure of the sides by plugging in what n equals. ****

CD = 4n + 2

CD = 4(10) + 2

CD = 40 + 2

CD = 42

********** Since this is a parallelogram, CD and FE have to be equal, so since FE = CD, and CD = 42, FE also has to equal 42. This makes the fourth statement true. *********************************************************************

Now find the measure of the other two sides. 

CF = 6n - 1

6(10) - 1

60 - 1

CF = 59

Since CF = 59, DE also has to eqaul 59. This means that the third statement is also true. 

Your answers should be:

n = 10

CF = 59

FE = 42