OpenStudy (anonymous):

Find the length of BD such that ABCD is a parallelogram. A. 7 B. 8 C. 10 D. 14

2 years ago
OpenStudy (anonymous):
2 years ago

OpenStudy (danjs):

DE = EB you can solve for y from that

2 years ago
OpenStudy (anonymous):

4y-5 = 2y+1 ?

2 years ago
OpenStudy (danjs):

yep

2 years ago
OpenStudy (danjs):

so y=3 put that into the length to figure BD

2 years ago
OpenStudy (anonymous):

I'm confused :o

2 years ago
OpenStudy (danjs):

4y - 5 = 2y + 1 4y - 2y = 1 + 5 2y = 6 y = 3

2 years ago
OpenStudy (anonymous):

ohh so 6=6 ?

2 years ago
OpenStudy (danjs):

yes, just divided both sides by 2 for the last step

2 years ago
OpenStudy (anonymous):

6/2 = 3

2 years ago
OpenStudy (danjs):

right, y=3

2 years ago
OpenStudy (danjs):

Now that you know what y is, you can calculate the length of BD BD = (4y - 5) + (2y + 1) = (4*3 - 5) + (2*3 + 1) = 7 + 7 = 14

2 years ago
OpenStudy (anonymous):

ohh thank you, I was confused as to what equation I was suppose to plug 3 into haha!

2 years ago
OpenStudy (danjs):

no prob

2 years ago