Question

Given that BC is parallel to DE, which is parallel to FG, find the value of each variable.


A. w = 3, x = 12, y = 2, z = 9
B. w = 6, x = 12, y = 1, z = 7
C. w = 3, x = 3, y = 2, z = 7
D. w = 6, x = 3, y = 1, z = 9

Answer 1

how far did you get?

Answer 2

I figure it's either A or C

Answer 3

why those two choices?

Answer 4

I think A

Answer 5

Wait, nevermind. I meant the other way around, lmao. I eliminated A and C

Answer 6

It's D I'm pretty sure

Answer 7

how did you eliminate A and C?

Answer 8

I figure W has to be more than 3, right? As it's getting longer in the diagram

Answer 9

how long is AC?

Answer 10

6

Answer 11

And CE?

Answer 12

12

Answer 13

fill in the blank

6 * _____ = 12

Answer 14

2

Answer 15

that means we multiply AB by 2 to get the length of BD

Answer 16

So, BD is 6, now how do I find z?

Answer 17

first you need x

Answer 18

and how do I find x?

Answer 19

check out this page

http://www.mathwarehouse.com/geometry/similar/triangles/angle-bisector-theorem.php

Answer 20

I know it's D for sure

Answer 21

Thanks jim

Answer 22

good

Answer 23

There's no way x would be = to 12, so that eliminates B.

Answer 24

Thank you so much

Answer 25

you're welcome