Question

Need help with similarities

Answer 1

https://gyazo.com/2166872527561c4bd95bca36ea4b13cb

Answer 2

i need to find the measurement of side GF

Answer 3

I know i have to set up a proportion or whatever it's called

Answer 4

\[\frac{ GF }{ CB }=\frac{ DC }{ HG }\]

Answer 5

i don't know what to do after that

Answer 6

@satellite73

Answer 7

You have to set it up correctly, first. Make up your mind which of the two similar polygons has measurements that go on the numerators and denominators...

Because in the setup you created, on the left-side, GF is in the numerator, and GF is from the smaller polygon, but on the right, DC is on the numerator, but that's from the larger one.

Answer 8

so change the second one to be HG/DC

Answer 9

?

Answer 10

Okay, great.
Now, we have the setup like this:
\[\Large \frac{10x}{30}=\frac{56}{42x}\]

Answer 11

okay

Answer 12

Though I'm not really a big fan of big numbers, especially when they can be cancelled or simplified:\[\Large \frac{\cancel{10}x}{\cancel{30}_3}=\frac{^4\cancel{56}}{^3\cancel{42}x}\]\[\Large \frac{x}{3}=\frac{4}{ 3x}\]
Bet you can do this now :)

Answer 13

i got x=2

Answer 14

but that doesn't appear on my answer choices

Answer 15

did i do it wrong?

Answer 16

What are your choices?

Answer 17

24, 9, 20, 36

Answer 18

What's the question?

Answer 19

Never mind uhh

Answer 20

i think its 20

Answer 21

since x is 2

Answer 22

That's because you're asked for the value of GF, not the value of x.
GF is 10x, and with x = 2, the answer should be...?

Answer 23

20

Answer 24

i just remembered what the question asked for

Answer 25

Thanks :)

Answer 26

No problem