Geometry

http://prntscr.com/1z3lwp

Okay, so lets say I wanted to find z here.

I already know that 8 will be multiplied by 2, so I get 16 in the spot of x.

Now how would I get z? Been looking at this forever.

Question

Geometry 

>> http://prntscr.com/1z3lwp

Okay, so lets say I wanted to find z here. 

I already know that 8 will be multiplied by 2, so I get 16 in the spot of x. 

Now how would I get z? Been looking at this forever.

compassionate · Answer

@thomaster  , @ganeshie8

mertsj · Answer

Are we to understand that these are similar polygons?

esshotwired · Answer

You would use proportions.

compassionate · Answer

Yes sir.

compassionate · Answer

I don't really understand teh porportions that well.

mertsj · Answer

Then corresponding sides have equal ratios.

ranga · Answer

Looks like the original polygon is scaled down by a certain factor .
Find out the factor by comparing BC and FG.
Apply the same factor to the rest of the lengths.

mertsj · Answer

So
$$\frac{8}{6}=\frac{10}{z}$$

compassionate · Answer

Eight six over ten z? Why would we do that? Side 8 and 6 aren't congruent.

esshotwired · Answer

He is talking about sides BC and FG. you would use to corresponding sides from the polygons. that is why it is 8/6=10/z

compassionate · Answer

8/6 = 10/z 

60 = 8z 
7.5 = z 
z = 7.5

mertsj · Answer

yep

esshotwired · Answer

yes exactly!! :)

compassionate · Answer

Bazinga.

esshotwired · Answer

lol big bang theory all the way :)

anonymous · Answer

@Compassionate    plz help me