Find the value of z in the similar figures (round to the nearest tenth)

A. 12
B. 6
C. 13.3
D. 7.3

Question

Find the value of z in the similar figures (round to the nearest tenth)

A. 12
B. 6
C. 13.3
D. 7.3

anonymous · Answer

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anonymous · Answer

In order to get the answer would I have to do something like this? Or am I wrong?

$$\frac{ 8 }{ 18 } = \frac{ Y }{ 6 }$$

If so were would I go from there? 

Thanks to anyone who can help me :)

directrix · Answer

Lengths of corresponding sides of similar triangles are in proportion.

So, 8 is to z as 4 is to 6.

8/z = 4/6

8/z = 2/3

Cross multiply:

2*z = 8*3

z = ?
@jazzeejess

anonymous · Answer

@Directrix so the answer would be 12. Correct?

directrix · Answer

Yes, 12 is what I got.

anonymous · Answer

Thank you :) Much appreciated!