Find the value of each variable. If an answer isn't a whole number, then leave it in simplest radical form. Picture will be drawn and medal will be rewarded. Please explain & show work to get the medal, so I understand how you got the answer you got.

Question

firejay5 · Answer

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mathstudent55 · Answer

Since the three horizontal lines are parallel, the segments of the two transversals are of proportional lengths.

mathstudent55 · Answer

That means the ratio of 5 to 6 is the same as the ratio of 12 to x.

mathstudent55 · Answer

You can set up a proportion and solve for x.

firejay5 · Answer

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firejay5 · Answer

@mathstudent55 Is this one the same as 18

mathstudent55 · Answer

Yes, it's the same idea. The two parallel segments cut off segments of proportional lengths in the transversals.

That means 10 is to 5 as 8 is to x.
Write that as a proportion and solve for x.

firejay5 · Answer

thanks

mathstudent55 · Answer

You're welcome.