What is the length of line segment VZ?

Question

big_mike_lifting · Answer

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ivitt · Answer

Give me a second! I think I might remember what to do. :)

big_mike_lifting · Answer

No problem, take your time, lol. I'm on this chapter in my class, and I don't understand a single bit of it.

ivitt · Answer

Okay, so what you need to do is take both equations and put them together like this:
$$3x+4=5x$$
Then solve for x.

big_mike_lifting · Answer

x=2

ivitt · Answer

Correct!

big_mike_lifting · Answer

So, is it ten since the lengths are equidistant from each other?

ivitt · Answer

Um, no. It wouldn't be 10 since it's asking for the length of line VZ. and line VZ is congruent to TZ and ZU, thus making it 2 and not 10.

big_mike_lifting · Answer

It's asking for the line's length though, not the value of x.

poto · Answer

I think what she is trying to say is that the length is the value of x. and thats why they give u 5x and 3x+4