What is the range of possible values for x? The diagram is not to scale. Can somebody walk me through how to do this?

Question

icalibear · Answer

|dw:1355724356910:dw|

anonymous · Answer

Is that 34 referring to the angle DBC or to the line segment BD?

icalibear · Answer

I think its referring to the angle but what you see is all thats on my paper

anonymous · Answer

Hmm...ok...

icalibear · Answer

Let's just say its the angle I'm pretty sure it is

icalibear · Answer

Is anyone there

anonymous · Answer

I'm not really sure how to help, I'm sorry.  :(

icalibear · Answer

It's okay. thanks for trying though :)

anonymous · Answer

There is something I thought of, but I'm not sure it is correct (I don't know if I'm missing something that would let me restrict the range of x-values even further), but...

If we call the final unnamed vertex A, we can say that angle ABC will be at most slightly less than 180 degrees.  So$$180 > 2x+34$$$$146 > 2$$$$73 > x$$And then of course 0 < x

I don't know of any ways to further restrict that though.

icalibear · Answer

That seems right unless it can go into negative numbers which I'm not sure is possible

anonymous · Answer

Impossible.

icalibear · Answer

So it has to stop at 0 so 73 > x would be the only answer

anonymous · Answer

That I can think of...  I am probably missing something.

icalibear · Answer

I'll look over it. Thanks though :P

anonymous · Answer

Good luck!