Question

what is the value of x? First decent answer gets medal

Answer 1

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Answer 2

ok

Answer 3

there we go

Answer 4

Notice you have 3 horizontal lines that are marked as parallel.

Answer 5

i see

Answer 6

Then you have two kines running up and down.
The parallel lines cut off segments int eh two lines running up and down.

Answer 7

The segments are marked above 1, 2, 3, and 4.

Answer 8

Here is a theorem:
"Three or more parallel lines cut any two transversals into proportional segments."

Answer 9

so would it be something like this: 1/2 = 3/4? or would it be 1=3 and 2=4?

Answer 10

Since the horizontal lines are parallel, they cut off proportional segments in the lines running up and down.

That means

\(\dfrac{1}{2} = \dfrac{3}{4} \)

where 1, 2, 3, and 4 are the given lengths of the segments in your figure.