Respuesta :

9514 1404 393

Answer:

  18

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces is the same for each chord:

  EU·ES = ET·EV

  8·9 = (12x)(6x)

  72 = 72x^2

  x^2 = 1   ⇒   x = 1

Then the length of interest is ...

  TV = ET +EV = 12·1 +6·1

  TV = 18