find the measure of the line segment TV

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