meredith48034
meredith48034 meredith48034
  • 24-12-2020
  • Mathematics
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find the measure of the line segment TV​

find the measure of the line segment TV class=

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sqdancefan
sqdancefan sqdancefan
  • 25-12-2020

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

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