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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

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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