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MrMuchimi
3 years ago
10

I would like to know what is the value of z

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

From the chord theorem we know that:


\overline{TW}\cdot\overline{UW}=\overline{CW}\cdot\overline{VW}


so:


\overline{TW}\cdot\overline{UW}=\overline{CW}\cdot\overline{VW}\\\\3\cdot\overline{UW}=x\cdot6\\\\3\cdot(\overline{TU}-\overline{TW})=x\cdot6\\\\
3\cdot(x+7-3)=x\cdot6\\\\3\cdot(x+4)=x\cdot6\\\\3x+12=6x\\\\12=6x-3x\\\\3x=12\qquad|\div3\\\\\boxed{x=4}


Answer C.

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