18-20. What Is The Value Of X From The Given Figure? A 12 C D

18-20. What Is The Value Of X From The Given Figure? A 12 C D

January 31, 2023

18-20. What is the value of x from the given figure? A 12 C D

✏️POWER THEOREM

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Question: What is the value of x from the given figure?

Answer: $\Large nderline{ \rm \green{ \: \: x = 8\: \: }}$

Solution: Apply the Chord-Chord Power Theorem to solve the value of x.

$(BE)(DE) = (AE)(CE)$

$(x)(6) = (12)(4)$

$6x = 48$

$\begin{gathered} \frac{ \cancel6x}{ \cancel6} = \frac{48}{6} \end{gathered}$

$x = 8$

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