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In the preceding diagram of circle C, chord intersects chord at W. X
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04 Feb 2022, 06:30
04 Feb 2022, 06:30
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15% (01:59) correct
84% (02:57) wrong based on 13 sessions
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In the preceding diagram of circle C, chord \(\overline{XY}\) intersects chord \(\overline{UV}\) at W. XW = z + 12, UW = z + 3, WV = z, and WY = 3. What is the length of \(\overline{XY}\)?
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21
Re: In the preceding diagram of circle C, chord intersects chord at W. X
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04 Feb 2022, 19:52
04 Feb 2022, 19:52
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For the given circle with 2 chords intersecting, the formula is \(XW * WY = UW * WV\)
XW = z + 12, UW = z + 3, WV = z, WY = 3
(z + 12) * 3 = (z + 3) * z
\(3z + 36 = z^2 + 3z\)
\(z^2 = 36\)
\(z = 6\)
\(XY = XW + WY = 18 + 3 = 21\)
Answer 21
XW = z + 12, UW = z + 3, WV = z, WY = 3
(z + 12) * 3 = (z + 3) * z
\(3z + 36 = z^2 + 3z\)
\(z^2 = 36\)
\(z = 6\)
\(XY = XW + WY = 18 + 3 = 21\)
Answer 21
General Discussion
Re: In the preceding diagram of circle C, chord intersects chord at W. X
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07 Sep 2024, 08:26
07 Sep 2024, 08:26
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