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2024-03-29T04:39:09Z
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https://artofproblemsolving.com/wiki/index.php?title=2024_USAJMO_Problems/Problem_6&diff=217361&oldid=217281
2024 USAJMO Problems/Problem 6
2024-03-24T15:20:43Z
<p>Same question as usamo/5</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 15:20, 24 March 2024</td>
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<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">__TOC__</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">#REDIRECT [[2024 USAMO Problems/</ins>Problem 5<ins class="diffchange diffchange-inline">]]</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">== </del>Problem <del class="diffchange diffchange-inline">==</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Point <math>D</math> is selected inside acute triangle <math>ABC</math> so that <math>\angle DAC=\angle ACB</math> and <math>\angle BDC=90^\circ+\angle BAC</math>. Point <math>E</math> is chosen on ray <math>BD</math> so that <math>AE=EC</math>. Let <math>M</math> be the midpoint of <math>BC</math>. Show that line <math>AB</math> is tangent to the circumcircle of triangle <math>BEM</math>.</del></div></td><td colspan="2"> </td></tr>
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<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">== Solution 1 ==</del></div></td><td colspan="2"> </td></tr>
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<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">==See Also==</del></div></td><td colspan="2"> </td></tr>
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Beef7
https://artofproblemsolving.com/wiki/index.php?title=User:Technodoggo&diff=217258&oldid=170234
User:Technodoggo
2024-03-23T02:27:29Z
<p>Redirected page to <a href="/wiki/index.php/Technodoggo" title="Technodoggo">Technodoggo</a></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 02:27, 23 March 2024</td>
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<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[<del class="diffchange diffchange-inline">https://artofproblemsolving.com/wiki/index.php/</del>Technodoggo <del class="diffchange diffchange-inline">Main Page</del>]</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">#REDIRECT [</ins>[Technodoggo<ins class="diffchange diffchange-inline">]</ins>]</div></td></tr>
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Technodoggo
https://artofproblemsolving.com/wiki/index.php?title=COMC&diff=217246&oldid=0
COMC
2024-03-22T20:42:11Z
<p>Redirected page to <a href="/wiki/index.php/Canadian_Open_Mathematics_Challenge" title="Canadian Open Mathematics Challenge">Canadian Open Mathematics Challenge</a></p>
<p><b>New page</b></p><div>#REDIRECT [[Canadian Open Mathematics Challenge]]</div>
Liontiger