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Find AC in the diagram below

 

[asy]

size(300);

pair A,B,C,O;

A=origin;
B=6*sqrt(3)*dir(150);
C=(5,0); //Looking for an answer here? Good luck : )

draw(A--B--C--cycle);

dot("$A$",A,SW);
dot("$B$",B,NW);
dot("$C$",C,SE);

label("$150^\circ$",A,dir(75));
label("$9$",A--B,SW);
label("$7\sqrt{3}$",C--B,NE);
[/asy]

 Jun 22, 2022
 #1
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AC = sqrt(7).

 Jun 23, 2022

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