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Category: Geometry

Question-185602

Question Number 185602 by Mingma last updated on 24/Jan/23 Answered by mr W last updated on 24/Jan/23 $${say}\:{AB}={DE}=\mathrm{1} \\ $$$${BD}={DC}=\frac{\mathrm{1}}{\mathrm{2}\:\mathrm{sin}\:\mathrm{20}°} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}\:\mathrm{sin}\:\mathrm{20}°\:\mathrm{sin}\:\left(\alpha+\mathrm{20}°\right)}=\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{20}°} \\ $$$$\mathrm{sin}\:\left(\alpha+\mathrm{20}°\right)=\frac{\mathrm{1}}{\mathrm{2}} \\…

Question-185596

Question Number 185596 by Rupesh123 last updated on 24/Jan/23 Commented by mr W last updated on 25/Jan/23 $${this}\:{is}\:{a}\:{star}\:{polygon}\:\left\{\mathrm{10}/\mathrm{3}\right\}\:\left(={decagram}\right) \\ $$$${sum}\:{red}\:{angles}\:\mathrm{720}° \\ $$$$ \\ $$$${generallly}\:{for}\:{star}\:{polygon}\:\left\{{p}/{q}\right\}: \\…

Question-185424

Question Number 185424 by ajfour last updated on 21/Jan/23 Commented by Frix last updated on 21/Jan/23 $$\mathrm{Impossible}. \\ $$$$\mathrm{tan}\:\theta\:=\frac{\left(\mathrm{2}\left({x}−\mathrm{1}\right)+\sqrt{{x}+\mathrm{2}}\right)\sqrt{{x}}}{\mathrm{4}{x}−\mathrm{1}} \\ $$ Commented by MJS_new last…