Question Number 218475 by lmcp1203 last updated on 10/Apr/25 Answered by Nicholas666 last updated on 10/Apr/25 $$\bullet\angle{CBD}\:+\:\angle{BDC}\:+\:\angle{BCD}\:=\mathrm{180}° \\ $$$$\bullet\boldsymbol{{x}}+\mathrm{140}°+\mathrm{30}°=\mathrm{180}° \\ $$$$\bullet\boldsymbol{{x}}+\mathrm{170}°=\mathrm{180}° \\ $$$$\bullet\boldsymbol{{x}}=\mathrm{180}°−\mathrm{170}° \\ $$$$\bullet\boldsymbol{{x}}=\mathrm{10}°…
Question Number 218456 by Spillover last updated on 10/Apr/25 Answered by vnm last updated on 10/Apr/25 $$\mathrm{d}\:\mathrm{is}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{the}\:\mathrm{centers} \\ $$$$\varphi\:\mathrm{is}\:\mathscr{L}\cancel{\underbrace{ }} \\ $$ Commented by Spillover…
Question Number 218393 by Nicholas666 last updated on 09/Apr/25 $$ \\ $$$$\:{let}\:{ABC}\:{be}\:{a}\:{triangle}\:{with}\:{incenter}\:{I}. \\ $$$$\:{prove}\:{that}\:{Ia}\:.\:{Ib}\:.\:{Ic}\:\:\leqslant\:\frac{{abc}}{\mathrm{8}}\:\: \\ $$$$ \\ $$ Answered by mr W last updated on…
Question Number 218410 by Spillover last updated on 09/Apr/25 Answered by Nicholas666 last updated on 09/Apr/25 $$\:{given};{AB},{CD}\:{tangents}\:{to}\:{circle}\:{O}: \\ $$$${M}\:{midpoint}\:{of}\:{BC};\:{AD}\mid\mid{BC};\:{BD}={x},{AB}={y},{CD}={z} \\ $$$${prove}\:{x}^{\mathrm{2}} ={y}.{z} \\ $$$${solution} \\…
Question Number 218411 by Spillover last updated on 09/Apr/25 Answered by mr W last updated on 09/Apr/25 Commented by mr W last updated on 09/Apr/25…
Question Number 218385 by Spillover last updated on 08/Apr/25 Answered by Nicholas666 last updated on 09/Apr/25 $${ratio}=\frac{\mathrm{3}.\mathrm{2}}{\mathrm{2}.\mathrm{5}}=\mathrm{6}/\mathrm{10}=\mathrm{3}/\mathrm{5}=\mathrm{0}.\mathrm{6} \\ $$ Answered by Spillover last updated on…
Question Number 218267 by lmcp1203 last updated on 04/Apr/25 Commented by lmcp1203 last updated on 04/Apr/25 $${thanks} \\ $$ Answered by vnm last updated on…
Question Number 218257 by cherokeesay last updated on 03/Apr/25 Commented by cherokeesay last updated on 03/Apr/25 $$\mathrm{the}\:\mathrm{4}\:\mathrm{points}\:\mathrm{are}\:\mathrm{tangent} \\ $$ Commented by Nicholas666 last updated on…
Question Number 218236 by mr W last updated on 02/Apr/25 Commented by mr W last updated on 02/Apr/25 $${why}\:{is}\:{this}\:{question}\:{deleted}? \\ $$ Commented by mr W…
Question Number 218021 by mnjuly1970 last updated on 26/Mar/25 Answered by mr W last updated on 27/Mar/25 Commented by mr W last updated on 27/Mar/25…