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Category: Geometry

ABCD-is-a-side-square-1-B-F-and-E-are-collinear-FDE-is-a-right-triangle-with-hypotenuse-1-and-the-DE-cathetus-is-worth-x-What-is-the-value-of-x-Solve-with-algebra-

Question Number 68601 by Maclaurin Stickker last updated on 14/Sep/19 $${ABCD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{side}\:\mathrm{square}\:\mathrm{1}.\: \\ $$$${B},\:{F}\:\mathrm{and}\:{E}\:\mathrm{are}\:\mathrm{collinear}. \\ $$$${FDE}\:\mathrm{is}\:\mathrm{a}\:\mathrm{right}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{hypotenuse}\:\mathrm{1} \\ $$$$\mathrm{and}\:\mathrm{the}\:{DE}\:\mathrm{cathetus}\:\mathrm{is}\:\mathrm{worth}\:\boldsymbol{{x}}.\: \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{{x}}? \\ $$$$\left(\mathrm{Solve}\:\mathrm{with}\:\mathrm{algebra}\right) \\ $$ Commented by…

Question-134118

Question Number 134118 by ClarkeMelodyWenkeh last updated on 27/Feb/21 Answered by EDWIN88 last updated on 27/Feb/21 $$\left(\mathrm{i}\right)\:\angle\mathrm{POS}\:=\:\mathrm{2}×\angle\:\mathrm{PTS}\:=\:\mathrm{116}° \\ $$$$\left(\mathrm{ii}\right)\:\angle\:\mathrm{PRS}\:=\:\mathrm{180}°−\angle\mathrm{PTS}\:=\:\mathrm{122}°\: \\ $$ Commented by otchereabdullai@gmail.com last…

Question-68503

Question Number 68503 by TawaTawa last updated on 12/Sep/19 Commented by Prithwish sen last updated on 12/Sep/19 $$\mathrm{2x}\frac{\pi\mathrm{6}^{\mathrm{2}} }{\mathrm{4}}\:−\mathrm{2}\left[\mathrm{36}\left(\frac{\pi}{\mathrm{3}}−\frac{\sqrt{\mathrm{3}}}{\mathrm{4}}\right)\right]=\mathrm{18}\left[\sqrt{\mathrm{3}}−\frac{\pi}{\mathrm{3}}\right]\:\backsim\:\mathrm{12}.\mathrm{33} \\ $$$$\boldsymbol{\mathrm{please}}\:\boldsymbol{\mathrm{check}}. \\ $$ Commented by…

My-question-is-about-the-analogical-axiams-of-the-foundation-geometry-in-mathematocs-As-it-Is-a-well-knowen-axum-in-geometry-starts-from-the-sefinition-of-a-point-which-gives-gives-the-path-analogi

Question Number 68493 by H1223 last updated on 11/Sep/19 $${My}\:{question}\:{is}\:{about}\:{the}\:{analogical} \\ $$$${axiams}\:{of}\:{the}\:{foundation}\:{geometry}\:{in} \\ $$$${mathematocs}. \\ $$$${As}\:{it}\:{Is}\:\:{a}\:{well}\:{knowen}\:{axum}\:{in}\:\:{geometry} \\ $$$${starts}\:{from}\:{the}\:{sefinition}\:{of}\:{a}\:{point}\:{which}\:{gives} \\ $$$${gives}\:{the}\:{path}\:{analogically}\:\:{to}\:{line},\:{plane},\:{and}\: \\ $$$${solids}. \\ $$$${Know}\:{my}\:{truoble}\:\:{comes}\:{at}\:{these} \\…

Question-68425

Question Number 68425 by mr W last updated on 10/Sep/19 Commented by Prithwish sen last updated on 10/Sep/19 $$\mathrm{AB}=\mathrm{2x}\:\:\mathrm{AC}=\mathrm{x} \\ $$$$\mathrm{3x}×\mathrm{100}×\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\:=\mathrm{2x}^{\mathrm{2}} ×\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\mathrm{2x}^{\mathrm{2}} −\mathrm{300x}=\mathrm{0}\:\Rightarrow\mathrm{x}=\mathrm{150}…

Prove-that-1-x-x-2-1-2x-3x-2-1-2-1-2-2-3x-3-4x-2-

Question Number 2795 by Rasheed Soomro last updated on 27/Nov/15 $${Prove}\:{that} \\ $$$$\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +…\right)\left(\mathrm{1}+\mathrm{2}{x}+\mathrm{3}{x}^{\mathrm{2}} +…\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{1}.\mathrm{2}+\mathrm{2}.\mathrm{3}{x}+\mathrm{3}.\mathrm{4}{x}^{\mathrm{2}} +…\right) \\ $$ Answered by prakash jain last…