Question Number 214622 by Frangg last updated on 13/Dec/24
Answered by Rasheed.Sindhi last updated on 14/Dec/24
$$\underline{{If}\:{to}\:{determine}\:{x}:} \\ $$$$\bigtriangleup\mathrm{ABE}\:\sim\bigtriangleup\mathrm{DCE} \\ $$$$\frac{\mathrm{AB}}{\mathrm{DC}}=\frac{\mathrm{AE}}{\mathrm{DE}} \\ $$$$\frac{\mathrm{19}}{\mathrm{6}}=\frac{\mathrm{2x}+\mathrm{8}}{\mathrm{x}−\mathrm{2}} \\ $$$$\mathrm{19x}−\mathrm{38}=\mathrm{12x}+\mathrm{48} \\ $$$$\mathrm{7x}=\mathrm{10} \\ $$$$\mathrm{x}=\frac{\mathrm{86}}{\mathrm{7}}=\mathrm{12}\frac{\mathrm{2}}{\mathrm{7}} \\ $$