Question

1. Aflați x din figura alaturata
2.Daca la dublul unui numar natural n adunam sfertul lui obtinem un numar cu 36 mai mare decat numarul initial .Aflati nr n

Answer 1

$\displaystyle\bf\\1)\\\\ABCD~este~un~patrulater.\\\textbf{Suma unghiurilor unui patrulater este de }~360^o\\\\A+B+C+D=360^o\\\\3x-16+x+29+4x+21+x-18=360\\\\9x+50-34=360\\\\9x+16=360\\\\9x=360-16\\9x=344\\\\x=\frac{344}{9}\\\\x=38,\!(2)^o\\\\\frac{2}{9}\times60=13,\!(3)~minute\\\\ \frac{3}{9}\times60=\frac{1}{3}\times60=20~secunde\\\\\implies~\boxed{\bf x=38^o~13'~20''}\\\\\\2)\\\\2n+\frac{n}{4}=n+36~~~\Big|-n\\\\n+\frac{n}{4}=36 \\\\1,\!25n=36\\\\n=\frac{36}{1,25}\\\\n=28,8\notin N$