Question

Aflati masurile unghiurilor unui patrulater convex, stiind ca acestea sunt invers proportionale cu cu numerele 0,(3), 0,25, 01(6), 0,5 .

Answer 1

a+b+c+d=360
0,(3)=3/9=1/3
0,25=25/100=1/4
0,1(6)=(16-1)/90=15/90=3/18=1/6
0,5=5/10=1/2
{a,b,c,d}i.p{1/3,1/4,1/6,1/2}
a/3=b/4=c/6=d/2=k
a/3=k⇒a=3k
b/4=k⇒b=4k
c/6=k⇒c=6k
d/2=k⇒d=2k
3k+4k+6k+2k=360
15k=360
k=360/15
k=24
a=3k=3x24=72
b=4k=4x24=96
c=6k=6x24=144
c=2k=2x24=48
72+96+144+48=360