Question

sa se afle masurile unghiurilor unui patrulater stiind ca sunt direct proportionale cu nr. 2,3,4,9
va rog ajutatima acum urgent

Answer 1

Notez cu a, b, c, d-măsurile celor 4 unghiuri.
a+b+c+d=360°
{a, b, c, d} d.p {2, 3, 4, 9}=>
a/2=b/3=c/4=d/9
a/2=b/3=>a=2b/3
c/4=b/3=>c=4b/3
d/9=b/3=>d=9b/3
2b/3+b+4b/3+9b/3=360°
15b/3+b=360°
5b+b=360°
6b=360°
b=360°/6
b=60°=>a=2*60°/3=40°
c=4*60°/3=80°
d=9*60°/3=180°

sau

{a, b, c, d} d.p {2, 3, 4, 9}=>
a/2=b/3=c/4=d/9=k
a=2k
b=3k
c=4k
d=9k
2k+3k+4k+9k=360°
18k=360°
k=360°/18
k=20°
=>a=40°, b=60°, c=80°, d=180°