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Ioonutz10
a fost răspuns

Aflati masurile unghiurilor unui patrat comvex stiind ca sunt:
a) direct proportionale cu 2,5;2;1,5;3
b)invers proportionale cu 2/3;1;2;3

Răspuns :

Renatemambouko
a=2,5k       k=constanta
b=2k
c=1,5k
d=3k
a+b+c+d=360⁰
2,5k+2k+1,5k+3k=360
9k=360⁰
k=40⁰
a=2,5k=2,5*40⁰=100⁰
b=2k=2*40⁰=80⁰
c=1,5k=1,5*40⁰=60⁰
d=3k=3*40⁰=120⁰


a=3k/2       k=constanta
b=k
c=k/2
d=k/3
a+b+c+d=360⁰
3k/2+k+k/2+k/3=360⁰
9k+6k+3k+2k/3=360⁰
20k=2160⁰
k=108⁰
a=3k/2=3*108⁰/3=162⁰
b=k=1*108⁰=108⁰
c=k/2=108⁰/2=54⁰
d=k/3=108⁰/3=36⁰

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