Question

in patrulaterul convex ABCD, masurile unghiurilor A,B,C si D sunt in proportionalitate inversa cu numerele 0,(3); 0,2; 1/7 si 0,(1)

Va rog am nevoie urgent.

Answer 1

0,(3)=3/9 SIMPLIFICAM CU 3=1/3                  K-O CONSTANTA

0,2=2/10 SIMPLIF.CU 2=1/5

0,(1)=1/9

{A,B,C,D,}IP{1/3,1/5,1/7,1/9}

A/3=B/5=C/7=D/9=K

A/3=K⇒   A=3K

B/5=K⇒   B=5K

C/7=K⇒   C=7K

D/9=K⇒   D=9K

A+B+C+D=360 GRADE INLOCUIM IN RELATIE CU K

3K+5K+7K+9K=360

24K=360

K=360/24

K=15

A=3K=3·15=45 GRADE

B=5K=5·15=75 GRADE

C=7K·=7·15=105 GRADE

D=9K=9·15=135 GRADE

DECI

45+75+105+135=360