abigailbreslin4795 abigailbreslin4795
  • 13-03-2018
  • Mathematics
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Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,

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abscisa15
abscisa15 abscisa15
  • 13-03-2018

a, b, c, d - măsurile unghiurilor ⇒ a+b+c+d= 360°

[tex]\it \{a,b, c, d\}\ d.p. \{2,3, 6, 7\} \Rightarrow \dfrac{a}{2}= \dfrac{b}{3}= \dfrac{c}{6} =\dfrac{d}{7}= \dfrac{a+b+c+d}{2+3+6+7} = \\ \\ \\ = \dfrac{360^0}{18} =20^0[/tex]

[tex]\it \dfrac{a}{2} =20^0 \Rightarrow a=20^0\cdot2 =40^0 \\ \\ \dfrac{b}{3} =20^0 \Rightarrow b=20^0\cdot3 =60^0 \\ \\ \dfrac{c}{6} =20^0 \Rightarrow c=20^0\cdot6 =120^0 \\ \\ \dfrac{d}{7} =20^0 \Rightarrow d=20^0\cdot7 =140^0[/tex]


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