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Afla termenul cunoscut :

a) X supra 4=3 supra 2
b)9 supra X=3 supra 5
c)7 supra 8=X supra 16
d)X supra 15=4 supra 5
e)4 supra 11=8 supra X


Răspuns :

a)[tex]\frac{x}{4} = \frac{6}{4} =)x=6[/tex]
b)[tex] \frac{9}{x} = \frac{9}{15} =) x=15[/tex]
c)[tex] \frac{14}{16} = \frac{x}{16} =)x=14[/tex]
d)[tex] \frac{x}{15} = \frac{12}{15} =) x=12[/tex]
e)[tex] \frac{8}{22} = \frac{8}{x} =)x=22[/tex]
[tex]\displaystyle a). \frac{x}{4} = \frac{3}{2} \Rightarrow 2x=4 \cdot 3 \Rightarrow 2x=12 \Rightarrow x= \frac{12}{2} \Rightarrow x=6 \\ \\ b). \frac{9}{x} = \frac{3}{5} \Rightarrow 9 \cdot 5=3x \Rightarrow 45=3x \Rightarrow x= \frac{45}{3} \Rightarrow x=15 \\ \\ c). \frac{7}{8} = \frac{x}{16} \Rightarrow 7 \cdot 16=8x \Rightarrow 112=8x \Rightarrow x= \frac{112}{8} \Rightarrow x=14 \\ \\ d). \frac{x}{15} = \frac{4}{5} \Rightarrow 5x=15 \cdot 4 \Rightarrow 5x=60 \Rightarrow x= \frac{60}{5} \Rightarrow x=12[/tex]

[tex]\displaystyle e). \frac{4}{11} = \frac{8}{x} \Rightarrow 4x=11 \cdot 8 \Rightarrow 4x=88 \Rightarrow x= \frac{88}{4} \Rightarrow x=22[/tex]