Respuesta :

Ratio remains same

[tex]\\ \sf\Rrightarrow \dfrac{x}{16}=\dfrac{9}{12}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{x}{16}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\Rrightarrow 4x=48[/tex]

[tex]\\ \sf\Rrightarrow x=12[/tex]

#2

[tex]\\ \sf\Rrightarrow \dfrac{4}{10}=\dfrac{6}{x}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{2}{5}=\dfrac{6}{x}[/tex]

[tex]\\ \sf\Rrightarrow 2x=30[/tex]

[tex]\\ \sf\Rrightarrow x=15[/tex]

Question #1 Answer:

x=12

Explanation:

[tex]\frac{x}{16}=\frac{9}{12}[/tex]

[tex]x=12[/tex]

Question #2 Answer:

See the parsing

Explanation:

[tex](x+6)^2={10}^2+x^2[/tex]

[tex]x^2+12x+36=100+\lambda^2[/tex]

[tex]12x=64[/tex]

[tex]x=\frac{16}{3}[/tex]

{[tex]theorem[/tex]

I hope this helps you

:)