\(\left(x-\frac{1}{2}\right).1+5x=0\)

\(\Rightarrow x-\frac{1}{2}+5x=0\)

\(\Rightarrow x+5x=\frac{1}{2}\)

\(\Rightarrow6x=\frac{1}{2}\)

\(\Rightarrow x=\frac{1}{12}\)

\(\frac{37-x}{x+13}=\frac{3}{7}\)

=> 3 . ( x + 13 ) = 7 . ( 37 - x )

=> 3x + 39 = 259 - 7x

=> 10x = 220

=> x = 22

a, vì m vuông góc AB 
        n vuông góc AB
=> m //n
b do m//n
=> góc C= 90

1=2 mũ 0

1=2^x

<=>2⁰=2^x

<=>x=0

c=-1/5-5/4^2:5/8
c=-1/5-25/16:5/8
c=-1/5-5/2
c=-27/10

\(\left(\frac{3}{4}\right)^{2.x}:\left(\frac{2}{5}\right)^{10}=\left(\frac{15}{8}\right)^{10}\)

\(\left(\frac{3}{4}\right)^{2.x}=\left(\frac{15}{8}\right)^{10}.\left(\frac{2}{5}\right)^{10}\)

\(\left(\frac{3}{4}\right)^{2.x}=\left(\frac{15}{8}.\frac{2}{5}\right)^{10}\)

\(\left(\frac{3}{4}\right)^{2.x}=\left(\frac{3}{4}\right)^{10}\)

\(\Rightarrow2.x=10\Rightarrow x=5\)

\(\left(\frac{3}{4}\right)^{2x}\div\left(\frac{2}{5}\right)^{10}=\left(\frac{15}{8}\right)^{10}\)

\(\left(\frac{3}{4}\right)^{2x}=\left(\frac{15}{8}\right)^{10}\times\left(\frac{2}{5}\right)^{10}\)

\(\left(\frac{3}{4}\right)^{2x}=\left(\frac{15}{8}\times\frac{2}{5}\right)^{10}\)

\(\left(\frac{3}{4}\right)^{2x}=\left(\frac{3}{4}\right)^{10}\)

\(\Rightarrow\)\(2x=10\)

\(\Rightarrow\)\(x=5\)