Respuesta :

If AB = BC, then we can express the following

[tex]50-2x=8x+5[/tex]

Then, we solve for x

[tex]\begin{gathered} 50-5=8x+2x \\ 45=10x \\ x=\frac{45}{10} \\ x=4.5 \end{gathered}[/tex]

Hence, x is equal to 4.5.

Now, we find AB length

[tex]AB=50-2x=50-2\cdot4.5=50-9=41[/tex]

Hence, the length of AB is 41 units.