[tex]\huge\boxed{20}[/tex]
We know that [tex]\overline{YV}[/tex] and [tex]\overline{VW}[/tex] are equal, and we're looking for their sum. First, we'll need to find the value of [tex]b[/tex].
Set the expressions equal to each other:
[tex]5b=b+8[/tex]
Subtract [tex]b[/tex] from both sides:
[tex]4b=8[/tex]
Divide everything by [tex]4[/tex]:
[tex]b=2[/tex]
Now that we have the value of [tex]b[/tex], we can substitute it into the sum of the two expressions to get our final answer.
[tex]5b+(b+8) \\ 5b+b+8 \\ 6b+8[/tex]
Substitute:
[tex]6(2)+8[/tex]
Simplify:
[tex]12+8 \\ \boxed{20}[/tex]
