Answer:
[tex]x=9[/tex]
Step-by-step explanation:
[tex]Since~ the ~given ~polygons~ are~ similar~ the ~corresponding ~sides~ are~ in~ the~ same \\proportion.[/tex]
This implies that;
[tex]\frac{x-1}{6} =\frac{16}{12}[/tex]
We then multiply both sides by 6 to obtain;
[tex]x-1=\frac{16}{2}\times6[/tex]
[tex]x-1=\frac{16}{2}[/tex]
[tex]x-1=8[/tex]
Now, group similar terms to get;
[tex]x=8+1[/tex]
[tex]x=9[/tex]
Thus, the value of x is = 9.
