Find the value of x in the following diagram.

[tex]x = 3.5 \\ solution \\ the \: chord \: of \: same \: length \: has \: same \\ distance \: from \: center \\ so \\ 3x + 1 = x + 8 \\ or \: 3x - x = 8 - 1 \\ or \: 2x = 7 \\ or \: x = \frac{7}{2} \\ x = 3.5 \\ hope \: it \: helps[/tex]