Respuesta :

Given:

There are given that arc length is 192 degrees and angle G is:

[tex]31x+3[/tex]

Explanation:

To find the value of x, we need to use the circle properties:

So,

From the circle properties:

[tex]31x+3=192^{\circ}[/tex]

Then,

Subtract 3 from both sides of the equation:

So,

[tex]\begin{gathered} 31x+3=192^ \\ 31x+3-3=192^-3 \\ 31x=189 \end{gathered}[/tex]

Now,

Divide by 31 on both sides of the above equation:

So,

[tex]\begin{gathered} 31x=189 \\ x=\frac{189}{31} \\ x=6.096 \end{gathered}[/tex]

Final answer:

Hence, the value of x is shown below:

[tex]x=6.096[/tex]

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