In the circle below, if AD is a diameter, and the arc BD = 18x - 2, and arc DC = 15x + 25, find x.

Answer:
[tex]D[/tex]Explanation:
Here, we want to find the value of x
For us to get the value of x, we have it that:
[tex]BD\text{ = DC}[/tex]The above is because, if a diameter is perpendicular to a chord, then it bisects the chord
Since AD is perpendicular to BC, then it bisects BC
Thus:
[tex]\begin{gathered} 18x-2\text{ = 15x + 25} \\ 18x-15x\text{ = 25 + 2} \\ 3x\text{ = 27} \\ x\text{ = }\frac{27}{3} \\ x\text{ = 9} \end{gathered}[/tex]