Question

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

Answer 1

`D`

Step-by-step explanation:

Here, we want to find the value of x

For us to get the value of x, we have it that:

`BD\text{ = DC}`

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:

`\begin{gathered} 18x-2\text{ = 15x + 25} \\ 18x-15x\text{ = 25 + 2} \\ 3x\text{ = 27} \\ x\text{ = }(27)/(3) \\ x\text{ = 9} \end{gathered}`