234k views
1 vote
In the circle below, if AD is a diameter, and the arc BD = 18x - 2, and arc DC = 15x + 25, find x.

In the circle below, if AD is a diameter, and the arc BD = 18x - 2, and arc DC = 15x-example-1

1 Answer

3 votes

Answer:


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}

User Sergiusz
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories