Question

In the circle below, find the value of x.1512- 1x =Blank 1:

Answer 1

In the circle. If two chords intersect at a point inside the circle, then the product of their parts are equal

By using this fact, then

`12* x=15*(x-1)`

Let us solve to find x

`\begin{gathered} 12x=15(x)-15(1) \\ 12x=15x-15 \end{gathered}`

Subtract 15 x from both sides

`\begin{gathered} 12x-15x=15x-15x-15 \\ -3x=-15 \end{gathered}`

Divide both sides by -3

`\begin{gathered} (-3x)/(-3)=(-15)/(-3) \\ x=5 \end{gathered}`

The value of x is 5