Question

Hello need a hand on this Best Solve for x.Question 3 options:1) 52) 63) 34) 4

Answer 1

The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four- line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

`a* b=c* d`
`\begin{gathered} (4x+2)8=9(4x) \\ \end{gathered}`

Open the bracket

`\begin{gathered} (4x+2)8=9(4x) \\ 32x+16=36x \\ \text{collect the like terms} \\ 16=36x-32x \\ 16=4x \\ \text{Divide both sides by 4} \\ (16)/(4)=(4x)/(4) \\ \\ x=4 \end{gathered}`