Question

Solve for x. Assume that any line that appears to be a tangent is a tangent to the circle.

Answer 1

To solve the problem, we need to apply the rule:

When two tangents intersect at a point outside the circle, they are congruent

Hence, we can write:

$6x\text{ -5 = 4 + 5x}$

Solving for x:

$\begin{gathered} Collect\text{ like terms} \\ 6x\text{ - 5x = 4 + 5} \\ x\text{ = 9} \end{gathered}$

Answer:

x = 9