Answer:
x = 5 and x = 11
Step-by-step explanation:
The segment through the centre is a perpendicular bisector of the chord, thus
5x - 6 = 2x + 9 ( subtract 2x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
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Tangents to a circle from an external point are congruent, thus
4x - 1 = 3x + 10 ( subtract 3x from both sides )
x - 1 = 10 ( add 1 to both sides )
x = 11
