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Find the value of x that would ensure that

OM is tangent to the circle.

Given FM = 15, OM = 2x -2, FO = 17

Find the value of x that would ensure that

NY is tangent to the circle.

Given CN = 17, NY = 4x -20, CY = 15

Find the value of x that would ensure that

YS is tangent to the circle.

Given YS = x -6, DY = 5, DS = 4

Find the value of x that would ensure that

IY is tangent to the circle.

Given DI = x + 7, IY = 8, DY = 15