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Step-by-step explanation:

Remark

The relationship between the 2 arcs created by the 2 tangents is

<V = 1/2 (Farthest away arc from V - closest arc to V)

Givens

<V = 5x + 17

Farthest Arc = 37x + 5

Nearest Arc = 23x - 5

Substitution and Solution

5x + 17 = 1/2 (37x + 5 - (23x -5) )          Substitute and remove brackets

5x + 17 = 1/2 (37x + 5 - 23x + 5)            Combine like terms

5x + 17 = 1/2 (14x + 10)                           Multiply through by 1/2

5x + 17 = 7x + 5                                     Subtract 5 from both sides

5x + 17 - 5 = 7x

12 = 7x - 5x

12 = 2x                                                   Divide by 2

2x/2 = 12/2

x = 6                                        

answer: about 22.67

step-by-step explanation:

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step-by-step explanation: