Answer:
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