Question

Solve for x

Solve for x give that the segments ST and SU are both
tangent to the circle.
T
7X-3
Submit
5x+1
U

Answer 1

2

Explanation:

• ST and SU are tangents to the
  `\odot L` from the point S to the points T and U respectively.
• Measures of the tangents drawn from external point to a circle are equal.
• 
  `\therefore ST = SU`
• 
  `\therefore 7x - 3= 5x+1`
• 
  `\therefore 7x - 5x=3+1`
• 
  `\therefore 2x=4`
• 
  `\therefore x=(4)/(2)`
• 
  `\therefore x={2}`