How to solve for x when given two tangent lines to a circle

The video tutorial explains the concept of tangent lines and their properties, specifically focusing on congruence. It demonstrates how to set up and solve an equation derived from the congruence of two tangent lines. The process involves rearranging terms to isolate the variable X and solve the equation, providing a clear example of applying algebraic techniques to geometric problems.

What is a key property of two tangent lines?

• They are perpendicular.

• They are parallel.

• They are congruent.

• They intersect at the center.

What equation is set up using the property of congruent tangent lines?

• 5X - 9 = X - 7

• 5X = X + 7

• 5X - 9 = X + 7

• 5X + 9 = X - 7

What is the first step in solving the equation 5X - 9 = X + 7?

• Divide by 4.

• Subtract X from both sides.

• Multiply by 4.

• Add 9 to both sides.

After simplifying the equation to 4X - 9 = 7, what is the next step?

• Divide by 4.

• Add 9 to both sides.

• Subtract 9 from both sides.

• Multiply by 4.

What is the final value of X after solving the equation?

• X = 2

• X = 4

• X = 3

• X = 5