Given two tangent lines determine the measure of x

The video tutorial explains the concept of tangent lines, highlighting that tangent lines from the same point are congruent. The teacher demonstrates solving an equation involving tangent lines, emphasizing the properties and congruence of these lines. The session concludes with clarifications and corrections to ensure understanding.

What is a key characteristic of tangent lines when they originate from the same point?

• They are parallel to each other.

• They intersect the circle at multiple points.

• They form a right angle with the circle.

• They are equal in measurement.

Why are two tangent lines from the same point considered congruent?

• Because they only touch the circle at one point.

• Because they touch the circle at the same angle.

• Because they are perpendicular to the radius.

• Because they are parallel.

What is the first step in solving the equation 3X + 8 = 96?

• Add 8 to both sides.

• Subtract 8 from both sides.

• Multiply both sides by 3.

• Divide both sides by 3.

After subtracting 8 from both sides of the equation 3X + 8 = 96, what is the next step?

• Subtract 3 from both sides.

• Divide both sides by 3.

• Multiply both sides by 3.

• Add 8 to both sides.

What is the final value of X in the equation 3X = 18?

• X = 12

• X = 6

• X = 3

• X = 9