Which diagonal (IE or KT) is the line of symmetry for kite KITE below? Explain.
1 answer:
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Answer: Discriminant.
Step-by-step explanation:
1. The quadratic formula is:
2. And the discriminant is inside the square root:
2. Then, if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.
Given tangent, ZN, to the circle and the arc = 280°, we have that
the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°
<h3>Which method can be used to find ∠BZN?</h3>The given parameters are;
A tangent to the circle O = ZN
Required:
Angle ∠BZN
Solution;
Please find attached the drawing of the circle and tangent
From the drawing, we have;
∠BOZ = 360° - 280° = 80°
ΔBOZ is an isosceles triangle, which gives;
∠BZO = ∠ZBO
∠OZN = 90° (by definition of a tangent)
∠OZN = ∠BZO + ∠BZN
∠BZN = ∠OZN - ∠BZO
Which gives;
∠BZN = 90° - 40° = 50°
- The measure of angle ∠BZN =<u> 50°</u>
Learn more about tangents to a circle here:
