Applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
<h3>What is the Tangent Theorem?</h3>
The tangent theorem states that if a line is tangent to a circle, the point at which the radius is drawn to the point of tangency is a right angle.
Thus, consider triangle AKO as a right triangle.
Therefore,
- angle A = reference angle
- Ok = 5 (opposite)
- AO = 15 (hypotenuse)
Using the trigonometry ratio, SOH, we have:
sin A = opp/hyp
sin A = 5/15
sin A = 0.3333
A = 19.5°
Therefore, applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
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the answer is 8,400. Hope this helped
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hope this helps you out :)
For perpendicular lines, m2 = -1/m1 = -1/(-2/3) = 3/2 [m1 = -2/3]
Required equation is y + 2 = 3/2(x + 2) => y + 2 = 3/2 x + 3 => y = 3/2 x + 1