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2 answers:
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Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is:
Now, comparing it with the general equation of circle:
we get the central coordinates (h,k) = (3,-2)
So, the slope of the line joining center and (8, -2) =
Since the slope of line = 0, line is parallel to x axis.
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line =
Now, by point slope formula: the equation of the tangent is
(y-y0) = m (x-x0)
or,
or x =8 is the equation of the tangent.
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128
AB // CD and AC is transversal.
{Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101
