Answer:
<em>The measure of angle A is 73°</em>
Step-by-step explanation:
<u>Isosceles Triangles</u>
An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.
The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.
The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:
Thus:
The measure of angle A is 73°
Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting , we get
Therefore, the standard form of the given circle is .