Answer:
The value of x in the given figure is,
Step-by-step explanation:
Complementary angle states that the two angles sum up to 90 degree.
From the given figure
and
are complementary angles.
by definition of complementary angles;
Subtract from both sides we get;
Simplify:
therefore, the value of x in the given figure is,
Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r = = 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25