Answer:
<em>(D). (8, - 5) </em>
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( , )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
<em>(D). (8, - 5)</em>
Since this is a 45-45-90 triangle, n = 9 and m = x
Two angles are complementary when they add up to 90° ⇒
∠A + ∠B = 90°
3x + 5 + 2x - 15 = 90
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20
<span>m∠A = 3x + 5 = 3*20 + 5 = 60 + 5 = 65</span>°<span>
</span><span>m∠B = 2x - 15 = 2*20 - 15 = 40 - 15 = 25</span>°<span>
</span>
Answer:
56
Step-by-step explanation:
I used a calculator I'm sorry