Answer:
A, C, F
Step-by-step explanation:
Definition: The circumcenter is the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).
Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.
Option C is true, because HD and HE are the radii of the circumcircle.
Option D is false. This option is true for inscribed circle, not for circumcircle.
Option E is false. This option is true for inscribed circle, not for circumcircle.
Option F is true, because both these angles are right angles.
1)
Break up the irregular shape into two rectangles
12 * 4.5 = 54
2 * 5 = 10
54 + 10 = 64 cm^2
2)
Break up the irregular shape into a triangle and rectangle
24 * 8 = 192
To get the base of the triangle:
24 - 6 - 6 = 12
To get the height of the triangle:
16 - 8 = 8
1/2(12 * 8) = 48
192 + 48 = 240 yd^2
3)
Separate into triangle and semi circle
To get the base: 8 * 2 = 16
1/2(15 * 16) = 120
(pi (8)^2)/2 = 100.5
120 + 100.5 = 220.5 cm^2
4)
Separate half circle from rectangle
(pi (7.5)^2)/2 = 88.4
7 * 15 = 105
88.4 + 105 = 193.4 m^2
5)
Separate triangle from trapezoid
2.8 * 7 = 19.6
(7+9/2)(3.6) = 28.8
19.6 + 28.8 = 48.4 ft^2
6)
Separate semi circle from trapezoid
(pi(3)^2)/2 = 6.3
(6+10/2)(8) = 64
6.3 + 64 = 70.3 yd^2
R - 3 < 5
r < 5 + 3
r < 8 Answer
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The distance between both points is 11
