Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm

Answer:
no
Step-by-step explanation:
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Answer:
C. 
Step-by-step explanation:
The radius of the circle is 24 units, then the area of the whole circle is

The shaded circle is limited by 45° angle, so its area is
of the area of the whole circle.
The area of the shaded circle is
Answer: N = 5
Step-by-step explanation:
M = 3N + 4R
M = 43
R = 7
Replacing by the values
43 = 3N + 4*7
43 = 3N + 28
43-28 = 3N
3N = 15
N = 15/3
N = 5
Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3