Answer:
56
Step-by-step explanation:
The thing to realize is that the total of both angles that have x in them is that they add to 145. That's given.
<LKM + <MKN = 145
2x + 10 + 4x - 3 = 145 Combine like terms
6x + 7 = 145 Subtract 7 from both sides
6x = 138 Divide by 6
x = 138/6
x = 23
That's not the answer.
2x + 10 = <LKM
2*23 + 10 = <LKM
46 + 10 = <LKM
56 = <LKM
For this case we have that by definition, the area of a circle is given by:
![A = \pi * r ^ 2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%2A%20r%20%5E%202)
Where:
r: It is the radius of the circle.
So, we have that the area of the shaded region is given by:
![\pi * (2x) ^ 2- \pi * 6 ^ 2 = 288 \pi\\4x ^ 2-36 = 288\\4x ^ 2 = 288 + 36\\4x ^ 2 = 324](https://tex.z-dn.net/?f=%5Cpi%20%2A%20%282x%29%20%5E%202-%20%5Cpi%20%2A%206%20%5E%202%20%3D%20288%20%5Cpi%5C%5C4x%20%5E%202-36%20%3D%20288%5C%5C4x%20%5E%202%20%3D%20288%20%2B%2036%5C%5C4x%20%5E%202%20%3D%20324)
We divide between 4 on both sides of the equation:
![x ^ 2 = 81](https://tex.z-dn.net/?f=x%20%5E%202%20%3D%2081)
We apply root to both sides:
![x = \pm \sqrt {81}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%20%5Csqrt%20%7B81%7D)
We choose the positive value of the root:
![x = \sqrt {81}\\x = 9](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%7B81%7D%5C%5Cx%20%3D%209)
Finally, the value of "x" is 9
Answer:
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Answer:
1. D
2.B
3.A
4.C
Step-by-step explanation:
You find where the line meets right on the “corner of the boxes” then count to the side then down or up to find the slope
Answer:
x:-2
y:2
Step-by-step explanation: