Answer: OPTION D. ![130\°](https://tex.z-dn.net/?f=130%5C%C2%B0)
Step-by-step explanation:
The missing figure is attached.
As you can observe in the figure AC and BD intersect each other at the point O. Then, you can identify that:
![\angle AOB =\angle COD\\\\\angle AOD =\angle BOC](https://tex.z-dn.net/?f=%5Cangle%20AOB%20%3D%5Cangle%20COD%5C%5C%5C%5C%5Cangle%20AOD%20%3D%5Cangle%20BOC)
Subsitute values:
![\angle AOB =\angle COD\\\\3x - 70=x + 10](https://tex.z-dn.net/?f=%5Cangle%20AOB%20%3D%5Cangle%20COD%5C%5C%5C%5C3x%20-%2070%3Dx%20%2B%2010)
Solve for "x":
![3x-x=70 + 10\\\\2x=80\\\\x=40](https://tex.z-dn.net/?f=3x-x%3D70%20%2B%2010%5C%5C%5C%5C2x%3D80%5C%5C%5C%5Cx%3D40)
Therefore:
![\angle AOB =arc\ AB=3(40) - 70=50\°\\\\\angle COD=arc\ CD=40 + 10 =50\°](https://tex.z-dn.net/?f=%5Cangle%20AOB%20%3Darc%5C%20AB%3D3%2840%29%20-%2070%3D50%5C%C2%B0%5C%5C%5C%5C%5Cangle%20COD%3Darc%5C%20CD%3D40%20%2B%2010%20%3D50%5C%C2%B0)
They are 360 degrees in a circle. Then:
![arc\ AB+arc\ CD+arc\ BC+arc\ AD=360\°](https://tex.z-dn.net/?f=arc%5C%20AB%2Barc%5C%20CD%2Barc%5C%20BC%2Barc%5C%20AD%3D360%5C%C2%B0)
Substituting values and solving for arc BC, you get:
![50\°+50\°+arc\ BC+arc\ BC=360\°\\\\arc\ BC=\frac{260\°}{2}\\\\arc\ BC=130\°](https://tex.z-dn.net/?f=50%5C%C2%B0%2B50%5C%C2%B0%2Barc%5C%20BC%2Barc%5C%20BC%3D360%5C%C2%B0%5C%5C%5C%5Carc%5C%20BC%3D%5Cfrac%7B260%5C%C2%B0%7D%7B2%7D%5C%5C%5C%5Carc%5C%20BC%3D130%5C%C2%B0)
Answer:
Workup in photo below.
Step-by-step explanation:
Good luck.
Answer:
-3,0,1,2,3
Step-by-step explanation:
Solution
To find Which two numbers on the number line has an
absolute value of 3
Absolute value means " how far a number is from
zero " .
"3" is 3 away from zero .
and " -3 " is also 3 away from zero .
i.e
| 0 - 3 | = 3
| 3 - 0 | = 3
So , the absolute value of "3 " is 3
similarly , absolute value of "3 " is 3 .
Hence , the two numbers are -3 and 3