Answer:
54
Step-by-step explanation:
54 + 53 = 107
The formula to calculate the missing arc is,
![m\angle T=\frac{1}{2}\times m\angle arcTS](https://tex.z-dn.net/?f=m%5Cangle%20T%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20m%5Cangle%20arcTS)
where,
![m\angle arcTS=146^0](https://tex.z-dn.net/?f=m%5Cangle%20arcTS%3D146%5E0)
Therefore,
![\begin{gathered} m\angle T=\frac{1}{2}\times146^0=73^0 \\ \therefore m\angle T=73^0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%5Cangle%20T%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes146%5E0%3D73%5E0%20%5C%5C%20%5Ctherefore%20m%5Cangle%20T%3D73%5E0%20%5Cend%7Bgathered%7D)
Hence, the answer is
Answer: ![x=13, y=132](https://tex.z-dn.net/?f=x%3D13%2C%20y%3D132)
Step-by-step explanation:
Using the same-side interior angles theorem,
.
Using the alternate interior angles theorem, ![5x-17=48 \implies x=13](https://tex.z-dn.net/?f=5x-17%3D48%20%5Cimplies%20x%3D13)
The difference is 12
first we should find out how much is the sum of length and width :
![18 \div2 = 9](https://tex.z-dn.net/?f=18%20%5Cdiv2%20%3D%209)
so we have to find 2 numbers with sum of 9
and least possible area.
the numbers will be 1,8 and the area is
![1 \times 8 = 8](https://tex.z-dn.net/?f=1%20%5Ctimes%208%20%3D%208)
now let's find 2 numbers with sum of 9 and greatest possible area.
they are 4 and 5. the area is:
![4 \times 5 = 20](https://tex.z-dn.net/?f=4%20%5Ctimes%205%20%3D%2020)
the final answer will be the difference between these two areas
![20 - 8 = 12](https://tex.z-dn.net/?f=20%20-%208%20%3D%2012)
good luck
Answer:
the probability would be a 1/3 or a 1/6 chance i think