Answer:
Reason SAS postulate
Step-by-step explanation:
The two triangles must be congruent.
Reason: SAS postulate
Answer:
The value of the x is 53.5 or x=53.5
Step-by-step explanation:
Given data in the question:-
![(x+7)2=121](https://tex.z-dn.net/?f=%28x%2B7%292%3D121)
We have to find the value of x.
Solution:-
![(x+7)2=121\\=>2x+14=121\\=>2x=121-14\\=>2x=107\\=>x=107/2\\=>x=53.5\\](https://tex.z-dn.net/?f=%28x%2B7%292%3D121%5C%5C%3D%3E2x%2B14%3D121%5C%5C%3D%3E2x%3D121-14%5C%5C%3D%3E2x%3D107%5C%5C%3D%3Ex%3D107%2F2%5C%5C%3D%3Ex%3D53.5%5C%5C)
Hence the answer is 53.5
Answer:
30
Step-by-step explanation:
10b/a
b = 6
a =2
10(6)/2
10x6 / 2 = 60/2
= 30
Answer:
A. 0.009899
B. 0.005624
Step-by-step explanation:
Data:
Let the probability that an item is defective = ![\frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D)
The probability that the item is not defective = ![\frac{99}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B99%7D%7B100%7D)
The probability that the fifth item is defective = ![\frac{1}{100}* \frac{98}{99}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%2A%20%5Cfrac%7B98%7D%7B99%7D)
= 0.009899
Probability that one in 5 items is defective = 0.005624
Our function is:
![f(x)=12^3+ax-20](https://tex.z-dn.net/?f=f%28x%29%3D12%5E3%2Bax-20)
Now, if
is a factor of
then
must satisfy the equation:
So, ![f(\frac{-4}{3} )=0](https://tex.z-dn.net/?f=f%28%5Cfrac%7B-4%7D%7B3%7D%20%29%3D0)
Putting ![x=\frac{-4}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-4%7D%7B3%7D)
We get,
![f(\frac{-4}{3} )=12^3+a(\frac{-4}{3} )-20=0](https://tex.z-dn.net/?f=f%28%5Cfrac%7B-4%7D%7B3%7D%20%29%3D12%5E3%2Ba%28%5Cfrac%7B-4%7D%7B3%7D%20%29-20%3D0)
![12^3+\frac{-4}{3} a-20=0](https://tex.z-dn.net/?f=12%5E3%2B%5Cfrac%7B-4%7D%7B3%7D%20a-20%3D0)
![\frac{-4}{3} a=20-12^3=20-1708](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D%20a%3D20-12%5E3%3D20-1708)
![a=-1708 \times \frac{-3}{4} =1281](https://tex.z-dn.net/?f=a%3D-1708%20%5Ctimes%20%5Cfrac%7B-3%7D%7B4%7D%20%3D1281)
So, the value of 'a' for the given expression is 1281.