Answer:
Option A
Step-by-step explanation:
If the quadrilateral ABCD is dilated by a scale factor 'k' to form quadrilateral A'B'C'D',
Scale factor = ![\frac{\text{Length of one side of the Image}}{\text{Length of one side of the original}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BLength%20of%20one%20side%20of%20the%20Image%7D%7D%7B%5Ctext%7BLength%20of%20one%20side%20of%20the%20original%7D%7D)
k = ![\frac{BA'}{BA}](https://tex.z-dn.net/?f=%5Cfrac%7BBA%27%7D%7BBA%7D)
Distance between B(2, -5) and A(-1, -1) = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
= ![\sqrt{(2+1)^2+(-5+1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282%2B1%29%5E2%2B%28-5%2B1%29%5E2%7D)
= 5 units
Distance between B(2, -5) and A'(-5.5, 5) = ![\sqrt{(-5.5-2)^2+(5+5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-5.5-2%29%5E2%2B%285%2B5%29%5E2%7D)
= ![\sqrt{(-7.5)^2+(10)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-7.5%29%5E2%2B%2810%29%5E2%7D)
= 12.5 units
Scale factor 'k' = ![\frac{12.5}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12.5%7D%7B5%7D)
k = ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
Therefore, ABCD is dilated by a scale factor
about point B.
BA and it's image BA' are on the same line and passes through center of dilation B.
Similarly, lines CD and C'D' will be parallel because they do not pass through center of dilation.
Therefore, Option (A) will be the correct option.
Answer:sfj
Step-by-step explanation:
Vfgjn
3.2x10^12 and it’s science, not math science
Answer:
The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered=0.1353
Step-by-step explanation:
We are given that
![\beta=15](https://tex.z-dn.net/?f=%5Cbeta%3D15)
We have to find the probability that more that 30 minutes will elapse before the next fraudulent corporate tax return is discovered.
Using exponential distribution
![P(X> x)=e^{-\frac{x}{\beta}}](https://tex.z-dn.net/?f=P%28X%3E%20x%29%3De%5E%7B-%5Cfrac%7Bx%7D%7B%5Cbeta%7D%7D)
The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered
![=P(x>30)=e^{-\frac{30}{15}}](https://tex.z-dn.net/?f=%3DP%28x%3E30%29%3De%5E%7B-%5Cfrac%7B30%7D%7B15%7D%7D)
The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered
![P(x>30)=0.1353](https://tex.z-dn.net/?f=P%28x%3E30%29%3D0.1353)
Hence, the probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered=0.1353