3. is SAS
4. is CPCTC
5. i think its 66
Step-by-step explanation:
![27 \times \frac{1}{ {3}^{3} }](https://tex.z-dn.net/?f=27%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B%20%7B3%7D%5E%7B3%7D%20%7D%20)
![= 27 \times \frac{1}{27}](https://tex.z-dn.net/?f=%20%3D%2027%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B27%7D%20)
![= 1](https://tex.z-dn.net/?f=%20%3D%201)
Answer:
30![(x+1)^8 (x-4)^5](https://tex.z-dn.net/?f=%28x%2B1%29%5E8%20%28x-4%29%5E5)
Step-by-step explanation
<h3>
![6(x+1)^{3}(x-4))^{2}=2X3 X (x+1)^3(x-4)^2\\10(x+1)^8(x-4)^5)= 2X5X(x+1)^8 (x-4)^5\\](https://tex.z-dn.net/?f=6%28x%2B1%29%5E%7B3%7D%28x-4%29%29%5E%7B2%7D%3D2X3%20X%20%28x%2B1%29%5E3%28x-4%29%5E2%5C%5C10%28x%2B1%29%5E8%28x-4%29%5E5%29%3D%202X5X%28x%2B1%29%5E8%20%28x-4%29%5E5%5C%5C)
</h3>
In order to find the Least common multiple we write each of the factor only once from each of the expression and for the common expression we take their LCM as maximum of the exponent in all expressions
as here in the question exponent of (x+1) are 3 and 8 so we take exponent 8
likewise for (x-4) we shall take maximum of 2 and 5 which is 5
so our expression for Least common multiple will be
2X3X5 X ![(x+1)^8 (x-4)^5](https://tex.z-dn.net/?f=%28x%2B1%29%5E8%20%28x-4%29%5E5)
30![(x+1)^8 (x-4)^5](https://tex.z-dn.net/?f=%28x%2B1%29%5E8%20%28x-4%29%5E5)
The answer is a. $11 bc you divide the amount made by the hours worked
Answer:
The freezing point of the water with the added potassium is 24 degrees Fahrenheit.
Step-by-step explanation:
To find the freezing point of the water with the added potassium, you need to subtract 8 degrees from the initial freezing point of water, This is because you know that after adding potassium to water, the freezing point went down by 8 degrees Fahrenheit. So you need to subtract 8 degrees from the initial freezing point of water (32 degrees Fahrenheit). 32º F - 8º = 24º F. So the freezing point of the water with the added potassium is 24 degrees Fahrenheit.