For now, let's assume we can rule out choice A.
Angles 3 and 7 are vertical angles. So we can rule out choice B
Angle 3 and angle 11 are corresponding angles. They are on the topside of their adjacent parallel horizontal line. They are also on the left side of the transversal cut line d. The answer is choice C.
Angles 3 and 8 are not corresponding angles. Corresponding angles are not adjacent to one another. In other words, they do not share a common vertex.
Answer:
x - 8 = 0
Step-by-step explanation:
Since, the cube root of a number is 2.
Let the number be x.
Therefore,
![\sqrt[3]{x} = 2 \\ cubing \: both \: sides \\ {( \sqrt[3]{x})}^{3} = {(2)}^{3} \\ x = 8 \\ x - 8 = 0](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20%20%3D%202%20%5C%5C%20%20cubing%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%7B%28%20%5Csqrt%5B3%5D%7Bx%7D%29%7D%5E%7B3%7D%20%20%3D%20%20%7B%282%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%20x%20%3D%208%20%5C%5C%20%20x%20-%208%20%3D%200)
Answer:
since if we are testing the null hypothesis at the 95% confidence level is that the difference of the two means is not significant at the 95% confidence level, so the null hypothesis must be rejected.
Hence option 3) is correct.
n = a number
2n = twice a number
2n - 7 = seven less than twice a number
Solution:
The number 624 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 624. The first step is to divide the number 624 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
624 ÷ 2 = 312
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
Further dividing 39 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 39 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
Then, the prime factors of 624 are 2, 3, 13, and we have that the prime factorization of 624 is:

So that, we can conclude that the solution is: