Answer:In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
Step-by-step explanation: : 3
Answer:
Step-by-step explanation:
![{x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B%20-%202%7D%20%20%7By%7D%5E%7B3%7D%20%20%5Csqrt%5B3%5D%7B%2064%7Bx%7D%5E%7B5%7D%20%20%7By%7D%5E%7B3%7D%20%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%5C%5C%20%20%5C%5C%20%20%7Bx%7D%5E%7B%20-%202%7D%20%20%7By%7D%5E%7B3%7D%20%20%20%5Ctimes%204%20%5Ctimes%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B5%7D%7B3%7D%20%7D%20%20%20%5Ctimes%20y%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%204%20%7Bx%7D%5E%7B%20%5Cfrac%7B5%7D%7B3%7D%20-%202%20%7D%20%20%7By%7D%5E%7B3%20%2B%201%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%204%20%7Bx%7D%5E%7B%20%5Cfrac%7B5%20-%206%7D%7B3%7D%20%7D%20%20%7By%7D%5E%7B4%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%204%20%7Bx%7D%5E%7B%20%5Cfrac%7B%20-%201%7D%7B3%7D%20%7D%20%20%7By%7D%5E%7B4%7D%20%20%3D%20a%20%7Bx%7D%5E%7Bb%7D%20%20%7By%7D%5E%7Bc%7D%20%20%20%5C%5C%20%20%5C%5C%20equating%20%5C%3A%20like%20%5C%3A%20terms%20%5C%3A%20on%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%5C%5C%20a%20%3D%204%20%5C%5C%20%20%5C%5C%20b%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20c%20%3D%204%20%5C%5C%20%20%5C%5C%20abc%20%3D%204%20%5Ctimes%20%28%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5Ctimes%204%20%5C%5C%20%20%5C%5C%20%20%3D%2016%20%5Ctimes%20%28%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5C%5C%20%20%5C%5C%20abc%20%3D%20%20-%20%20%5Cfrac%7B16%7D%7B3%7D%20)
Step-by-step explanation:
Since we have given that
Number of hour Marco practiced the piano on Monday is given by
Number of hours Marco practiced the piano on Tuesday is given by
1) For Adding :
Total number of hours he practiced on both Monday and Tuesday will be
2) For Subtraction,
Number of hour he practiced more on Tuesday than on Monday will be
Answer:
0.0019, 0.0091, 0.091, 0.55, 0.59, 5.0, 90.5
Mode = 11
Reason: 11 appeared twice, which is the most frequent number observed in this set of data.
