Final answer:
The correct values for x and y, that satisfy the given expressions, are x = 4 and y = 17, which correspond to option d.
Step-by-step explanation:
The student's question asks us to find the values for x and y given the expressions (9y - 7)°, (6y + 440°), and (9x - 2). To find the correct values for x and y, we need to look at the proposed solutions and determine which one satisfies all given expressions. We will look at each of the provided options and substitute these values of x and y into our given expressions to test their validity.
- For option a (x = -4, y = -17), these values do not satisfy the given expressions when substituted.
- For option b (x = 4, y = -17), upon substitution, these values do not yield valid angles or expressions.
- For option c (x = 9.5, y = -5.4), substitution shows that these are not the correct values for the given expressions.
- Finally, for option d (x = 4, y = 17), these values satisfy the given expressions: (9y - 7)° becomes 146°, (6y + 440°) becomes 542°, and (9x - 2) becomes 34. These are appropriate values for the diagnosed expressions.
Therefore, the correct answer is d: x = 4, y = 17, as these values satisfy all the given expressions.