Final answer:
The value of x in the rectangle problem where AC = 2x + 10 and BD = 56 is found to be 23, after solving the equation 2x + 10 = 56.
Step-by-step explanation:
The student has asked a geometry question involving a rectangle. In a rectangle, the diagonals are congruent, meaning that AC = BD. Given that AC = 2x + 10 and BD = 56, we can set up the equation 2x + 10 = 56. To find the value of x, we subtract 10 from both sides and get 2x = 46. Dividing both sides by 2 gives us x = 23. Therefore, the value of x is 23.