Write a Python function `multiply_elements` that takes as input a tuple of numbers `(t_1, t_2, ..., t_{N+1})` and returns a tuple of length `N` where the `i-th` element of the tuple is equal to `t_i * t_{i+1}`.
#### Example Usage
```python [main.nopy]
print(multiply_elements((1, 5, 7, 8, 10))) # Output: (5, 35, 56, 80)
print(multiply_elements((2, 4, 5, 6, 7))) # Output: (8, 20, 30, 42)
print(multiply_elements((12, 13, 14, 9, 15))) # Output: (156, 182, 126, 135)
print(multiply_elements((12,))) # Output: ()
```
#### Constraints
- The input tuple will always contain at least one number.
- The function should handle tuples of varying lengths gracefully.