1. **Problem:** Find $\text{Fib}(10)$ given $\text{Fib}(9) = 34$ and $\text{Fib}(8) = 21$.
2. **Formula:** The Fibonacci sequence is defined as:
$$\text{Fib}(n) = \text{Fib}(n-1) + \text{Fib}(n-2)$$
3. **Apply the formula:**
$$\text{Fib}(10) = \text{Fib}(9) + \text{Fib}(8)$$
4. **Substitute known values:**
$$\text{Fib}(10) = 34 + 21$$
5. **Calculate:**
$$\text{Fib}(10) = 55$$
6. **Explanation:** We use the recursive definition of Fibonacci numbers, adding the two previous terms to find the next one. Since $\text{Fib}(9)$ and $\text{Fib}(8)$ are given, we simply add them to get $\text{Fib}(10)$.
**Final answer:**
$$\boxed{55}$$
Fib 10 1Ebbfd
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