Answer:
The correct answer is that f = 1 1/4 units
Complete question and statement: If Δ EFG ≅ Δ LNM, what is the measure of f? Let g = 8 1/10, n = 2 1/2 and m = 16 1/5.
Source: Graph attached
Explanation:
1. Let's review the information given to us to answer the question correctly:
Δ EFG ≅ Δ LNM
g = 8 1/10
n = 2 1/2
m = 16 1/5
2. For finding out the value of f, we will use the Rule of Three Simple, this way:
8 1/10: 16 1/5 = f: 2 1/2
Converting all the number to fractions:
81/10: 81/5 = f: 5/2
81/5 * f = 81/10 * 5/2
81f/5 = 81/4 (Simplifying at the right side)
f = 81/4 * 5/81 (Dividing by 81/5 at both sides and using the inverse for multiplication)
f = 5/4 = 1 1/4
The correct answer is that f = 1 1/4 units