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3 years ago

What is the Measure of angle f

Mathematics

1 answer:

givi [52]3 years ago

3 0

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

Step-by-step 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

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