Answer :
Final Answer:
To find the length of segment DF, we apply the principle that the sum of the lengths of two segments equals the length of the entire segment. Therefore the value of DF is 6m - 51.
Explanation:
To find the length of segment DF, we apply the principle that the sum of the lengths of two segments equals the length of the entire segment. By substituting the given lengths of DE and EF into this equation, we derive an expression for DF. Each step involves combining like terms and performing arithmetic operations to simplify the expression, ensuring accuracy in determining the length of DF based on the lengths of its constituent parts.
1. Given values:
DE = 1.5m - 9 and EF = 4.5m - 42.
2. To find DF, we use DE + EF = DF.
3. Substitute the given values: DF = (1.5m - 9) + (4.5m - 42).
4. Combine like terms:
DF = (1.5m + 4.5m) + (-9 - 42).
5. Perform operations:
DF = 6m - 51.
6. Therefore, the value of DF is 6m - 51.
