1 Determine EG given AD=36, DF=24, AE=48, and DE || FG.

April 21, 2026Mathematics

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April 21, 2026

Answer

\frac{AE}{EG} $$

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QUESTION 10

10.1 Determine EG Step 1: Identify parallel lines and transversals. Given $DE \parallel FG \parallel BC$ . Lines $AB$ and $AC$ are transversals. Step 2: Apply the Proportionality Theorem (Thales's Theorem). Since $DE \parallel FG$ , the segments on the transversals are proportional: $\frac{AD}{DF} = \frac{AE}{EG}$ Step 3: Substitute the given values.

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Welcome back ~👻Masana — missed you this week. Here are the solutions to the problems.

Asked on April 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 21, 2026

Welcome back ~👻Masana — missed you this week. Here are the solutions to the problems. QUESTION 10 10.1 Determine EG Step 1: Identify parallel lines and transversals. Given DE FG BC. Lines AB and AC are transversals. Step 2: Apply the Proportionality Theorem (Thales's Theorem). Since DE FG, the segments on the transversals are proportional: (AD)/(DF) = (AE)/(EG) Step 3: Substitute the given values. (36)/(24) = (48)/(EG)