Solve for $x$.
$$
x=
$$

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Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the similar triangles and their corresponding sides. ‖ ‖ step 2 ⋮ Set up the proportion based on the similarity of triangles ABC and ADE. ‖ ‖ step 3 ⋮ The proportion is $\frac{x}{6} = \frac{8}{11}$, since AB corresponds to BC and BD corresponds to DE. ‖ ‖ step 4 ⋮ Solve for $x$ by cross-multiplying: $x \cdot 11 = 6 \cdot 8$. ‖ ‖ step 5 ⋮ Calculate the value of $x$: $x = \frac{6 \cdot 8}{11}$. ‖ ‖ step 6 ⋮ Simplify the fraction to find $x$: $x = \frac{48}{11}$. ‖ ∻Answer∻ ⚹ $x = \frac{48}{11}$ ⚹ ∻Key Concept∻ ⚹Similar Triangles and Proportions⚹ ∻Explanation∻ ⚹The lengths of corresponding sides of similar triangles are proportional. By setting up a proportion based on the given side lengths, we can solve for the unknown side.⚹◊What is the relationship between the sides of similar triangles?⍭ Generate me a similar question◊

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