7. given the circle below with chords $\overline{tu}$ and $\overline{vw}$. find the length of $\overline{wx}$. round to the nearest tenth if necessary.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Intersecting Chords Theorem" ], "current_concepts": [ "Intersecting Chords Theorem", "Circle Geometry" ] } ## Set up the Intersecting Chords Theorem equation $$ TX \cdot XU = WX \cdot XV $$ ## Substitute the given values and solve for WX $$ \begin{aligned} 25 \cdot 39 &= WX \cdot 37 \ 975 &= 37 \cdot WX \ WX &= \frac{975}{37} \approx 26.351 \end{aligned} $$ ## Round to the nearest tenth $$ WX \approx 26.4 $$ Given the circle below with chords $\overline{TU}$ and $\overline{VW}$. Find the length of $\overline{WX}$. Round to the nearest tenth if necessary. The length of $\overline{WX}$ is 26.4. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Intersecting Chords Theorem" ] }

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Question

Explanation:

Set up the Intersecting Chords Theorem equation

Substitute the given values and solve for WX

Round to the nearest tenth

Answer: