if $ao = 3$, $co = 5$, $ob = 15$, what is $od$?

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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": [ "Intersecting Chords Theorem" ], "new_concepts": [], "current_concepts": [ "Intersecting Chords Theorem" ] } ## Identify the geometric relationship $$ AO \cdot OB = CO \cdot OD $$ ## Substitute the given values $$ 3 \cdot 15 = 5 \cdot OD $$ ## Solve for OD $$ \begin{aligned} 45 &= 5 \cdot OD \ OD &= 9 \end{aligned} $$ If $AO = 3$, $CO = 5$, $OB = 15$, what is $OD$? 9 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Intersecting Chords Theorem" ] }

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Question

Explanation:

Identify the geometric relationship

Substitute the given values

Solve for OD

Answer: