throw some algebra into the mix
find $wx$.
find the value of $wx$.
$xy = 2x + 16$
$xw = 7x - 29$

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Tangent Segments from External Point" ], "new_concepts": [], "current_concepts": [ "Tangent Segments from External Point" ] } ## Equate the tangent segments $$ 7x - 29 = 2x + 16 $$ ## Solve for x $$ \begin{aligned} 5x &= 45 \ x &= 9 \end{aligned} $$ ## Calculate WX $$ \begin{aligned} WX &= 7(9) - 29 \ WX &= 63 - 29 \ WX &= 34 \end{aligned} $$ Find the value of WX. 34 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Tangent Segments from External Point" ] }

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Question

Explanation:

Equate the tangent segments

Solve for x

Calculate WX

Answer: