figure cdef is a parallelogram.
what is the value of (r)?
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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parallelogram Side Properties" ], "new_concepts": [], "current_concepts": [ "Parallelogram Side Properties" ] } ## Equate opposite sides of the parallelogram $$ \begin{aligned} CF &= DE \ 10r - 20 &= 6r \end{aligned} $$ ## Solve the linear equation for r $$ \begin{aligned} 4r &= 20 \ r &= 5 \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallelogram Side Properties" ] }

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Question

Explanation:

Equate opposite sides of the parallelogram

Solve the linear equation for r

Answer: