the figure below is a rectangle.
find the value of x.
$5x + 8$
$2x + 17$
$x = ?$

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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": [ "Properties of Rectangles", "Linear Equations" ], "current_concepts": [ "Properties of Rectangles", "Linear Equations" ] } ## Equate opposite sides of the rectangle $$ 5x + 8 = 2x + 17 $$ ## Solve for x $$ \begin{aligned} 3x + 8 &= 17 \ 3x &= 9 \ x &= 3 \end{aligned} $$ The figure below is a rectangle. Find the value of x. $5x + 8$ $2x + 17$ $x =$ 3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Properties of Rectangles" ] }

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Explanation:

Equate opposite sides of the rectangle

Solve for x

Answer: