find the value of x in this trapezoid.

$ac = 7x + 1$
$bd = 6x + 3$

$x = ?$

Question

find the value of x in this trapezoid.

$ac = 7x + 1$
$bd = 6x + 3$

$x = ?$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Isosceles Trapezoid Properties", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Isosceles Trapezoid Properties", "Linear Equations" ] } ## Equate the diagonals of the isosceles trapezoid $$ \begin{aligned} AC &= BD \ 7x + 1 &= 6x + 3 \end{aligned} $$ ## Solve the linear equation for x $$ \begin{aligned} 7x - 6x &= 3 - 1 \ x &= 2 \end{aligned} $$ Find the value of x in this trapezoid. $x =$ 2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Isosceles Trapezoid Properties" ] }

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QUESTION IMAGE

Question

Explanation:

Equate the diagonals of the isosceles trapezoid

Solve the linear equation for x

Answer: