figure jklm is a parallelogram. the measures of line segments mt and tk are shown.

what is the value of (y)?

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Question

figure jklm is a parallelogram. the measures of line segments mt and tk are shown.

what is the value of (y)?

1
2
7
8

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Properties of Parallelograms", "Solving Linear Equations" ], "new_concepts": [], "current_concepts": [ "Properties of Parallelograms", "Solving Linear Equations" ] } ## Identify the properties of the diagonals Using the *Properties of Parallelograms* knowledge point $$ \begin{aligned} &MT = TK\ &8y + 18 = 12y - 10 \end{aligned} $$ ## Solve the linear equation for y Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} &18 + 10 = 12y - 8y\ &28 = 4y\ &y = 7 \end{aligned} $$

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{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Properties of Parallelograms" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the properties of the diagonals

Solve the linear equation for y

Answer: