kite fghk is shown.
what is the value of m?
$m = 2$
$m = 3$
$m = 15$
$m = 16$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Kite Properties" ], "new_concepts": [], "current_concepts": [ "Kite Properties" ] } ## Equate the consecutive congruent sides of the kite $$ \begin{aligned} GH &= HK \ 5m + 1 &= 3m + 7 \end{aligned} $$ ## Solve the linear equation for m $$ \begin{aligned} 2m + 1 &= 7 \ 2m &= 6 \ m &= 3 \end{aligned} $$

m=2

m=3

m=15

m=16

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

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QUESTION IMAGE

Question

Explanation:

Equate the consecutive congruent sides of the kite

Solve the linear equation for m

Answer: