9. in the figure below, what value of $x$ will satisfy the midsegment theorem? (lesson 8.4) (1 point)

$g$ is on $sr$, $h$ is on $rq$.
$gh = 4x - 65$
$sq = 2x - 4$

Question

9. in the figure below, what value of $x$ will satisfy the midsegment theorem? (lesson 8.4) (1 point)

$g$ is on $sr$, $h$ is on $rq$.
$gh = 4x - 65$
$sq = 2x - 4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Midsegment Theorem", "Midsegment Properties", "Solving Linear Equations" ], "new_concepts": [], "current_concepts": [ "Triangle Midsegment Theorem", "Midsegment Properties", "Solving Linear Equations" ] } ## Set up the midsegment equation $$ 2(4x - 65) = 2x - 4 $$ ## Solve for x $$ \begin{aligned} 8x - 130 &= 2x - 4 \ 6x &= 126 \ x &= 21 \end{aligned} $$ In the figure below, what value of x will satisfy the midsegment theorem? 21 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Midsegment Theorem" ] }

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Set up the midsegment equation

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