the length of tr is 17 units. what are the lengths of sv and qt?
sv = units
qt = units

Question

the length of tr is 17 units. what are the lengths of sv and qt?
sv =   units
qt =   units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Perpendicular Bisector Theorem" ], "new_concepts": [ "Kite Properties" ], "current_concepts": [ "Perpendicular Bisector Theorem", "Kite Properties" ] } ## Solve for x using segment congruence $$ \begin{aligned} TR &= RV \ 17 &= 3x + 2 \ 3x &= 15 \ x &= 5 \end{aligned} $$ ## Calculate SV and QT $$ \begin{aligned} SV &= QT \ SV &= 9x - 4 = 9(5) - 4 = 41 \ QT &= 9x - 4 = 41 \end{aligned} $$ The length of TR is 17 units. What are the lengths of SV and QT? SV = 41 units QT = 41 units { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Perpendicular Bisector Theorem" ] }

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Question

Explanation:

Solve for x using segment congruence

Calculate SV and QT

Answer: