{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Tangent-Secant Theorem" ], "new_concepts": [], "current_concepts": [ "Tangent-Secant Theorem", "Secant Segments Theorem" ] } ## Set up the equation using the Secant-Secant Theorem \[ 5 \cdot (5 + x) = 4 \cdot (4 + 11) \] ## Solve for x \[ \begin{aligned} 5(5 + x) &= 4(15) \\ 25 + 5x &= 60 \\ 5x &= 35 \\ x &= 7 \end{aligned} \] Find x. \(x =\) 7 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Tangent-Secant Theorem" ] }

find x. x = | Sovi AI

QUESTION IMAGE

Question

find x.
x =

Explanation:

Set up the equation using the Secant-Secant Theorem

5 \cdot (5 + x) = 4 \cdot (4 + 11)

Solve for x

$$ LATEXBLOCK0 $$

Answer:

Find x.

\(x =\) <blank>7</blank>