assume lines which appear to be tangent are tangent. solve for x. write your answers as decimals as needed.

\x^2 + \boxed{\phantom{space}}^2 = \boxed{\phantom{space}}^2\

Question

assume lines which appear to be tangent are tangent. solve for x. write your answers as decimals as needed.

\x^2 + \boxed{\phantom{space}}^2 = \boxed{\phantom{space}}^2\

Accepted Answer

{ "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", "Circle Segment Theorems" ] } ## Apply the Tangent-Secant Theorem $$ \begin{aligned} \text{Tangent segment} &= x \ \text{External secant segment} &= 13 - 5.2 = 7.8 \ \text{Entire secant segment} &= 13 \ x^2 &= 7.8 \times 13 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x^2 &= 101.4 \ x &= \sqrt{101.4} \approx 10.07 \end{aligned} $$ Assume lines which appear to be tangent are tangent. Solve for x. Write your answers as decimals as needed. $x^2 +$ $0$$^2 =$ $101.4$$^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Tangent-Secant Theorem" ] }

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Explanation:

Apply the Tangent-Secant Theorem

Solve for x

Answer: