Two Tangent Theorem Exam Questions With 100% Verified Solutions

Two Tangent Theorem Exam Questions With 100% Verified Solutions In the diagram, the length of the external portion of the secant segment PN is_____ The length of the entire secant segment LN is_______ The value of x is ________ - ANSWER 1. X 2. 36 3. 15.75 Circle O is inscribed in the given triangle. What is the perimeter of the triangle? A. 22 units B. 30 units C. 44 units D. 60 units - ANSWER C. 44 Units Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. If the brace is extended upward, it would go through the center of the shelf and the circle. What is the diameter of the window? Diameter =______ feet - ANSWER 10 Fee Chords AC and BD intersect at E, with BD = 7 units, DE = 2 units, and AE = 4 units. What is the length of segment CE? - ANSWER 2.5 Units Which equation results from applying the secant and tangent segment theorem to this figure ? x(x + 2) = (x + 4) x(x + 4) = (x + 2) x(x + 4) = (x + 2)2 x(2x + 4) = (x + 2)2 - ANSWER D. x(2x + 4) = (x + 2)2 What is the value of x? x = 2 x = 3 x = 4 x = 6 - ANSWER B. 3 BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD? - ANSWER 11 Units