Geometry Questions from Dec 02,2024

Browse the Geometry Q&A Archive for Dec 02,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Dado um triângulo com lados de 7 cm, 10 cm e 12 cm, calcule o raio do círculo circunscrito. [b] Prove that the points \( \mathrm{A}(3,-1), \mathrm{B}(-4,6), \mathrm{C}(2,-2) \) lie on a circle whose centre is \( \mathrm{M}(-1,2) \), then find the circumference of the circle in terms of \( \pi \) Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an \( x \). The missing length, \( x \), is \( \square \) inches. Le depart d'un téleski est à 1182 m et l'arrivé au sommet e a 1782 m . calcule sa pente sachant que la distance horizentale est de 15 km . What is the sum of the measures of the interior angles of an 11 -gon? A. \( 1800^{\circ} \) B. \( 1620^{\circ} \) C. \( 1440^{\circ} \) D. \( 3600^{\circ} \) E. \( 2880^{\circ} \) F. \( 1980^{\circ} \) What is the sum of the measures of the exterior angles of any convex polygon? A. \( 90^{\circ} \) B. \( 360^{\circ} \) C. \( 720^{\circ} \) D. \( 180^{\circ} \) Each exterior angle of a regular polygon measures \( 20^{\circ} \). How many sides does the polygon have? A. 18 B. 15 C. 16 D. 20 What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures \( 72^{\circ} \) ? A. \( 540^{\circ} \) B. \( 720^{\circ} \) C. \( 1080^{\circ} \) D. \( 900^{\circ} \) E. \( 360^{\circ} \) F. \( 180^{\circ} \) 9. 2Cuál de estos pares de longitudes corresponde a los lados de un rectángulo con perimetro 38 cm y área \( 78 \mathrm{~cm}^{2} \) ? A pentagon can be divided into how many triangles by drawing all of the diagonals from one vertex? A. 5 B. 2 C. 3 D. 4
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