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Home Question Bank Math Geometry Archive 2024 December 09

Geometry Questions from Dec 09,2024

Browse the Geometry Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Test nga lënda e Matematikës 1. Është dhënë ekuacioni i rrethit në trajtën e përgjithshme të kthehet në ekuacion kanonik të rrethit dhe të giendet qendra dhe rrezja e rrethit: \( x^{2}+y^{2}+8 x+4 y-5=0 \). a lenda e Matematikës in e përgjithshme të kthehet në ekuacic rrethit: \( x^{2}+y^{2}+8 x+4 y-5=0 \) \begin{tabular}{l} 6:24 \\ transformations could be applied to \( E F G H \) to \\ show it is similar to \( J K L M \) ? Select all that \\ apply. \\ a dilation with scale factor \( \frac{3}{4} \) \\ centered at the origin followed \\ by a rotation of \( 180^{\circ} \) centered \\ at the origin \\ a reflection across the \( y \)-axis \\ followed by a dilation with scale \\ factor \( \frac{3}{4} \) centered at the origin \\ a dilation with scale factor \( \frac{3}{4} \) \\ centered at the origin followed \\ by a reflection across the \( x \)-axis \\ \hline\end{tabular} 11. For the parabola given bys \[ \begin{array}{l}(x-2)^{2}=-4(y-3) \\ \text { Find the vertex, focas, and directrix } \\ \text { please write all points as } \\ \text { ordered pairs. }\end{array} \] \( y^{2}=4 x \) Find the vertex, focus and directix. please entur all points as ordered pairs. Find the volume of a pyramid with a square base, where the side length of the base is 6.6 m and the height of the pyramid is 10.2 m . Round your answer to the nearest tenth of a cubic meter. Find the volume of a pyramid with a square base, where the side length of the base is 8.7 cm and the height of the pyramid is 13.1 cm . Round your answer to the nearest tenth of a cubic centimeter. Find the volume of a pyramid with a square base, where the side length of the base is 8.7 cm and the height of the pyramid is 13.1 cm . Round your answer to the nearest tenth of a cubic centimeter. 1. A triangle has two sides that measure \( 9.8,16.8 \) and 18.1. Find the measure of the angle that is opposite side of 1ength 16.8 . Round your answer to the nearest turth. 26 On donne les points: \[ A(0 ; 5), B(-2 ; 1) \text { et } C(5 ; 4) \] a) Calculer les coordonnées du vecteur \( \overrightarrow{A B} \). b) Déterminer les coordonnées du point \( D \) tel que \( A B C D \) soit un parallélogramme. c) Calculer les coordonnées du centre de ce parallélo- gramme.
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