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Home Question Bank Math Geometry Archive 2025 January 03

Geometry Questions from Jan 03,2025

Browse the Geometry Q&A Archive for Jan 03,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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12. sobre las rectas \( j, k, l, m \) y \( n \), que se encuentran en el mismo plano, se sabe que: - Las rectasjykson perpendiculares. - La rectaky/son paralelas. - Las rectas/ymson paralelas. - Las ŕectas \( m \) y \( n \) son perpendiculares. ¿Cuál de las siguientes relaciones es verdadera? A. \( k y \mathrm{~m} \) son perpendiculares. B. \( l \mathrm{y} n \) son paralelas. C. \( n y j \) son perpendiculares. D. \( j \) y \( m \) son perpendiculares. A cone with a base radius of 4 cm and a height of 9 cm is placed on top of a cylinder with a radius of 4 cm and a height of 6 cm. Find the total surface area of the composite solid formed. A composite solid consists of a cylinder and a hemisphere on top. The cylinder has a height of 8 inches and a radius of 3 inches. What is the total surface area of the composite solid if the hemisphere is attached to the top? 30. La somma delle diagonali di un rombo misura 49 dm e una di esse è \( 4 / 3 \) dell'altra. Calcola l'area del rombo. \( \left[294 \mathrm{dm}^{2}\right. \) Construire un triangle \( \mathbf{A B C} \) rectangle au point \( \mathbf{B} \) tel que : \( \mathbf{A B}=\mathbf{4} \mathbf{~ c m} \) et \( \mathbf{B C}=\mathbf{6} \mathbf{c m} \). Trace les médiatrices \( \left(\boldsymbol{D}_{1}\right) \) et \( \left(\boldsymbol{D}_{2}\right) \) des segments \( [A B] \) et \( [B C] \) passants par les milie \( \mathbf{J} \) ( resp ). In a right triangle, one leg measures 7 units and the hypotenuse measures 25 units. Use the Pythagorean theorem to find the length of the other leg. Ben, Cindy and Tom cut a single cake into three slices. The sizes of the slices are proportional to their ages. What is the central angle of Cindy's slice? Ben is 10 years old Cindy is 15 years old Tom is 20 years old In a right triangle, one leg measures 7 units and the hypotenuse measures 25 units. Use the Pythagorean theorem to find the length of the other leg. Allora la distanza cercata è la distanza di \( Q \) da \( Q^{\prime}: \frac{\sqrt{66}}{6} \). Esercizio 2 2 : il punto \( Q^{\prime}=\left(\frac{5}{6}, \frac{7}{6},-\frac{1}{3}\right) \). da questo 2. É unico tale piano? Using a ruler and a pair of compasses only, construct a parallelogram \( P Q R S \) in which \( P Q=6 \mathrm{~cm} \) and \( Q R=4 \mathrm{~cm} \) and \( \angle S P Q=75^{\circ} \).Drop a perpendicular from \( R \) to meet \( P S \) extended at \( T \). Measure RT. ( 4
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