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Home Question Bank Math Geometry Archive 2025 January 21

Geometry Questions from Jan 21,2025

Browse the Geometry Q&A Archive for Jan 21,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Determina l'equazione della retta tangente all'ellisse di equazione \( x^{2}+\frac{3}{4} y^{2}=1 \) nel suo punto di coordinate \[ \left(\frac{1}{2} ; 1\right) \] \[ [2 x+3 y-4=0] \] Demuestra cómo se relaciona el área de un triángulo en términos de sus lados usando la fórmula de Herón y expresa el resultado como una función de los lados. 5. Given two triangles, \( A B C \) and \( X Y Z \), and \( A B=4, A C=5, X Y=12 \), \( X Z=10 \) and \( \angle A \cong \angle X \). Which theorem or postulate can be used to prove \( \triangle A B C \sim \triangle X Y Z \) ? P). AA Q). SSS R). SAS S). Not Similar Consider the line \( -x-8 y=8 \). Find the equation of the line that is parallel to this line and passes through the point \( (3,-3) \). Find the equation of the line that is perpendicular to this line and passes through the point \( (3,-3) \). Equation of parallel line: Equation of perpendicular line: Consider the line \( -x-8 y=8 \). Find the equation of the line that is parallel to this line and passes through the point \( (3,-3) \). Find the equation of the line that is perpendicular to this line and passes through the point \( (3,-3) \). Equation of parallel line: Consider the line \( -x-8 y=8 \). Find the equation of the line that is parallel to this line and passes through the point \( (3,-3) \). Find the equation of the line that is perpendicular to this line and passes through the point \( (3,-3) \). Equation of parallel line: \( 1 \leftarrow \) A cylindrical tank has a radius of 6.5 ft and an altitude of 15 ft . If a gallon of paint will cover \( 130 \mathrm{ft}^{2} \) of surface, how much paint is needed to put two coats of paint on the entire The equations of three lines are given below. Line 1:5y=2x+7 Line 2: \( y=\frac{5}{2} x+3 \) Line 3: \( 4 x+10 y=2 \) For each pair of lines, determine whether they are parallel, perpendicular, or neither. \( \begin{array}{l}\text { Line } 1 \text { and Line 2: Parallel O Perpendicular O Neither } \\ \text { Line } 1 \text { and Line 3: Parallel O Perpendicular O Neither } \\ \text { Line } 2 \text { and Line 3: Parallel O Perpendicular O Neither }\end{array} \) Habilidade BNCC EFO7MA32 Um hexágono regular é formado por seis triângulos equiláteros com os lados medindo 12 cm . A área do hexâgono é igual a a) \( 216 \mathrm{~cm}^{2} \) b) \( 216 \sqrt{3} \mathrm{~cm}^{2} \) 1033 c) \( 6 \sqrt{108} \mathrm{~cm}^{2} \) low many square feet of carpet are needed to cover the floor of a rectangular room that neasures 18 feet by 16 feet? Select an answer 0
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