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Home Question Bank Math Geometry Archive 2024 December 27

Geometry Questions from Dec 27,2024

Browse the Geometry Q&A Archive for Dec 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Angles 3 and 5 are \( \square \) and \( m \angle 5 \) is \( (2 x+11)^{\circ} \). 13. Una lámpara está instalada en lo alto de un poste de 15 pies de altura. Un hombre de 6 pies de estatura se aleja caminando desde el poste con una rapidez de 5 pies/s a lo largo de una trayectoria rectilínea. ¿Qué tan rápido se desplaza la punta de su sombra cuando el hombre está a 40 pies del poste? 4.4 \( g \) is one of the axes of symmetry of \( f \) and it is a decreasing function. Determine the equation of \( g \). 4.5 \( (-3 ; 2) \) is a point on \( f \). Determine the coordinates of the image of this point after reflection in \( g \). \begin{tabular}{l|l|}\hline \( \begin{array}{l}\text { Sample Response: Because vertical angles are } \\ \text { congruent, angles } 1 \text { and } 4 \text { are congruent. Because } \\ \text { corresponding angles are congruent, angles } 4 \text { and } 8 \text { are } \\ \begin{array}{l}\text { congruent. Because angle } 4 \text { is congruent to both } 1 \text { and } 8, \\ \text { angle } 1 \text { is congruent to angle } 8 .\end{array}\end{array} \) & \( \begin{array}{l}\text { What did you include in your response? Check all that } \\ \text { apply. } \\ \square \text { vertical angles theorem } \\ \square \text { corresponding angles theorem } \\ \square \text { transitive property }\end{array} \) \\ \( \square \) supplementary angles \\ \( \square \) linear pairs \end{tabular} 5 Considera el vector \( \overrightarrow{\mathrm{u}}(3,-4) \). Calcula: a) Un vector paral. lel a \( \overrightarrow{\mathrm{u}} \) de mòdul 1 . b) Un vector perpendicular a \( \overrightarrow{\mathrm{u}} \) de mòdul 2 . ¿Cuál es la relación entre el radio y la altura de un cilindro si sabemos que su volumen es igual a \( 50\pi \) cúbicas? Calcula esta relación si el radio es 5. 526. The degree measures of the arcs \( A B \) and \( A C \) of a circle are \( 180^{\circ} \) and \( 38^{\circ} \) respectively. Find the angle \( B A C \) (consider wo wases). Write the coordinates of the vertices after a rotation \( 180^{\circ} \) clockwise around the origin. ¿Cuál es la fórmula general para calcular el volumen de un prisma? he point \( M(-4,-6) \) is rotated \( 90^{\circ} \) clockwise around the origin. What are the coordinates of he resulting point, \( M \) ?
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