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Home Question Bank Math Geometry Archive 2024 December 10

Geometry Questions from Dec 10,2024

Browse the Geometry Q&A Archive for Dec 10,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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26. Evaluate Richard drew the floor plan of his dream house. On his \( \mathrm{scall}_{\text {(35) }}^{\text {drawing of a kitchen, he drew }} 6 \mathrm{in} \). segment to represent a distanco of 30 ft . a. Each inch in the drawing represents what distance in the house? b. If Rick's kitchen is to measure 10 ft by 20 ft , what are the dimensions of the floor plan of the kitchen? 5. Determine la altura a la que se encuentra recostada una escalera de 13 m en un edificio si la distancia del pie a la escalera y el edificio es de 5 m . Write the converse of the statement, "If a transversal intersects a set of parallel lines, the alternate interior angles are congruent." For the equation \( x^{2}+y^{2}-4 x-8 y-16=0 \), do the following. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any. (a) The center is (Type an ordered pair.) Define la diferencia entre un arco mayor y un arco menor en un círculo. 5. Determine la altura a la que se encuentra recostada una escalera de 13 m en un edificio si la distancia del pie a la escalera y el edificio es de 5 m . Exercice 23 1. Sur une droite (xy), construis trois points \( M, N \) et \( P \) tels que \( M \in[N x] \), \( P \in[M y) \) et \( N \in[P x] \). 2. Construis les points \( H \) et \( K \), sachant que : \( -H \in[N x] \) et \( N H=M P \); \( -K \in[M P) \) et \( M K=P H \). 1 In the triangle ABC , if \( \mathrm{AB}=3 \mathrm{~cm} \). and \( \mathrm{BC}=5 \mathrm{~cm} \). , then \( \mathrm{AC} \in] \ldots \ldots \ldots, \ldots \ldots \ldots \) 1. Which statement below does not describe a characteristic of a coordinate plane? In Quadrant II, the \( x \)-values are negative, and the \( y \)-values are positive. The \( x \) - and \( y \)-axes divide the coordinate plane into four quadrants. The \( x \)-axis and the \( y \)-axis intersect at a \( 90^{\circ} \) angle. In Quadrant \( I I I \), the \( x \)-values are positive, and the \( y \)-values are negative. 1. Consideremos el haz de planos de ecuación \( \alpha(2 x-y+k)+\beta(z-x-y)=0 \) con \( \alpha, \beta, k \in \mathbb{R} \). (a) Hallar, si existe, un plano en el haz tal que la proyección de la recta \( r: x-2=\frac{1-y}{2}=z+3 \) sobre el mismo sea \( (2,1,-3) \).
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