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Home Question Bank Math Geometry Archive 2024 December 16

Geometry Questions from Dec 16,2024

Browse the Geometry Q&A Archive for Dec 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the perimeter of a rectangle that has a length of 8 meters and a width of 5 meters. F. 2 meters G. 3 meters H. 26 meters J. 30 meters K. 40 meters 11. The sides of a square garden are 8 feet long. a. You enlarge the garden to create a \( 25 \% \) increase in the length of each side. Find the new length of the sides. b. Find the percent of change in the perimeter of the garden. Round to the nearest tenth of a percent if necessary. c. Find the percent of change in the area of the garden. Round to the nearest tenth of a percent if necessary. 11. The sides of a square garden are 8 feet long. a. You enlarge the garden to create a \( 25 \% \) increase in the length of each side. Find the new length of the sides. Plot the ordered pair ( \( 2,-2 \) ). State in which quadrant or on which axis the point lies. Plot the ordered pair on the graph to the right. In which quadrant, or on which axis, does the point lie? on the \( x \)-axis IV III on the \( y \)-axis 85. Building Lots. A lot for sale in New York City is in the shape of a right triangle, as shown below. The side not bordering a street is 25 ft long. One of the other sides is 5 ft longer than the remaining side. Find the lengths of the sides. Realiza los trazos que se indican y responde. i. Traza un triángulo escaleno, cuyos tres ángulos sean agudos. ii. Traza la mediatriz de cada uno de sus lados. iii. Indica el punto de intersección de las tres mediatrices (circuncentro). iv. Traza una circunferencia con centro en el punto de intersección de las mediatrices, que pase por los tres vértices del triángulo. v. Repite los pasos anteriores; inicia con un triángulo rectángulo, es decir, un triángulo que tenga un ángulo recto. vi. Repite los pasos anteriores; inicia con un triángulo escaleno que tenga un ángulo obtuso. vii. Compara tus resultados con tus compañeros. viii. ¿En dónde está ubicado el punto de intersección de las mediatrices en cada caso? Determine the relationship between the two triangles and whether or not they can be proven to be congruent. Answer Attempt t out of 2 The two triangles are related by Represent and Connect Why is the order important when naming or graphing the coordinates of a point? 26. How are the \( x \)-axis and the \( y \)-axis related on a coordinate grid? 4. Скласти рівняння гіперболи, фокуси якої розташовані на осі абсцис симет- рично відносно початки координат, знаючи, крім того, що: а) рівняння асимптот \( у= \pm \frac{4}{3} \mathrm{x} \) і відстань між фокусами \( 2 \mathrm{c}=20 \); б) відстань між директрисами рівна \( 22 \frac{2}{13} \) і відстань між фокусами \( 2 \mathrm{c}=26 \); в) відстань між директрисами рівна \( \frac{32}{5} \) і вісь \( 2 \mathrm{~b}=6 \).
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