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Home Question Bank Math Geometry Archive 2025 January 19

Geometry Questions from Jan 19,2025

Browse the Geometry Q&A Archive for Jan 19,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Lessons \( 1,2,3,4 \) Test Due \( 03 / 23 / 25 \) 25 points possible Answereds \( 16 / 25 \) Question 17 How many square feet of carpet are needed to cover the floor of a rectangudar room 16 it, by in fit? If Ment Question 6. The height of a triangular flower garden is 6 feet more than the length of the base. The area of the garden is 8 square feet. a) Draw a diagram to represent the length of sides of the triangle. b) Find the dimensions of the flower garden. Exercice 44: Soit \( \Gamma \) l'ensemble des points \( M \) du complexe dont l'affixe \( z \) vérifie \( :|z-(2-i)|= \), . 1. On note \( A \) le point d'affixe \( 2-i \). a) Démontrer que : \( M \in \Gamma \) si, et seulement si, \( A M=\sqrt{2} \). b) En déduire l'ensemble \( \Gamma \). Représentez \( \Gamma \). 2. Déterminer d'une autre façon l'ensemble \( \Gamma \) en lisant la forme algébrique de \( z=x+y i \), où a sont réels. 5. The length of a rectangular flower garden is 5 feet more than its width. The area of the garden is 104 square feet. a) Draw a diagram to represent the length of sides of the rectangle. Question 17 How many square feet of carpet are needed to cover the floor of a rectangular room 14 ft . by 12 ft ? Check Answer \( \mathrm{ft}^{2} \) \( \begin{array}{l}\text { 17. What is the measure of the smaller angle } \\ 45^{\circ} \text { slices. } \\ \text { What is the } \\ \text { at is left? } \\ \text { A } 60^{\circ} \\ \text { B } 90^{\circ} \\ \text { C } 120^{\circ} \\ \text { D } 180^{\circ}\end{array} \) 2. The points \( A(2,3), B(1,8), C(6,11) \) and \( D(3,6) \) are the vertices of a quadrilateral. a. Find the gradients of \( A B \) and \( D C \). What does this tell you about the lines \( A B \) and \( D C \) ? b. Find the equation of the diagonal joining \( B \) to \( D \). c. The diagonal \( A C \) has the equation \( y=x+5 \). Find the point of intersection of the two diagonals \( A C \) and \( B D \). d. Find the midpoint of \( A C \) and compare this point with the point of intersection of the diagonals \( A C \) and \( B D \). What is the converse of the following statement? If a parallelogram has one right angle, then the remaining three angles are also right angles. If a quadrilateral has four right angles, then it is a parallelogram. If a parallelogram has three right angles, then the remaining angle is also a right angle. If a figure is a parallelogram, then it has four right angles. If a parallelogram has one right angle, then the remaining three angles are acute angles. A quadrilateral has a pair of opposite sides that are parallel. If one side measures \( 5 x-8 \) units and the second side measures \( 2 x+13 \) units, what value of \( x \) will make the figure a parallelogram? 25 21 2 d. Find the midpoint of \( A C \) and compare this point with the point of intersection of the diagonals \( A C \) and \( B D \).
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