5. \( \triangle_{\text {. }} A A B C=\triangle D E F \). Agar \( \angle A=52^{\circ}, \angle E=80^{\circ} \) va \( \angle C=48^{\circ} \) toping. bu uchburchaklarning qolgan burchaklarini 6. \( A A B C=\triangle L M N \). Agar \( A B=5, M N=8 \) va \( A C=9 \) polsa, bu uchburchaklarning qolgan tomonlarini loping.

4.45. In the triangle \( A B C \), the altitudes \( A D \) and \( C E \) are drawn; \( M \) is their intersection point. Find \( Z A M C \) given \( Z B A C=25^{\circ} \) and \( B C A 75^{\circ} \).

Un círculo tiene un radio de 5 cm. Si una secante corta este círculo creando segmentos de 3 cm y x cm fuera del círculo, expresa x en función de los radios del círculo.

\( \triangle A B C \) underwent a sequence of rigid transformations to give \( \triangle A^{\prime} B^{\prime} C^{\prime} \). Which transformations might have taken place? A. a reflection across the \( y \)-axis followed by a reflection across the \( x \)-axis B. a rotation \( 90^{\circ} \). clockwise about the origin followed by a reflection across the \( x \)-axis C. a rotation \( 270^{\circ} \) clockwise about the origin followed by a reflection across the \( x \)-axis D. a reflection across the \( x \)-axis followed by a reflection across the \( y \)-axis

(b) Write the inverse of the given statement. A figure is a parallelogram if and only if it is a quadrilateral. If a figure is a parallelogram, then it is not a quadrilateral. If a figure is not a quadrilateral, then it is a parallelogram. If a figure is a quadrilateral, then it is a parallelogram. If a figure is not a parallelogram, then it is not a quadrilateral. If a figure is not a quadrilateral, then it is not a parallelogram.

CHALLENGE PROBLEM You may want to talk this one over with a partner. You run around the rectangular school sports field three times. The area of the field is 2,450 square metres. The length of one side is twice that of the other. What are the dimensions of the sides? How far do you run? Explain your answers.