4. The diagonals of a rhombus are .......... \( \begin{array}{llll}\text { (a) Perpendicular and not equal in length. (b) Equal in length and not perpendicular } \\ \text { (c) Equal in length and perpendicular, } & \text { (d) Neither equal in length nor perpendicular. } \\ 5 \text { If } 8 x=24 \text {, then what is the value of } 3 x \text { ? } \\ \begin{array}{llll}\text { (a) } 3 & \text { (b) } 6 & \text { (c) } 9 & \text { (d) } 12\end{array} \\ \text { is The measure of the central angle of the circular sector which represent } 35 \% \text { of a circle } \\ \begin{array}{llll}\text { (a) } 35^{\circ} & \text { (b) } 108^{\circ} & \text { (c) } 120^{\circ} & \text { (d) } 126^{\circ}\end{array}\end{array} \).

(6). Odredite geometrijski niz u kojem vrijedi: \( a_{1}+a_{2}=-6, a_{2}-a_{4}=\frac{8}{3} \)

Complete parts a and b. a. If triangle \( A B C \) is similar to triangle \( D E F \) and \( \frac{A B}{D E}=\frac{1}{3} \), what is the ratio of the heights of the triangles? b. What is the ratio of the areas of the two triangles? a. The ratio of the height of triangle \( A B C \) to the height of triangle \( D E F \) is \( \frac{1}{8} \). (Type an integer or a simplified fraction.) b. The ratio of the area of traingle \( A B C \) to the area of triangle \( D E F \) is \( \frac{1}{64} \). (Type an integer or a simplified fraction.)

Exercice 1 Un homme mesurant \( 1,75 \mathrm{~m} \) se tenant droit aux alentours de la tour Eiffel se place de sorte que rombre lui passe juste au -dessus de la tête. Son ombre tombe a \( 2,7 \mathrm{~m} \) de lui et celle-di se trouve à 500 m du centre de la tour Eiffel. Quelle est la hauteur de la tour Eiffel ? (arrondie au metre pres)

Resuelva el siguiente problema relacionado con planos en el espacio utilizando los conceptos teóricos correspondientes | A. Determine la ecuación normal del plano que contiene los puntos: \( P(2,1,-4), Q(-5,4,3) \) y \( R(-2,6,3) \).

2. \( m=12 \) Find the measure of each exterior angle of a 15 -gon,