Question 1 (20p) Soit un hexagone régulier ABCDEF inscrit dans un cercle. Montrer que : a) la diagonale \( [\mathrm{BF}] \) est perpendiculaire au côté \( [\mathrm{BC}] \). b) les diagonales \( [\mathrm{AC}] \) et \( [\mathrm{AE}] \) coupent en trois parties égales la diagonale \( [\mathrm{BF}] \).

555. Длина прямоугольника \( 7 \frac{3}{5} \) см. Его периметр равен периме квадрата со стороной 6 см. Найдите ширину прямоуго ника.

What is the definition of an inscribed circle in a triangle?

\[ g: \vec{x}=\left(\begin{array}{l}3 \\ 1 \\ 4\end{array}\right)+t\left(\begin{array}{c}2 \\ -7 \\ 5\end{array}\right) \quad h: \vec{x}=\left(\begin{array}{c}5 \\ -6 \\ 9\end{array}\right)+k\left(\begin{array}{l}1 \\ 1 \\ 1\end{array}\right) \] (1) Zeigen Sie, das die Geraden sich schneiden. (2) Geben Sie den Schnittpunkt an. (3) Prüfen Sie, ob sie senkrecht aufeinander stehen. b) Formulieren Sie in mathematischer Schreibweise mithilfe des

A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm . What is the height of the cone? A. 12 cm B. 16 cm D. 36 cm D. 48 cm .

The cylindrical sleeve shown above was made according to all the specifications on its drawing. However, it is found to be off- center. What type of geometric tolerance might this part fall outside of?Concentricity Cylindricity Straightness Limit Angularity