Date le rette \( r:\left\{\begin{array}{l}2 x+y+3 z=1 \\ x+y+2 z=-3\end{array}\right. \) \( s:\left\{\begin{array}{l}x=t+2 \\ y=t+1 \quad \text { dire se: } \\ z=-t-3\end{array}\right. \) Answer \( \begin{array}{ll}\text { a. sono parallele } \\ \text { b. sono incidenti }\end{array} \) c. sono sghembe

S, ASA, and AAS Congruence two triangles are congruent. If they are, state how you know.

13. Sean el plano \( \pi \equiv 2 x+k y+z-6=0 \) y la recta \( r \equiv\left\{\begin{array}{l}x=2 t \\ y=2+6 t \\ z=2-4 t\end{array}\right. \) a) ¿Para qué valor de \( k \) la recta es paralela al plano? b) Para \( k=2 \), halla el ángulo que forman el plano \( \pi y \) la recta \( r \).

11) Which of the points \( (x, y) \) does NOT lie on the unit circle? a) \( O P(1,0) \) b) \( Q\left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right) \) c) \( O R\left(\frac{1}{3}, \frac{2}{3}\right) \) d) \( \bigcirc s\left(-\frac{3}{5},-\frac{4}{5}\right) \)

Problema 3 Un triángulo rectángulo tiene una hipotenusa de 13 cm y una altura relativa a ella de 5 cm . Encuentra las proyecciones de los catetos sobre la hipotenusa.

A ladder is leaning against a wall. If the base of the ladder is 7 meters from the wall and the ladder is 25 meters long, how high up the wall does the ladder reach?