3. En un triángulo rectángulo, uno de los ca- tetos mide 5 centímetros más el doble del otro. Si la hipotenusa mide 85 centímetros, ¿cuánto mide cada uno de los catetos?

Directions: Answer the following word problems by making a diagram and including units in your answer. Show all your work to receive full credit. 16. LADDER A 10-foot ladder is leaning against a house. The base of the ladder is 5 feet from the side of the house. At what height does the ladder touch the house? Round to the nearest tenth if necessary.

Directions: Determine whether a triangle with sides of the given lengths is a right triangle. Justify your answer and show all work receive full credit. 14.60 feet, 80 feet, 100 feet \( \quad \mathrm{C}^{2}=9^{2}+t^{2} \)

11 Find the unknown angles in the figure and place the correct value into the box. Assume that the lines are parallel. DRAG \& DROP THE ANSWER Note: Use CTRL+D to drag the option via keyboard

\( \begin{array}{lccc}\text { El área } & \text { del } & \text { paralelogramo } \\ \text { formado } & \text { por } & \text { el } & \text { vector } \\ \vec{A}=3 i- & j-2 k & \text { y } & \text { el } \\ \text { vector } & \vec{B}= & -2 j-3 k \\ \text { equivale a } & & \end{array} \)

Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. \[ \frac{x^{2}}{49}+\frac{y^{2}}{4}=1 \]