Question

1. which of the following is not an application of angle bisectors? a. placing a fountain at the center of a triangular park b. determining the height of a building c. precision in robotics alignment d. ensuring symmetry in art 14. if the slope of a line through (0,0) and (5,10) is calculated, what would it be? a. 1.5 b. 0.5 c. 2 d. 2.5

Explanation:

Step1: Recall angle - bisector applications

Angle bisectors are used in finding in - centers of triangles (placing a fountain at the center of a triangular park), in precision work like robotics alignment for equal - angle divisions, and in art for symmetry. But not for determining building height.

Step2: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(5,10)$. So $m=\frac{10 - 0}{5 - 0}=\frac{10}{5}=2$.

Answer:

1. B. Determining the height of a building
2. C. 2