5. to get to the library from his house, robert biked 6 kilometers due east and then
8 kilometers due south. on the way back, he cut across a field, taking the shortest
possible route home.
how far did robert bike on the round-trip?
home
6 km
8 km
library

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The length of the hypotenuse can be found with the Pythagorean Theorem.

.

The length of the round-trip will equal to the sum of the length of the three segments: .

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

it has the same slope and a different y-intercept

hope this : )