When constructing an angle bisector, why do the arcs intersect?

Adiverr from the university of florida women’s swimming and diving team is competing in the ncaa zone b championships

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

Emily is entering a bicycle race for charity. her mother pledges $0.90 for every 0.75 mile she bikes. if emily bikes 18 miles, how much will her mother donate?