Patty is building a rope ladder for a treehouse. She needs two 4-foot pieces of rope for the sides of the ladder. She needs 6 pieces of rope, each 15 inches long, for the steps. How many feet of rope does Patty need to make the ladder? Write your answer as a mixed number and as a mixed measure in feet and inches.

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol