AADE and AABC are similar. Which best explains why the slope of the line between points A and D is the same as the slope between points A and B?
The triangles are similar, so the sides have equal lengths.
Therefore, AD DB, so the slope of AD is the same as the
slope of AB
Points A, D and Bare on the hypotenuses of similar triangles.
Therefore, AD AB, so the slope of AD is the same as the
slope of AB
D
The triangles are similar, so the sides are proportional:
DE
Ac. Therefore, the slope of AD is the same as the slope
of AB
AN
The triangles are similar, so the sides are proportional:
AE AC and DE BC. Therefore,
DE INC
UN Ac. so the slope of
AD the same as the slope of AB.

1. a driveway has a 15° grade. if the driveway is 40 meters long, how much does the driveway rise? (nearest tenth of a meter) 2. a person located 4 miles from a rocket launch site sees a rocket at an angle of elevation of 32°. at that moment, how high is the rocket above the ground? (nearest tenth of a mile) 3.an airplane approaches an airport landing strip with an angle of depression of 12°. if the airplane is flying at an altitude of 20,000 feet, find the distance on the ground that the plane will need to land. (nearest 1,000 feet) 4.two buildings are located on opposite sides of the street, 40 meters apart. the angle of elevation from the top of the shorter building to the top of the taller building is 53°. if the taller building is 300 meters tall, what is the height of the shorter building? (nearest meter) 5.george is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

Create a real-life situation and create a system and show how it might be modeled algebraically with a system of equations (or inequalities) show all work include a few sentences explaining the situation, your variables of choice and what each represents, and how you would set it up and solve it algebraically. !

Yosef can eat 21 jamuns while rose can eat just 15 . complete the blank. yosef can eat % more jamuns than rose.