The shadow cast by an object on a sunny day is directly proportional to the height of the object. If a person 66 inches tall casts a shadow 67 inches long, how tall is a tree which casts a shadow 42 feet in length? Round to the nearest hundredth if necessary.

2x + 1 < 5 solve the following inequality. then place the correct number in the box provided.

A, b, c, and d have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. which sentence about the points is true? a. a, b, c, and d lie on the same line. b. and are perpendicular lines. c. and are parallel lines. d. and are intersecting lines but are not perpendicular. e. and are parallel lines.

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?