Arectangle has an area of 80 square yards. the length of the rectangle is 6 yards longer than twice its width. find the length and width. recall that the area of a rectangle is

The measures of the legs of a right triangle are 15m and 20m . what is the length of the hypotenuse

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Amovie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. the columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor. viewer's age group excellent good average poor marginal totals 16-25 52 42 12 7 113 26-35 33 50 5 9 97 36-45 58 12 28 34 132 which of these observations is supported by the data in the table? note: a rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie. a. the majority of the audience in the 26-35 age group disliked the movie. b. among those who liked the movie, the majority were in the oldest age group. c. among those who disliked the movie, the majority were in the 26-35 age group. d. the majority of the audience in the 16-25 age group liked the movie. e. the majority of the audience from all the age groups disliked the movie