A student is standing next to a vertical flagpole. The top of the student's shadow coincides with the top of the flagpole's shadow as shown.
not to scale
The student is 62 inches tall. The student estimates that the distance from the flagpole
to the point where the student is standing is between 21 and 22 feet. The student also
estimates that the length of the student's shadow is between 7 and 7 feet.
Based on the given information, what are the least and greatest possible heights, in
feet, of the flagpole? Explain how you arrived at your answers.

Which of the following answers is 7/9 simplified? 7/9 2/9 11/9 2/7

The following hormone had their receptors in the cell membrane except a-insulin b-tsh c-gh d- cortisol

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.