Julie is a math tutor. she charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. when the number of hours (h) that julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (a) that julie earns in dollars is . if julie earns $410 tutoring one student, the total number of hours she spent tutoring the student is .

The mean of a set of data is -3.82 and its standard deviation is 2.31. find the z score for a value of 3.99.

Micheal is 4 times as old as brandon and is also 27 years older than brandon. how old is micheal

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.