Four lines labeled q, m, j, and k are shown. lines q and m are parallel lines, and lines j and k are transversals that cut lines q and m. , two, three, four, five, six, and seven. lines j and k intersect to form the angles labeled one hundred ten degrees, and angle one. angle two and angle three are corresponding angles formed by line k. angle five and angle seven are corresponding angles formed by line j. angle four is an exterior angle of line m, and angle six is an interior angle of line q. an exterior angle formed by line k and line q is labeled one hundred fifteen degrees. what is the measure, in degrees, of angle 1? show or explain how you got your answer. what is the measure, in degrees, of angle 3? show or explain how you got your answer. what is the measure, in degrees, of angle 5? show or explain how you got your answer. what is the measure, in degrees, of angle 6? show or explain how you got your answer.

What is the multiple zero and multiplicity of f(x) = (x ? 3)(x ? 3)(x + 5)? multiple zero is 3; multiplicity is 2 multiple zero is 5; multiplicity is 1 multiple zero is ? 5; multiplicity is 1 multiple zero is ? 3; multiplicity is 2

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.