Given:     and  
prove:   slope of    × slope of    = -1
statementsreasons1.  
      is similar to  given2.property of similar triangles3.  slope of  
      slope of  definition of slope4.  slope of    slope of  multiplying the slopes5.  slope of    slope of  substitution property of equality6.  slope of    slope of    = -1simplifying the right side
the table shows the proof of the relationship between the slopes of two perpendicular lines.  what is the missing statement in  step 2?
a. 

b. 

c. 

d. 


Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)

1. why is a frequency distribution useful? it allows researchers to see the "shape" of the data. it tells researchers how often the mean occurs in a set of data. it can visually identify the mean. it ignores outliers. 2. the is defined by its mean and standard deviation alone. normal distribution frequency distribution median distribution marginal distribution 3. approximately % of the data in a given sample falls within three standard deviations of the mean if it is normally distributed. 95 68 34 99 4. a data set is said to be if the mean of the data is greater than the median of the data. normally distributed frequency distributed right-skewed left-skewed

The seventh-grade students at charleston middle school are choosing one girl and one boy for student council. their choices for girls are michaela (m), candice (c), and raven (r), and for boys, neil (n), barney (b), and ted (t). the sample space for the combined selection is represented in the table. complete the table and the sentence beneath it.