I'm guessing that in the book or the homework sheet, they gave you
the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.
If you have two points on the line, then the slope of the line is
(the change in 'y') divided by (the change in 'x') .
If the two points are (a, b) and (c, d), then the slope of the line is
(d - b) divided by (c - a) ,
and you have to find the value of 'd' that makes that whole expression
equal to 1/2.
(d - b) / (c - a) = 1/2
Multiply each side by (c - a): (d - b) = 1/2(c - a)
Add 'b' to each side: d = 1/2(c - a) + b
If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.
The z-score of a certain data point in the given statistical data is calculated through the equation,
z-score = (x - m) / sd
where x is the data point, m is the mean and sd is the standard deviation.
Substituting the known values,
z-score = (51.8 - 52.3) / 1.8
z-score = -0.277
Rounding the answer to the nearest tenth will give an answer of -0.3.
Answer:
<em>180/7 deg and 1080/7 deg</em>
Step-by-step explanation:
The measures of two supplementary angles add to 180 degrees.
One angle measures x.
The supplement measures 6x.
The sum of the measures is 180 deg.
x + 6x = 180
7x = 180
x = 180/7
6x = 1080/7
