There is a property that states that vertical angles are congruent with each other. By definition, vertical angles are opposite angles when two intersecting lines are drawn. From the figure, angle (3y - 30) is equal to angle (2x + 4). But first, let's determine x. One revolution is equal to 360°. So,
360 = 2(2x + 4) + 2(4x - 6)
Solving for x,
x = 91/3
Now, solving for y:
3y - 30 = 2x + 4
3y - 30 = 2(91/3) + 4
y = [2(91/3) + 4 + 30]/3
y = 31.56
Given the following which is the mean and standard deviation of
the dune’s movement over one year and need to find out what the ten year mean
and the standard deviation will be.
The ten-year mean is ten times the one year mean or 110 feet per
decade. The ten-year standard deviation is somewhat more complicated. Multiple independent
trials accumulate standard deviation as the square root of the number of trials
since an unusually high level of movement ten years in a row. The decade is
going to be 2 feet per year x square root of ten will result to 6.32 feet.
The answer will to question A. will be:
<span> 90 < 110 + z (6.32 feet)</span>
<span> -20 < z (6.32 feet)</span>
<span> z > - 3.16</span>
<span>By using the z table, it shows the probability of 0.9992. This
result shows that as 90 feet is lesser than the mean travel that is expected
over decade. </span>
-2 x 1 y = -1
Find the slope of this line
make y the subject
1 y = 2 x -1
Divide by 1
y = 2 x -1
Compare this equation with y=mx+b
slope m = 2
The slope of a line parallel to the above line will be the same
The slope of the required line will be 2
m= 2 ,point ( 2 , -2 )
Find b by plugging the values of m & the point in
y=mx+b
-2 = 4 + b
b= -6
m= 2
Plug value of the slope and b in y = mx +b
The required equation is y = 2 x -6
Answer:
-2
Step-by-step explanation:
12=2+7d
7d= -12-2
7d= -14
d= -14
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7
d= -2
Answer:
180 degree
Step-by-step explanation:
180 degee
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