When two lines intersect,
four angles are formed. Each opposite pair are called vertical angles and are always
congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.
Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure.
</span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span>
</span>
<span>
Properties of linear pair includes:<span>
i.) Each pair of linear angles are
supplementary (add to 180°).</span></span><span /></span>
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Answer:
a) The model for the sales of Garmin is represented by
.
b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
Step-by-step explanation:
a) The model for the sales of Garmin is obtained by integration:

(1)
Where
is the integration constant.
If we know that
and
, then the model for the sales of Garmin is:


The model for the sales of Garmin is represented by
.
b) The average sales of the Garmin from 2008 through 2013 (
) is determined by the integral form of the definition of average, this is:
(2)
![\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cint%5Climits%5E%7B13%7D_%7B8%7D%20%7B%5Cleft%5B-%5Cfrac%7B81%7D%7B2500%7D%5Ccdot%20t%5E%7B3%7D%20%2B%20%5Cfrac%7B267%7D%7B250%7D%5Ccdot%20t%5E%7B2%7D-11.9%5Ccdot%20t%20%2B%2047.112%20%20%5Cright%5D%7D%20%5C%2C%20dt)
![\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]](https://tex.z-dn.net/?f=%5Cbar%20S%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%5Cleft%5B-%5Cfrac%7B81%7D%7B10000%7D%5Ccdot%20%2813%5E%7B4%7D-8%5E%7B4%7D%29%20%2B%5Cfrac%7B89%7D%7B250%7D%5Ccdot%20%2813%5E%7B3%7D-8%5E%7B3%7D%29%20-%5Cfrac%7B119%7D%7B20%7D%5Ccdot%20%2813%5E%7B2%7D-8%5E%7B2%7D%29%20%2B47.112%5Ccdot%20%2813-8%29%20%20%20%5Cright%5D)


The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
X=41 Just S=ubract The 4 from 37 Then Subract X From X And Divide The Whole Thing By -1
478×427= 204,106cm
204,106cm - 2041.06m
204,106cm - 20.411m2