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olchik [2.2K]
3 years ago
8

Triangle A B C extended to both sides from corners A and B. D is a point closer to point A on the extended line. Angle C is loca

ted on the top. The measure of angle C is 80º, the measure of ∠CBA is 20º. What is m∠CAD? a) 20º b) 80º c) 100º d)110º

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

m

Step-by-step explanation:

Triangle A B C extended to both sides from corners A and B. D is a point closer to point A . Angle C is located on the top of the triangle.

The diagram is attached below

In a triangle , external angle = sum of two opposite interior angles

so  m

m

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The city of Oakland is experiencing a movement of its population to the suburbs. At present 85% of the total population lives in
Oxana [17]

Answer:

A. \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]

B.   (0.85    0.15)

C. 79.2% population in the city while 20.8% population in the suburb

Step-by-step explanation:

(a) The transition matrix for the information is

                C        S

            \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]

(b) the probability vector for the information is

         (\frac{85}{100}  \ \   \frac{15}{100} )

and this gives us

         (0.85    0.15)

(c) we simply multiply the above  two matrices to find the percent of the population can be expected to be in each category after one year after

\left[\begin{array}{cc}0.85&0.15\end{array}\right] \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right] = \left[\begin{array}{cc}0.792&0.208&\end{array}\right]

in the city there are 79.2% while in the suburb, there are 20.8%

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3 years ago
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