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ad-work [718]
3 years ago
7

Carl has 200 songs on his MP3 player. Of these songs, 24 are country songs.What percent of Carl's song are country songs?

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0
To solve this first do 24/200 to get 0.12.

Then multiply 0.12 by 100 to get 12 percent.
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Complete Question

The complete question is shown on the first uploaded image

Answer:

The arc PR is  \theta _{PR}  = 84

Step-by-step explanation:

A descriptive diagram of the diagram given in the question is shown on the first uploaded image

  In the circle tangent  \=  {M \= Q} , secant PE and  chord PF are drawn

given that  \theta _ {MPQ} = 102^o , \theta _{M} =  60^o

   The objective is to determine PR

From the diagram we see that MQ is a straight which implies that the the angle

      \theta_{NPM}  =  180 -102

      \theta_{NPM}  =  78^o

Now looking at triangle NMP we see that

          \theta _{MNP} =  180  -[ \theta_{NMP} + \theta _{NPM}]

         \theta _{MNP} =  180  - [60 + 78 ]

         \theta _{MNP} =  42 ^o

Now the measure of an inscribed angle is half the measure of its  arc intercepted, this statement is the inscribed angle theorem

 So with the knowledge

   Then

           \theta_{RNP} =  \frac{1}{2}  \theta_{PR}

  Looking at the diagram we see that

           \theta _{MNP} = \theta_{RNP} = 42 ^o

             42 = \frac{1}{2}  \theta _{PR}

              \theta _{PR}  = 2  *  42

               \theta _{PR}  = 84

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3 years ago
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