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3 years ago

Given: circle k(O), ED diameter, m∠OEF=32°, m EF=(2x+10)°. Find: x

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

The value of x is $53\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

$m$

we have

$m$

substitute

$32\°=\frac{1}{2}(arc\ DF)\\ arc\ DF=64\°$

step 2

Find the measure of x

we know that

$arc\ DF+arc\ EF=180\°$ ---> is a semi circle

we have

$arc\ DF=64\°\\ arc\ EF=(2x+10)\°$

substitute

$64\°+(2x+10)\°=180\°\\ 2x\°=180\°-74\°\\ 2x\°=106\°\\ x=53\°$

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2 years ago

A large but sparsely populated county has two small hospitals, one at the south end of the county and one at the north end. The

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Answer:

Step-by-step explanation:

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f(x,y) = P((X=x,Y=y) ,

and given that the random variables are independent the joint pmf isbgiven by:

f(x,y) = fX(x) .fY(y) and this gives the table (see attachment)

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f(x,y) = sum{(P(X ≤ 1, Y ≤ 1) }

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Now we find

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Hence f(x,y) = fX(x) .fY(y), the events are independent

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3 years ago

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3 years ago

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Answer:

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