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3 years ago

if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

Mathematics

1 answer:

pochemuha3 years ago

8 0

9514 1404 393

Answer:

cd = 25/3
d = 5/6

Step-by-step explanation:

The inverse variation described can be either of ...

c = k/d

d = k/c

Either way, the equation can also be written as ...

cd = k

For the given values of c and d, the value of k is ...

(5)(5/3) = k = 25/3

So, the model can be written as ...

cd = 25/3

d = (25/3)/c

For c=10, the value of d is ...

d = (25/3)/10 = 25/30

d = 5/6

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3 years ago

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Answer:

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Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

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Answer:

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Step-by-step explanation:

The transversal in this geometry is line BH. The angles marked 36° are on the same side of the transversal, and on the same sides of the intersecting lines NB and DH. That makes these congruent angles "corresponding" angles.

Segments NB and DH are parallel by the converse of the corresponding angles postulate.

Additional comment

The corresponding angles postulate tells you corresponding angles are congruent where a transversal crosses parallel lines. Its converse tells you the lines are parallel if the corresponding angles are congruent.

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