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anygoal [31]
3 years ago
14

A. 12 b. 14 c. 8 d. 6

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

  d.  6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

  PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

  7×12 = (3x)(7x)

  4 = x² . . . . . . . . . divide by 21

  2 = x . . . . . . . . . . take the square root

__

  PD = 3x = 3·2

  PD = 6

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We must follow "PEMDAS" rules for "order of operations."

Multiplication and division must be done before addition and subtraction:

40q = p + (p/3) + (p/9) + p/27

The LCD of this expression is 27. 1, 3 and 9 all divide evenly into 27. The equation thus becomes:

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Adding up the four "p" terms, we get 40p. Then 27(40q) = 40p.

Simplifying thru division by 40, 27q = p. Alternatively, p = 27q.

Find the ratio of p to q by dividing both sides by q: (p/q) = 27 (answer)

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Answer:

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Step-by-step explanation:

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