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mash [69]
2 years ago
14

A student drew a circle and two secant segment. He concluded that if PQ ~= PS, Then QR ~= ST. Do you agree with the student’s co

nclusion? Why or why not?

Mathematics
1 answer:
9966 [12]2 years ago
6 0

Answer:

  Yes

Step-by-step explanation:

You can get there a couple of ways. One makes use of the secant rules that tell you ...

  PQ × PR = PS × PT

Substituting for PR and PT, you have ...

  PQ × (PQ + QR) = PS × (PS + ST)

  PQ² + PQ×QR = PS² + PS×ST

Substituting PQ for PS everywhere, we have ...

  PQ² + PQ×QR = PQ² + PQ×ST

Dividing by PQ gives ...

  PQ + QR = PQ + ST

and subtracting PQ leads us to the conclusion ...

  QR = ST

_____

Another way to look at it is to draw the chord QS. Then ΔQPS is an isosceles triangle, and the perpendicular bisector of QS bisects ∠P and also goes through the circle center. Then the figure is symmetrical about that diameter secant, making QR ≅ ST.

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telo118 [61]

Answer:

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Step-by-step explanation:

Since the interest is calculated on the new balance every year.

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where, A =Amount after t years

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2 years ago
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At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all
ankoles [38]

Complete Question

A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50

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This z-score can be mathematically represented as

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2 years ago
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7 0
1 year ago
Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.
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