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Zarrin [17]
2 years ago
12

Hey! I have some geometry questions today!

Mathematics
1 answer:
Volgvan2 years ago
8 0

Answer:

  • 29
  • 6

Step-by-step explanation:

<h3>Question 1</h3>

It is assumed the chords have equal length: PQ = SR

If the vertexes connected with the center, the both chords will form a right triangle, with the hypotenuse being the radius.

<u>Then the radius is found using Pythagorean theorem:</u>

  • r = \sqrt{20^2 + 21^2} = \sqrt{841} = 29
<h3>Question 2</h3>

<u>Use the intersecting secants theorem: and solve for x:</u>

  • FS*FT = FP*FQ
  • 4(4 + x) = 5(5 + 3)
  • 16 + 4x = 40
  • 4x = 24
  • x = 6
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