maxlarson
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Hey! I have some geometry questions today!

Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!

Anyways, please show all of you work and explain your thinking! Good luck!

Hey I have some geometry questions today Please only answer if you know the answer and can support it by showing you work If you have a comment or do not know t class=

Respuesta :

mhanifa

Answer:

  • 29
  • 6

Step-by-step explanation:

Question 1

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.

Then the radius is found using Pythagorean theorem:

  • r = [tex]\sqrt{20^2 + 21^2}[/tex] = [tex]\sqrt{841}[/tex] = 29

Question 2

Use the intersecting secants theorem: and solve for x:

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

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