A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 4 years ago

please help

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So for 21, the theorem is that when two chords intersect inside of a circle, the products of the two segments on one of the chords is congruent to the product of the segments oof the other chord. This means that 6 times 3 is equal to 2x. That is that same as 18 = 2x. Therefore, x=9. For 22, when two sectants intersect outside of a circle, the formula is that the outside portion of a sectant multiplied by the full length of the same segment is equal to the same on the other sectant. It'll be easier to show a specific example. For 22, 6 multiplied by (6+8) equals 4 multiplied by (4 + x). This is the same as 6 times 14 = 4 times (4 + x). 6 times 14 equals 84, so 84 = 4 times (4 + x). 4 times (4 + x) equals 16 + 4x . Then you put that together to be 84 = 16 + 4x. You can subtract 16 from both sides to get 68 = 4x. If you divide both sides by 4, you get 17 = x. In equations, this would be; 6(6+8)=4(4+x) then 6(14)=4(4+x) then 6(14)=16+4x then 84=16+4x then 68=4x then 17=x. For 23, when a tangent intersects a sectant outside of the circle, you need to square the tangent length and that will be equal to the product of the outside section of the sectant and the entire length of the sectant. So for 23, x squared = (4 times 9). Therefore, x squared = 36. Then you would find the square root of both sides, and the square root of 36 is equal to 6, so x=6. I hope that helped!!

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.