151,812 views
1 vote
1 vote
PLEASE HELP DO SOON!!!

What is the length of CD?
What is the length of AB? Round answer to the nearest hundredth.

PLEASE HELP DO SOON!!! What is the length of CD? What is the length of AB? Round answer-example-1
User Jeff Maes
by
2.6k points

1 Answer

10 votes
10 votes

Answer:

CD=14

AB=9.17

Explanation:

to understand this

you need to know about:

  • circle

let's solve:

according to the question

  • DF×DG=CD×DE
  1. substitute the value of DF,DG, and DE:3×4=CD×2
  2. simplify multiplication:12=2CD
  3. simplify substraction:2CD/2=12/2
  4. therefore CD=6

SECOND QUESTION:

first find the measure of BE

  • 6+2+6
  • 12+2
  • 14

according to the question

  • AB²=BE×BC

square both sides


  • \sqrt{AB^(2)}=√(BE* BC)

  • AB=√(BE* BC)

substitute the values of BE and BC


  • AB = √(14 * 6)

simplify multiplication:


  • √(84)

simplify redical:

  • 9.17
User Jon Glazer
by
2.8k points