Respuesta :

Nayefx

Answer:

CD=14

AB=9.17

Step-by-step 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

  • [tex]\sqrt{AB^{2}}=\sqrt{BE\times BC}[/tex]
  • [tex]AB=\sqrt{BE\times BC}[/tex]

substitute the values of BE and BC

  • [tex]AB = \sqrt{14 \times 6} [/tex]

simplify multiplication:

  • [tex] \sqrt{84} [/tex]

simplify redical:

  • 9.17

Otras preguntas