dannyflowerheart dannyflowerheart
  • 22-05-2021
  • Mathematics
contestada

In ADEF, the measure of ZF=90°, DF = 40, ED = 41, and FE = 9. What ratio
represents the secant of ZE?
E
41
9
D
40

In ADEF the measure of ZF90 DF 40 ED 41 and FE 9 What ratio represents the secant of ZE E 41 9 D 40 class=

Respuesta :

eudora eudora
  • 27-05-2021

Answer:

sec(∠F) = [tex]\frac{41}{9}[/tex]

Step-by-step explanation:

In triangle EFD,

m∠F = 90°

Adjacent side of ∠E = EF = 9 units

Opposite side of ∠E = DF = 40 units

Hypotenuse = DE = 41 units

For secant of ∠E ,

sec(∠E) = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{41}{9}[/tex]

Therefore, [tex]\frac{41}{9}[/tex] is the ratio of secant of ∠F.

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