nlittrell1 nlittrell1
  • 16-06-2020
  • Mathematics
contestada

∆ACB ∼ ∆FED. What is the value of x? Have a wonderful day Select one: a. 5 b. 4 c. 4.2 d. 4.5

ACB FED What is the value of x Have a wonderful day Select one a 5 b 4 c 42 d 45 class=

Respuesta :

eudora eudora
  • 20-06-2020

Answer:

Option (A)

Step-by-step explanation:

It has been given in the question,

ΔACB ~ ΔFED

Then the corresponding sides of the triangles will be in the same ratio.

[tex]\frac{AC}{FE}=\frac{BC}{DE}=\frac{AB}{FD}[/tex]

[tex]\frac{AC}{FE}=\frac{BC}{DE}[/tex]

[tex]\frac{(x+4.4)}{23.5}=\frac{9}{22.5}[/tex]

x + 4.4 = [tex]\frac{9\times 23.5}{22.5}[/tex]

x + 4.4 = 9.4

x = 9.4 - 4.4

x = 5

Therefore, value of x = 5

Option (A) will be the answer.

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