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