Step-by-step explanation:
I have no idea what you are asking to do lol
Answer: Choice B
FH/FI = HG/IE
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Explanation:
We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.
- E and G pair up because they are the first letters of EFI and GFH
- F and F pair up as they are the second letters
- I and H pair up because they are the third letters
This means
Furthermore, it means
- EF corresponds to FG
- FI corresponds to FH
- IE corresponds to GH
Focus on the last two items of the list above. We can then form the proportion
FI/FH = IE/GH
which is the same as
FH/FI = GH/IE
when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say
FH/FI = HG/IE
So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.
you could use this equation to help you solve it;
x + (x + 42) = 138
the first step is to combine like terms;
2x = 138 -42
2x = 96
X = 96/2
X = 48
we already solved for x now substitute it in the equation I gave you.
48 + (48 + 42) = 138
48 + 90 = 138
hope it helped...if you have any concerns just let me know:)
