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.
Answer:
1.429 lbs per dollar of sugar
Step-by-step explanation:
multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up
Answer:
Step-by-step explanation:
1 ) Given that

For a non homogeneous part
, we assume the particular solution is

2 ) Given that

For a non homogeneous part
, we assume the particular solution is

3 ) Given that
y′′ + 4y′ + 20y = −3sin(2x)
For a non homogeneous part −3sin(2x) , we assume the particular solution is

4 ) Given that
y′′ − 2y′ − 15y = 3xcos(2x)
For a non homogeneous part 3xcos(2x) , we assume the particular solution is


so, 13 of the 20 tables have 6 chairs each.
that means, the remaining 7 tables, have 4 chairs each.
13 * 6 = 78 chairs total for those 13 tables.
7 * 4 = 28 chairs total for the remaining 7 tables.
78 + 28, that's how many.