Answer: Choice B
FH/FI = HG/IE
================================================
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.
For this case we can make the following rule of three:
2/9 ------> 3/5
x ---------> 1
Clearing x we have:
x = (1 / (3/5)) * (2/9)
Rewriting we have:
x = (5/3) * (2/9)
x = 10/27
Answer:
he irons 10/27 of his shirt every minute
Answer: First Option is correct.
Step-by-step explanation:
Since we have given that
Measure of arc WZ = 175°
Measure of ∠XAZ = 105°
We need to find the measure of ∠XYZ.
As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.
Hence, the value of ∠XYZ is 35°.
Hence, First Option is correct.
12*3= 36
12 and 3 could be factors of 36.
I hope this helped you! <3
