Answer:
x = 9
Step-by-step explanation:
All of the right triangles in the figure are similar. That means ratios of corresponding sides are the same.
The two sides marked with numerical values have lengths 5 and 2√5 ≈ 4.47. The remainder of x, which is (x-5), will be shorter than either of the other two marked lengths. This means we can write the ratio of short side to long side of the two smaller triangles as ...
short side / long side = (2√5)/5 = (x-5)/(2√5)
Cross-multiplying gives ...
20 = 5(x -5)
4 = x -5 . . . . . divide by 5
9 = x . . . . . . . add 5
_____
<em>Additional comment</em>
In this geometry, as we have seen above, the square of the altitude ((2√5)²=20) is the product of the lengths of the segments of the hypotenuse (5×4=20). There are two other "geometric mean" relationships in a triangle like this, involving the legs of the largest triangle. They all arise from the similarity of the triangles.
50 miles. 15 is to 30 as 50 is to 100.
Answer:
$0.86, or 86 cents
Step-by-step explanation:
5 = $ 4.30
1 = $ 0.86
$4.30/5 = $0.86, or 86 cents per pound.
Answer:
The percentage of people enjoy New years Eve only = 3%
Step-by-step explanation:
The data indicates, The percentage of people enjoy New years Eve = 28%
The percentage of people enjoy New years Eve and Memorial Day = 12%
The percentage of people enjoy New years Eve and Forth of July = 18%
The percentage of people enjoy Enjoy all the three = 5%
The percentage of people enjoy New years Eve only
= The percentage of people enjoy New years Eve
- The percentage of people enjoy New years Eve and Memorial Day
- The percentage of people enjoy New years Eve and Forth of July
+ The percentage of people enjoy Enjoy all the three
= 28% - 12% - 18% + 5%
= 3%
So what you would do is, 42 divided by 3, which would equal 14, so Kirk would put 14 pieces of candy in a box. I hope this could help.
