Answer: 2nd most popular country = 15895 students
most popular country = 24390 students
Step-by-step explanation:
Total students: 40,285
2nd most popular country = x students
most popular country = x + 8,495 students
x + x + 8495 = 40285
2x + 8495 = 40285
2x = 40285 - 8495
2x = 31790
x = 15895
2nd most popular country = x = 15895 students
most popular country = x + 8,495 = 15895 + 8,495 = 24390 students
Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:
Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4
So, the answer will be the 75th term = 302
Answer:
first one is A and the second one is B.
Step-by-step explanation:
You can create and solve a proportion to get this answer.
Let x be the number of litters in 2500.
1. Write out proportion. 1/1000=x/2500
2. Cross Multiply. 1000x=2500
3. Divide by 1000 on each side. x=25
There are infinitely many ways to do this. One such way is to draw a very thin stretched out rectangle (say one that is very tall) and a square. Example: the rectangle is 100 by 2, while the square is 4 by 4.
Both the rectangle and the square have the same corresponding angle measures. All angles are 90 degrees.
However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio
100/4 = 25
2/4 = 0.5
so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.
side note: if you are working with triangles, then all you need are two pairs of congruent corresponding angles. If you have more than three sides for the polygon, then you'll need to confirm the sides are in proportion along with the angles being congruent as well.
