If 5x is a positive odd number, how many even numbers are between 5x and 5x + 6? A) 1
B) 2
C) 3
D) 4

C

Step-by-step explanation:

If 5x is a positive odd number, using 1 for x would satisfy this.

So the number of even numbers between 5(1) and 5(1)+6 would be the numbers between 5 and 11.

You have 6, 8, 10 between those numbers that are even

If you chose 3 for x instead:

5(3) and 5(3)+6 ; 15 and 21

These also have 3 even numbers between them, being 16, 18, and 20

c. (3,2,6) is the answer.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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