We can simply observe that.
- 0.777... is rational, because it is a number with infinite but repeating decimal part.
- 1/3 is rational, because it's the division between two integers
, so this is rational as well.
Since the product of two rational numbers is always rational, we have that

are all rationals, since they are the product of two rationals.
On the other hand, we have

and thus

which is irrational.
25 + 35 = 60
300/60 = 5
the answer is 5 packets
Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
____
* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
In this question the given information's should be closely noted. The
length and width of the perimeter are already given. Based on those
information's the answer to the question can be easily deduced.
Length of the rectangle = 2 1/2 inch
= 5/2 inch
Width of the rectangle = 5 1/3 inch
= 16/3 inch
Then
Perimeter of a rectangle = 2 ( Length + Width)
= 2 [(5/2) + (16/3)]
= 2 [ (45 + 32)/6]
= 2 * (77/6)
= 77/3 inch
= 25 2/3 inch
So the perimeter of the rectangle in question is 25 2/3 inch. I hope the procedure is clear to you.