Answer:
The product of two rational numbers is a rational number
Step-by-step explanation:
I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that

If we multiply the fractions, we have

Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.
Answer:
Step-by-step explanation:
7.05 p.m we can call it as 19.05
and 1.00 p.m means 13.00
so time from 19.05 to 24.00 is = 24.00-19.05= 4.55 hr
from 24.00 to 13.00 is = 13.00 hr
so total hr is 4.55 + 13.00= 17.55 hr
L=N (because opposite angle of parllalogram is euqal)
4X-25= 3X+18
X =43
there for angle N=3×43+18
N=147
Now we know that the sum of the corresponding angle of a parllalogram is 180
N+M=180
M=180-147
M=33
9514 1404 393
Answer:
- airplane: 225 mph
- wind: 45 mph
Step-by-step explanation:
The average speed with the wind is (540 mi)/(2 h) = 270 mi/h.
The average speed against the wind is (540 mi)/(3 h) = 180 mi/h.
Let a and w represent the speeds of the airplane and wind, respectively.
a + w = 270 . . . . speed with the wind
a - w = 180 . . . . speed against the wind
2a = 450 . . . . . . sum of the two equations
a = 225 . . . . . . divide by 2
w = a -180 = 45
The speed of the airplane is 225 miles per hour; the speed of the wind is 45 miles per hour.
36! goodluck hope it good