Answer:
Step-by-step explanation:
Line PU is transversal and lines QR and ST are parallels
Angle PRQ and UST add up to 180 degrees
- 15(x+2) = 180 - 135
- 15x + 30 = 45
- 15x = 15
- x = 1
Answer:
its 1 1/2
Step-by-step explanation:
Its 1 1/2 or 6/5
Answer:
929
Step-by-step explanation:
For every 11 children, 7 will have homes and 4 will not.
The fraction of children without homes is 4/11.
The number of children without homes is
4/11 × 2556 = 929
Check:
The number of children with homes is 2556 - 929 = 1627
With/Without = 1627/929 = 7.005/4 ≈ 7/4
OK.
Answer:
Step-by-step explanation:
Hello,
Basically, we need to prove that
is irrational
Let s assume that
is rational
it means that we can find p and q (q different from 0) two integers <u>with no common factors other than 1 </u>
so that
![\sqrt{2}=\dfrac{p}{q}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%3D%5Cdfrac%7Bp%7D%7Bq%7D)
And then we can write that
![2=\dfrac{p^2}{q^2}\\ p^2=2q^2](https://tex.z-dn.net/?f=2%3D%5Cdfrac%7Bp%5E2%7D%7Bq%5E2%7D%5C%5C%3C%3D%3E%20p%5E2%3D2q%5E2)
So
is even so it means that p is even
so
is divisible by 2*2=4
as
it means that
is even, meaning q is even
wait, p and q are then even !? but by definition they have no common factors. This is not possible.
so our assumption that
is rational is false
So it means that this is irrational
and then
is irrational too
Hope this helps