Answer:
which ones do you need answered? all of them? want to help
Step-by-step explanation:
The midsegment theorem says that the midsegment is half the third side and parallel as well. 20*2 is 40 so x = 35
Answer:
12x = 84
x = 7
Step-by-step explanation:
12x = 83 1/3 + 2/3
12x = 84
x = 84/12
x = 7
Hope that helps!
Answer:
See below.
Step-by-step explanation:
So we want to prove that:
![\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt8%2B%5Csqrt2%3D3%5Ccdot%202%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
First, simplify √8. This is the same as:
![\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2](https://tex.z-dn.net/?f=%5Csqrt8%3D%5Csqrt%7B4%5Ccdot%202%7D%3D%5Csqrt4%5Ccdot%5Csqrt2%3D2%5Csqrt2)
Therefore, our equation is now:
![2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}](https://tex.z-dn.net/?f=2%5Csqrt2%2B%5Csqrt2%3D3%5Ccdot2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Combine like terms on the left:
![3\sqrt2=3\cdot 2^\frac{1}{2}}](https://tex.z-dn.net/?f=3%5Csqrt2%3D3%5Ccdot%202%5E%5Cfrac%7B1%7D%7B2%7D%7D)
The square root of something is the same as taking that number to the one-half power. Thus:
![3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}](https://tex.z-dn.net/?f=3%282%29%5E%5Cfrac%7B1%7D%7B2%7D%7D%3D3%5Ccdot%202%5E%5Cfrac%7B1%7D%7B2%7D%7D)
Rewrite:
![3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}](https://tex.z-dn.net/?f=3%5Ccdot2%5E%5Cfrac%7B1%7D%7B2%7D%7D%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D3%5Ccdot2%5E%5Cfrac%7B1%7D%7B2%7D%7D)
And we're done!