Answer:
corresponding angles
Step-by-step explanation:
<4 and <8 are corresponding angles
Corresponding angles are in matching corners on parallel lines
Answer:
81.5
Step-by-step explanation:
Answer:
![x=3-\sqrt{6},x=3+\sqrt{6}](https://tex.z-dn.net/?f=x%3D3-%5Csqrt%7B6%7D%2Cx%3D3%2B%5Csqrt%7B6%7D)
Step-by-step explanation:
we are given equation as
![2x^2-12x=-6](https://tex.z-dn.net/?f=2x%5E2-12x%3D-6)
Since, we have to solve it by using complete square
so, firstly we will complete square
and then we can solve for x
step-1:
Factor 2 from both sides
![2(x^2-6x)=-3\times 2](https://tex.z-dn.net/?f=2%28x%5E2-6x%29%3D-3%5Ctimes%202)
step-2:
Simplify it
![x^2-6x=-3](https://tex.z-dn.net/?f=x%5E2-6x%3D-3)
step-3:
Add both sides 3^2
![x^2-6x+3^2=-3+3^2](https://tex.z-dn.net/?f=x%5E2-6x%2B3%5E2%3D-3%2B3%5E2)
now, we can complete square
![(x-3)^2=6](https://tex.z-dn.net/?f=%28x-3%29%5E2%3D6)
step-4:
Take sqrt both sides
![(x-3)=-\sqrt{6},(x-3)=\sqrt{6}](https://tex.z-dn.net/?f=%28x-3%29%3D-%5Csqrt%7B6%7D%2C%28x-3%29%3D%5Csqrt%7B6%7D)
step-5:
Add both sides by 3
we get
![x=3-\sqrt{6},x=3+\sqrt{6}](https://tex.z-dn.net/?f=x%3D3-%5Csqrt%7B6%7D%2Cx%3D3%2B%5Csqrt%7B6%7D)
I don’t know I can’t see the graph real well
The sum of prime factors of 2014 is 74
<h3><u>Solution:</u></h3>
Given that to find sum of prime factors of 2014
Let us first find the prime factors of 2014
A prime number is a whole number greater than 1 whose only factors are 1 and itself
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
<em><u>Prime factors of 2014:</u></em>
The Prime Factorization is:
![2014 = 2 \times 19 \times 53](https://tex.z-dn.net/?f=2014%20%3D%202%20%5Ctimes%2019%20%5Ctimes%2053)
Thus the prime factors of 2014 are 2, 19, 53
<em><u>Let us now find the sum of prime factors of 2014</u></em>
sum of prime factors of 2014 = 2 + 19 + 53 = 74
Thus the sum of prime factors of 2014 is 74