So, you know that the fraction in front of the x is the slope, right?
Answer:
502&153
Step-by-step explanation:
The resultant of the two vectors as an ordered pair would be (8,1)
Answer:
ΔNAS≅ΔSEN by SSA axiom of congruency.
Step-by-step explanation:
Consider ΔNAS and ΔSEN,
NS=SN(Common ie . Both are the same side)
SA=NE( Given in the question that SA≅ NE)
∠SNA=∠NSE( Due to corresponding angle property where SE ║ NA)
Therefore, ΔNAS ≅ΔSEN by SSA axiom of congruency.
∴ NA≅SA by congruent parts of congruent Δ. Hence, proved.
Step-by-step explanation:
a) 4 , 7 , 10 , . . . . .
Here we can see that ,
- Common difference = 10-7 = 3
- First term = 4.
We know the formula of nth term as ,
Sum of 20 terms as ,
b) -15 , -8 , -1 . . . . .
Here we can see that ,
- Common difference = -8+15 = 7.
- First term = (-15).
We know the formula of nth term as ,
Sum of 20 terms as ,
![\implies S_n = \dfrac{n}{2}[2a+(n-1)d] \\\\\implies S_{20} = \dfrac{20}{2}[2(-15)+(20-1)7] \\\\\implies S_{20} = 10[ -15+ 133 ] \\\\\implies \boxed{ S_{20} = 1180 }](https://tex.z-dn.net/?f=%5Cimplies%20S_n%20%3D%20%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%20%5C%5C%5C%5C%5Cimplies%20S_%7B20%7D%20%3D%20%5Cdfrac%7B20%7D%7B2%7D%5B2%28-15%29%2B%2820-1%297%5D%20%5C%5C%5C%5C%5Cimplies%20S_%7B20%7D%20%3D%2010%5B%20-15%2B%20133%20%5D%20%5C%5C%5C%5C%5Cimplies%20%5Cboxed%7B%20S_%7B20%7D%20%3D%201180%20%7D)