Answer:
Vertical angles are angles that are opposite to each other. Thus, they are therefore congruent angles as they have same measure and number of degrees.
Step-by-step explanation:
The answer will be a because if you add 70 +98+83+66+41 divided by 5 is 325.2 and I'd u add 81 and divide it by 6 then it will equal 371.5 so it will increase
Answer:
B. y = 3x - 14
Step-by-step explanation:
Since the line is parallel, your slope will be 3. You're given a point, so you can use point-slope form to find the equation. Point-slope form is:
y - y1 = m(x - x1) where (x1, y1) is the point that they gave you and m is the slope. So:
y - (-2) = 3(x - 4) --> Start to simplify this by changing - (-2) to +2 and distributing the 3 to (x - 4).
y + 2 = 3x - 12 --> Subtract 2 from both sides.
y = 3x - 14
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
