Answer:
D
Step-by-step explanation:
vertical angles are opposite from each other
Complementary angles are 180
supplementary angles are 90
so it is none of the above
Answer:
k = 7
Step-by-step explanation:
The given figures are lines f(x) and g(x)
For the line f(x), we have the y-intercept at (0, -3) and slope = (-1 - (-3))/(-3 - 0) = -2/3
Therefore, line f(x) = y - (-3) = -2/3·(x - 0) which gives f(x) = y = -3 - 2·x/3
For the line g(x), the y-intercept is (0, 4), and the slope is (4 - 2)/(0 - 3) = -2/3
The equation of the line g(x) is therefore, g(x) = y - 4 = -2/3·x, which simplifies to the slope and intercept form as g(x) = y = 4 - 2/3·x
Therefore, given that the transformation of f(x) to g(x) is given as g(x) = f(x) + k, we have;
k = g(x) - f(x) = 4 - 2/3·x - (-3 - 2·x/3) = 4 - 2/3·x + 3 + 2·x/3 = 7
∴ k = 7
Standard form becuase the 70 is not spelled out
Answer:
70dollers right? im sorry if im wrong i tried :) hope this helpss!
Step-by-step explanation:
Answer:
The last one is 215
Step-by-step explanation:
Let
x ----> the first consecutive number
x+1 ---> the second consecutive number
x+2 ---> the third consecutive number
x+3 ----> the fourth consecutive number
we have that

solve for x
Combine like terms

Subtract 6 both sides


Divide by 4 both sides

Find the last one

therefore
The last one is 215