Answer:
x = 7
Step-by-step explanation:
The sum of interior angles is equal to 360°
9x - 4 + 8x + 2 + 13x + 30 + 19x - 11 = 360° add like terms
49x + 17 = 360 subtract 17 from both sides
49x = 343 divide both sides by 49
x = 7
replace x with the value we found to calculate each angle.
B. slope is -1/2
This is because the m-value aka the slope is always the reciprocal if the line is perpendicular
By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
Check if you can write an equation relating the term number to the actual value
n1=3
n2=10 = 3+7
n3= 17 = n2+7 = n1+7+7 = n1 +2*7
n4= 24 = n1+3*7
so you will notice a pattern
for the x-th term
n_x =3+(x-1)*7
the 50th term would be n_50 = 3+(50-1) * 7
