Answer:
The interior angle of a 35-gon would be
169.71
o
Explanation:
The equation of the interior angle of an polygon is
(
n
−
2
)
180
n
= interior angle, where n is the number of sides.
A 35-gon has 35 sides.
(
35
−
2
)
180
35
(
33
)
180
35
5
,
940
35
169.71
The interior angle of a 35-gon would be
169.71
o
450 >_ 750 - 70x
450 >_ 750 - 70x
(subtract 750 on both sides)
-300 >_ -70x
(divide by -70 to get x alone, then flip the inequality sign)
4 2/7 <_ x
(round up to 5, you can’t have 2/7 of a person)
at least 5 people have to get off
hope this helped!
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
