Answer:

Step-by-step explanation:






The sequence is given by (n+5)²
For n=100:
(100+5)² = 105² = 11025
Answer is 8
Work Shown:
f(x) = sqrt(5*x + 4)
f(12) = sqrt(5*12 + 4) ... replace every x with 12
f(12) = sqrt(60 + 4)
f(12) = sqrt( 64 )
f(12) = 8
Call x and y those angles. If they are complementary, then their sum equals 90°:
x + y = 90°
y = 90° - x
The ratio of them is 5 to 1. So,
x/y = 5/1
x/(90° - x) = 5/1
x = 5 * (90° - x)
x = 450° - 5x
x + 5x = 450°
6x = 450°
x = 450°/6
x = 75°
The measure of the other angle is
y = 90° - 75°
y = 15°
The angles are 75° and 15°.
I hope it helps. =)