Answer:
x = 23°
Step-by-step explanation:
Note: Complementary angles measure 90°
3x + (x - 2)° = 90°
=> 3x + x - 2° = 90°
=> 4x - 2° = 90°
Add the additive inverse of -2 to both sides of the equation
i.e 4x - 2° + 2° = 90° + 2°
=> 4x = 92°
Divide both sides of the equation by the coefficient of x which is 4
=> 4x/4 = 92°/4
x = 23°
Let
M---------------> money borrowed -------------> <span>$9,850
r--------------> </span>discounted rate--------> <span>9 ¼=9.25-------> 0.0925
t---------------> time--------> </span><span>9 months=9*30=270 days
D-------------> </span><span>amount of the discount
we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34
the answer is $683.34</span>
Part 1) Find the measures of angle BGEwe know that
The inscribed angle measures half of the arc it comprises.
so
angle BGE=(1/2)*[arc EB]
Part 2) Find the angle BDG
we know that
The measure of the external angle is the semi-difference of the arcs that it covers.
so
angle BDG=(1/2)*[arc GEB-arc GB]
Ratio = 2:3
Let smaller angle be 2x
Let bigger angle be 3x
Sum of two complementary angles = 90
2x + 3x = 90
5x = 90
x = 90/5 = 18
Smaller angle = 2x= 2*18 = 36
I hope it is helpful :D