Answer:
Step-by-step explanation:
you know ; for all reals a ; cos(π/2 - a) = sin(a)
so : sin(5x+15) = cos(π/2-(5x+15) ) = cos(π/2-5x-15)
sin(5x+15)=cos(4x−6) eqivaut : cos(π/2-5x-15) = cos(4x−6)
note : cos(a)=cos(b) : a= b +2kπ or a= - b +2kπ ....k in Z
π/2-5x-15 = 4x−6 + 2kπ or π/2-5x-15 = - (4x−6) + 2kπ....k in Z
continue calculate : x .......
300000000+400000+50000+300+90= 300450390
Hope this helped! :)
a) Since ∠FGI is bisected, that means <em>∠FGH and ∠HGI are congruent</em>.
Therefore, <em>5x - 3 = 6x - 8</em>
x to one side: 6x - 5x = -3 + 8
Subtract: x = 5
Plug in: m∠FGH = 5(5) - 3
Simplify: 25 - 3 = 22
m∠FGH = 22°
b) Since ∠FGH is congruent to ∠HGI, m∠FGH = m∠HGI.
Through substitution, m∠HGI = 22°
c) ∠FGI is ∠FGH and ∠HGI combined, so m∠FGI = m∠FGH + m∠HGI
Substitute: m∠FGI = 22° + 22°
Add: m∠FGI = 44°
