The measures of complementary angles add up to 90 degrees. Angles A and B therefore add up to 90 degrees.
To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.
m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°
5x - 10 = 90
5x = 100
x = 20
Then, plug the value of x back into each expression to find the measures of angles A and B.
m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°
m∠A = 65°
m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°
m∠B = 25°
You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.
65° + 25° = 90°
x^3-2x^2+9x-2
To solve this, arrange the terms in descending order by their exponents
F(x)=-5x
g(x)=8•2-5x-9
f(g(x))=-5(8•2-5x-9)
f(g(x))=-5(16-5x-9)
f(g(x))=-5(-5x+7)
f(g(x))=25x-35 (answer)