Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? check all that apply.

18 +81 = 9(x2 + 6x +9)

18+9 = 9(x2 + 6x +9)

18+ 36 = 9(x2 + 6x + 36)

11 = (x + 3)2

1342 = (x + 6)2

799 = (x + 3)2

Step-by-step explanation:

we have

Adds 18 both sides

Complete the square

Divide by 9 both sides

Rewrite as perfect squares

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°