Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? 18 = −9x + 7x2

A. a = 18, b = 9, c = −7

B. a = 18, b = −9, c = 7

C. a = 7, b = 9, c = 18

D. a = −7, b = 9, c = 18

D. a = −7, b = 9, c = 18

Step-by-step explanation:

18 = -9x + 7x²

7x² - 9x - 18 = 0

Or

-7x² + 9x + 18 = 0

a = -7, b = 9, c = 18

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°