Give the center and radius of the circle (x + 2)2 + (y - 4)2 =36

A. Center: (2,4)
Radius: 6
B. Center: (-2,4)
Radius: 6
C. Center: (-2,4)
Radius: 36
D. Center: (2,-4)
Radius: 36

Step-by-step explanation:

The equation of a circle:

Where

- center

- radius

We have the equation

Therefore

the center is (-2, 4)

the radius is 6

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°

7,24

step-by-step explanation: