What is the value of g when 6.3g + 8 = 2.3g + 28?

g=5

Step-by-step explanation:

6.3g + 8 = 2.3g + 28

Subtract 2.3g from each side

6.3g-2.3g + 8 = 2.3g-2.3g + 28

4g +8 = 28

Subtract 8 from each side

4g+8-8= 28-8

4g = 20

Divide by 4

4g/4 = 20/4

g = 5

g = 5

Step-by-step explanation:

6.3g + 8 = 2.3g + 28

Subtract 2.3g from each side

6.3g-2.3g + 8 = 2.3g-2.3g + 28

4g +8 = 28

Subtract 8 from each side

4g+8-8= 28-8

4g = 20

Divide by 4

4g/4 = 20/4

g = 5

25

step-by-step explanation:

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°