G varies inversely with the square of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.

G = 44.44

Step-by-step explanation:

Given the mathematical expression and data;

H = 4 and G = 0.25

First of all, we would determine the constant of proportionality, k.

Making k the subject of formula, we have;

k = GH²

Substituting the values, we have;

k = 0.25 * 4²

k = 0.25 * 16

k = 4

Next, we find the value of G when H = 0.3;

G = 44.44

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°