Positive values of covariance indicate a. a positive variance of the y values. b. the standard deviation is positive. c. a positive variance of the x values. d. positive relation between the independent and the dependent variables.

Option D) positive relation between the independent and the dependent variables.

Step-by-step explanation:

We are given the following in the question:

Covariance between two variable is positive.

Formula:

Thus, a positive covariance between two variables x and y means there exist a positive relation between the two variables.

Thus, the two variables are positively correlated and the coefficient of correlation has a positive value.

Thus, the correct answer is

Option D) positive relation between the independent and the dependent variables.

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°