The slope of a line is 1/3 . what is the slope of a line perpendicular to this line? -3 - 3

FIRST OPTION: -3

Step-by-step explanation:

By definition, if two lines are perpendicular to each other, then their slopes are negative reciprocals.

In this case you can observe that that the slope of the line is and you know that the other line is perpendicular to this line. Therefore, their slopes are negative reciprocals.

This means that:

If ,then  

This matches with the first option.

the answer is 45 i just did it on oddesy ware

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°