Identify the ordered pair that has the same slope as the equation y= -x+3
(0,3) and (-3,0)
(1,2) and (-1,4)
(0,4) and (1,2)
(6,3) and (3,2)

(1,2) and (-1,4)

Step-by-step explanation:

Slope =

The slope of the line given is - 1

Checking which of the ordered pair has the same slope , the formula will be used to check , and the only pair that will give - 1 is (1,2) and (-1,4)

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°

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step-by-step explanation: