Which distance measures 5 units? A number line going from negative 8 to positive 8. A closed circle appears at negative 8 and is labeled W. A closed circle appears at negative 3 and is labeled X. A closed circle appears at positive 1 and is labeled Y. A closed circle appears at positive 5 and is labeled Z. An orange arrow line extends the length of the number line and contains all points.

the distance between points W and X
the distance between points X and Y
the distance between points X and Z
the distance between points Y and Z

Step-by-step explanation:

h

the distance between points W and X

Step-by-step explanation:

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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°