Which option accurately describes a scenario in which a tortoise experiences a displacement of 10 m south? a tortoise starts at a position of 3 m south. it moves 4 m east, 2 m west, and then 3 m north. a tortoise starts at a position of 0 m. it moves 10 m west,10 m east, and then 10 m south. a tortoise starts at a position of 2 m north. it moves 4 m west and then 7 m south. a tortoise starts at a position of 0 m. it moves 10 m west, 5 m east, and then 5 m south.

A tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south.

Step-by-step explanation:

Let's assume southern and eastern movement as positive and northern and western movement as negative. Since we want the displacement, starting position should not be considered.

1-) A tortoise starts at a position of 3 m south. It moves 4 m east, 2 m west, and then 3 m north.

S = -3m

E = 4 - 2 =2m

2-) A tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south.

S= 10m

E= 10 - 10 = 0m

3-) A tortoise starts at a position of 2 m north. It moves 4 m west and then 7 m south.

S= 7m

E= -4m

4-) A tortoise starts at a position of 0 m. It moves 10 m west, 5 m east, and then 5 m south.

S= 5m

E= 5 - 10 = -5m

Analyzing all of the previous scenarios, only one presents a 10 m southern displacement, and that is when the tortoise starts at a position of 0 m. It moves 10 m west,10 m east, and then 10 m south.

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:

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