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olya-2409 [2.1K]
3 years ago
7

Please help!!

Mathematics
2 answers:
sveta [45]3 years ago
6 0
For this case we have the following equation:
 d =  \sqrt{\frac{3h}{2}}
 Where,
 d: the distance they can see in thousands
 h: their eye-level height in feet
 For Kaylib:
 d = \sqrt{\frac{3(48)}{2}}
 d=\sqrt{3(24)}
 d=\sqrt{72}
 d=6\sqrt{2}
 For Addison:
 d = \sqrt{\frac{3(85\frac{1}{3})}{2}}
 d = \sqrt{\frac{256}{2}}
 d=\sqrt{128}
 d=8\sqrt{2}
 Subtracting both distances we have:
 8\sqrt{2} - 6\sqrt{2} = 2\sqrt{2}
 Answer:
 
2\sqrt{2}
 B. 2√2 mi
hammer [34]3 years ago
6 0

Answer:

B. 2 sqrt 2 is the answer!!

Step-by-step explanation:

just took the test of edge2020

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Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

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Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

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flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

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adding 11 to both sides

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dvide both sides by 4

4x/4 = 65/4

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Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
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