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ivann1987 [24]
2 years ago
15

_________ are defined as lines that never have one point in common.

Mathematics
1 answer:
barxatty [35]2 years ago
4 0

Answer:

The correct option is option number 4. Parallel lines are defined as lines that never have one point in common.

Step-by-step explanation:

Parallel lines: Parallel lines are the lines that will never cross each other. As they never meet, so they won't have a common point.

On the other hand, the other options are incorrect. This is because,

Perpendicular lines: Perpendicular lines are the lines that make 90 degrees angle with each other.

Skew lines: Skew lines are the lines that are not present on the same plane.

Coplanar lines: Any lines which are known to occur on the same plane are termed as coplanar lines.

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Answer:

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Step-by-step explanation:

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3 years ago
A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed
Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

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(b) Calculate SL

\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

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                                 EH = 498 m

The distance from E to H is 498 m.

 

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Answer:

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Step-by-step explanation:

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