How are parallel and perpendicular lines used in real life?
Probably, the best examples are buildings. They are all filled with parallel lines (floors) and perpendiculars (walls).
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Parallel and perpendicular lines are used in real life in various ways, including:

Construction and Architecture: Parallel lines are often used in construction to ensure structures are built straight and level. Perpendicular lines are used to create right angles, which are essential for stability and proper alignment in buildings.

Road and Transportation Systems: Parallel lines are used to mark lanes on roads, highways, and parking lots, helping to organize traffic flow and maintain safety. Perpendicular lines are used to designate intersections and crosswalks.

Electrical Wiring: Parallel lines are used in electrical wiring to connect devices and components in circuits, ensuring efficient distribution of electricity. Perpendicular lines may be used to mount electrical fixtures and outlets at right angles to walls.

Agricultural Planning: Farmers use parallel lines to plant crops in straight rows, maximizing space and facilitating irrigation and harvesting. Perpendicular lines are employed to set up fences and property boundaries.

Geometric Designs and Art: Parallel and perpendicular lines are fundamental elements in art and design, contributing to the creation of geometric patterns, architectural drawings, and intricate artworks.

Technology and Engineering: Parallel lines are used in the design and manufacturing of various technological devices, such as computer chips and circuit boards. Perpendicular lines are essential for creating precise angles and alignments in mechanical and structural engineering.
Overall, parallel and perpendicular lines play crucial roles in organizing space, maintaining order, and facilitating efficiency in various aspects of daily life and human endeavors.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 What is the perimeter of a triangle with corners at #(3 ,0 )#, #(5 ,2 )#, and #(1 ,4 )#?
 Circle A has a center at #(1 ,3 )# and an area of #16 pi#. Circle B has a center at #(2 ,7 )# and an area of #75 pi#. Do the circles overlap?
 What is the perimeter of a triangle with corners at #(7 ,6 )#, #(4 ,5 )#, and #(3 ,1 )#?
 What is the perimeter of a triangle with corners at #(9 ,2 )#, #(2 ,3 )#, and #(4 ,1 )#?
 Circle A has a center at #(5 ,4 )# and a radius of #4 #. Circle B has a center at #(6 ,8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
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