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BartSMP [9]
3 years ago
15

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir

es the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Mathematics
2 answers:
Tomtit [17]3 years ago
4 0
Point, line, and plane are the undefined expression that relinquish the starting location for geometry. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words. This procedure must eventually abort; at some stage, the definition must use a word whose meaning is accepted as intuitively clear. Because that meaning is accepted without definition, we refer to these words as undefined terms. These terms will be used in defining other terms. Although these expressions are not formally defined, a brief intuitive dialogue is needed.   A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point constitute position only.   A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has boundless length, zero width, and zero height. Any two points on the line name it. The symbol ↔ written on top of two letters is used to denote that line.   <span>A plane may be contemplating as an infinite set of points creating a connected flat surface extending infinitely far in all directions. It is usually represented in drawings by a four‐sided figure. A single capital letter is used to designate a plane.</span>
lakkis [162]3 years ago
3 0

Answer:

Parallel lines do not intersect.

Parallel lines must be coplanar.

Perpendicular lines intersect at one point.

Perpendicular lines intersect  so plane is not required in the definition.

Step-by-step explanation:

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You are making luan arrangements for a birthday party. There are 16 white balloons and 24 red balloons each arrangement must be
valina [46]

Answer:

8 arrangement

Step-by-step explanation:

2 white balloons and 3 red balloons for every arrangement

5 0
3 years ago
6(10+z+3) whats the answer i need help and also when someone texts you lol what would you say
jeka94
6(10+z+3)
= (6)(10 + z +3)
= (6)(10) + (6)(x) + (6)(3)
= 60 + 6x + 18
= 6x + 78
3 0
3 years ago
Cameron is older than Hassan. Their ages are consecutive integers. Find Cameron's
Alexxandr [17]

Answer:

25

Step-by-step explanation:

So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.

So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"

So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145

So we can substitute the variables we defined to express Cameron and Hassan's age: (x+1) + 5(x) = 145

Distribute the 5: x+1+5x

Add like terms: 6x+1 = 145

Subtract 1 from both sides: 6x=144

Divide both sides by 6: x=24

Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25

6 0
1 year ago
A calculator screen shows a number in scientific notation as 4.18E‒8. Write this number in standard form.
Citrus2011 [14]

Answer:

.0000000418

Step-by-step explanation:

So you will start from the decimal and move 8 places to the left.

E-8 is the same as 10^-8 so you will move to the left

If it was E8 you would move to the right 8 places.

6 0
3 years ago
$15.00 divided by 4 = ?
GenaCL600 [577]

Answer: 3.75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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