The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?

Answers

Answer 1

Answer:

Parallel lines requires the terms line and plane because line and plane that are parallel cannot cross each other therefore they will never make a point of intersection. The characteristics of that parallel lines consists of lines and planes. Perpendicular lines requires the terms line and point because whenever two lines intersect, it creates a point and whenever two planes intersect, it creates a line. The characteristics of that perpendicular lines are points and lines.

Answer 2

The characteristics of the geometric figures that create the different requirements are;

Parallel lines are lines on the same plane and that are equidistant from each otherPerpendicular lines are lines that form a 90 degree angle at the point of their intersection.

Reasons:

The characteristics of parallel lines are;

The shortest distance between the lines that are parallel is the same at all points along the lines.The lines are on the same plane.As the plane is extended indefinitely, the lines do not intersect.

The characteristics of perpendicular lines are;

Perpendicular lines are lines that intersect at a point.

Where two lines are perpendicular, the slope of one line is the negative reciprocal of the other, such that the product of the slopes of two lines that are perpendicular is -1.

The angle formed at the intersection of perpendicular lines is 90°.

An horizontal and a vertical line on the same plane are perpendicular to each other.

Therefore, the characteristics of the geometric figures that create the different requirements are;

Parallel lines are lines on the same plane.Perpendicular lines are lines that form a 90 degree angle at the point of their intersection.

Learn more about parallel and perpendicular lines here:

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The Definition Of Parallel Lines Requires The Undefined Terms Line And Plane, While The Definition Of
The Definition Of Parallel Lines Requires The Undefined Terms Line And Plane, While The Definition Of

Related Questions


The sum of two numbers is 55. The smaller number is 15 less than the larger number. What are the numbers?


Answers

Answer:

a=35

b=20

Step-by-step explanation:

a+b =55

a=b+15

b+15 +b =55

2b=55 - 15

2b=40

b=40 :2

b=20 (the smallest number)

a=20 +15 =35 (the largest number)

Step-by-step explanation:

55=x+15

-15     -15

40=x

Hope it helps!

A wise man once said, "400 reduced by 3 times my age is 220,"what is his age?

Answers

400-220=180

180/3=60

The answer is 60.

What is
y = - (2+2)(x - 1)
On a graph

Answers

Slope:-4
Y-intercept -(0,4)
The points to graph it:
X,Y
(0,4)
(1,0)

What property is 5/7*5/7=1

Answers

Answer:multiple property

Step-by-step explanation:

Answer: Associative property of multiplication: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.

Step-by-step explanation: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.

I really hope it help!!!!!!!!!

Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.

1/4(12+8x)

Answers

Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

Question 3
Consider the parallelogram below with an area of 672 cm?
9x-12
16

Answers

Answer:

Are of parallelogram = base * height

672 = b*h

or, (9x-12)* 16 =672

0r 9x-12 = 42

9x = 54

x=6

height =9x-12 = 54 -12 = 42

Step-by-step explanation:

can anyone help thanks

Answers

Answer:

x = 8, -4

Step-by-step explanation:

2x-4-6=6; therefore, x = 8

2x-4=-12; therefore, x = -4

what the answer to -3-z=?

Answers

Hey there!☺

[tex]Answer:\boxed{-z-3}[/tex]

[tex]Explanation:[/tex]

[tex]-3-z[/tex]

-3 + -z Add together

-z - 3

Hope this helps!

first term is 3, common difference is 4 what is the 5th term

Answers

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

A worker finds that it takes 9 tiles to cover one square foot of floor. Which equation represents relationship between the square feet (f) and the number of tiles ​

Answers

f= 9t . This is because each square foot is 9 tiles so however many square feet would be t. For ex. If you wanted 3 square feet then it would be f= 9(3) f=27 so you would need 27 tiles

How many solutions does y=-x^2-4x+7 have

Answers

Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

X= 62 Y=620

Step-by-step explanation:

Y is right because its ten times more than x and x is right because you take the three side and you multiply each one by 2 then you add then all together and you get 62.

Can i be made brainliest i need it

Which fraction is not in simplest form?
10/21

Answers

it’s 4/6 the last one

It would be the last bubble, 4/6

hope I helped ya

Show your work. Round to the nearest tenth if necessary. A. x=9 B. x=8.7 C. x=9.3

Answers

Given:

Line GH bisects angle FGI, that means angle FGH = angle HGI

To Find:

the value of x and angle FGI

Solution:

angle FGH = angle HGI

6x - 11 = 4x + 7

or, 6x - 4x = 7 + 11

or, 2x = 18

or, x = 18/2 = 9

angle FGI = angle FGH + angle HGI

or, angle FGI = 6x - 11 + 4x + 7

or, angle FGI = 10x - 4

By putting the value of x, we get

angle FGI = 10(9) - 4

or, angle FGI = 90 - 4 = 86°

Answer:

The value of x is 9.

Angle FGI = 86°

Definition: This is a fraction in which the numerator is larger than the denominator.

Answers

Answer: Improper Fraction

Improper Fraction: The numerator of a fraction can be larger than the denominator. If the numerator is larger, than the fraction is larger than 1, than it is called an improper fraction.

For example: 9/4 = Improper Fraction
For example 1/2 = Proper Fraction

Hope this helps :)

What is the correct order of steps for bisecting angle ABC?

Answers

Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

What is angle bisector?

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

Learn more about angle bisector here

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approximate each irrational number to the nearest hundreth √32

Answers

Answer:

5.66

Step-by-step explanation:

sqrt(32) = sqrt(16 * 2) = 4 * sqrt(2) = 5.66

For the pair of functions, find (f • g)(x) and (gof)(x).
f(x) = -2x2 g(x) = x + 4

A. (g)(x) = -283 - 8x?: (gof)(x) = -2x3 - 8x2

B. (f 9)(x) = -2x2 – 16x - 32; (gof)(x) = -2x2 + 4

C. (og)(x) = -2x2 + 4; (g - f)(x) = -2x2 – 16x - 32

D. (fog)(x) = -2x2 – 32; (g - )(x) = -2x2 + 4

Answers

d is correct answer i believe.

Find the solution set.
r^2 = 16
Separate the two values with a comma.

Answers

The solution set is r = (+4, -4) .

PLEASE HELP ASAP! URGENT!

Answers

You didn’t post the question
What’s the question?

HELP ME PLEASE <33 I NEED THIS

Answers

The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.

2+2x + x^2 +XY

What would be the answer to this question simplified

Answers

Hey there!

ANSWER: [tex]x^2+xy+2x+2[/tex]EXPLANATION:

[tex]2+2x+x^2+x*y[/tex]

To solve, you will need to simplify.

[tex]x^2+xy+2x+2[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

What is objective ??

Answers

Answer:

In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.

In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.

In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).

Step-by-step explanation:

Write the algebraic expression:
Two times a number plus two

Answers

2x+2 would be the expression
2n+2

I used the letter n for number, but you can use whatever letter you choose.


Suppose A and B are points. How many distinct lines contain both A and B?
оо
1
2
3
infinitely many

Answers

Answer:

The correct option is;

1

Step-by-step explanation:

A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location

Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.

Evaluate the following expression. cos315°

Answers

Answer:

[tex]\sqrt{2}/2[/tex]

Step-by-step explanation:

Making a unit circle will be very helpful if you don't already have one. You will use it for years to come.

I need help...!!!!!please...

Answers

Step-by-step explanation:

sorry i am busy i will answer it tomorrow or free time

Kevin plant a total of 72 flowers in equal rolls. Can you plant six rolls of yellow flowers and two rows of my flowers. How many flowers are in each row?

Answers

Answer:

  9

Step-by-step explanation:

72 flowers in 8 equal rows will have 9 flowers in each row.

__

72 = 8 × 9

Answer:

There are 9 flowers in each of the 8 rows

Step-by-step explanation:

Kevin plants a total of 72 flowers in equal rows he plants 6 rows of yellow flowers and 2 rows of red flowers how many flowers are in each row

Solution

Total flowers = 72 in Equal rows

Yellow flowers = 6 rows

Red flowers = 2 rows

Rows of yellow flowers + Rows of rec flowers = 6 + 2

= 8 rows

Flowers in each row = Total flowers / total rows

= 72 flowers / 8 rows

= 9 flowers

Flowers in each row = 9 flowers

Which of the below terms best describe the relationship between <3 and <4

Answers

Answer: because 4 would be greater than 3.

Step-by-step explanation:

A surf instructor has an initial fee of $12 and charges $8 per hour for lessons,
explain how to determine what the y-intercept is and where it would be located on a graph.
Please help me, i'm stupid and i don't know where, or how to find this.

Answers

Answer:

I am stuck on that question tooo

Step-by-step explanation:

Step-by-step explanation:

First, let's write an equation.

h= numbers of hours, the instructor will charge $8 per hour.

s= amount of $

"12" is the initial fee.

From this information the equation will look like:

s=8h

However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)

I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".

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