Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines in a plane. They each write down what they think it means for two distinct lines in a plane to be parallel

Answers

Answer 1

Answer:

Answer:

i rthink i understand your question but im not sure- I think you forgot to add a little bit of the question but im pretty sure your question is what is a parrllel line. IM going to answer that sorry if its wrong but im trying to be helpfull.

Step-by-step explanation:

Parallel lines are two lines that never intersect they start off beside each other and they stay where you can conect them with one line but they will never intercet.

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and

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Answer 2

Answer:

Answer:

Literally, parallel lines are lines that extend in both directions without meeting.

The three definitions of parallel lines are correct, but Rachel's and Briana's definitions have flaws

Step-by-step explanation:

Rachel

The definition implies that two lines are said to be parallel if they are both perpendicular to another line.

This definition is correct, but the definition brings a new concept; it introduces the concept of line transversal.

Because the parallel lines can be defined without introducing the concept of line transversal (which was not part of the required definition), then we can conclude that the definition has a drawback.

Alex

Alex's definition is correct, and it has no drawback because the definition can be applied to concepts where parallel lines are used.

Briana

Here, Brianna introduced the concept of slopes.

Ideally, parallel lines have the same slope; but the concept is limited to slopes only; and cannot be applied to other concepts such as transversal of lines.

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Answers

Answer:

I don't know

Step-by-step explanation:

I don't know what is with-draw, interest rates

5x 2y = 20, when x = 0.3

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is that a question? if you can go more into depth then i can help.

Write the given expression as the sine of an angle
sin40cos20+cos40sin20

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It's $sin(40+20)=sin60=\frac{\sqrt3}2$

Yo sup??

The given expression is in the form

sinAcosB+cosAsinB

we know that

sin(A+B)=sinAcosB+cosAsinB

therefore

sin40cos20+cos40sin20=sin(40+20)

=sin60

=√3/2

Hope this helps.

50% of all the cakes Lucy bakes that week were party cakes: one fifth were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes ?

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50% is equal to 5/10 so 5/10 were party cakes 1/5x2=2/10 so 2/10 were fruit cakes 5/10+2/10=7/10 so 10/10 which is 100% of all cakes 10/10-7/10=3/10 so 3/10 of the cakes were sponge cakes.

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:f(x) = 0.25x2 − 8x + 600

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, the minimum production cost for company :blank:is greater.
[Put 1 or 2 in the blank space]

Answers

company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2:
  x   g(x)
6 862.2
  8 856.8
10 855
12 856.8
14 862.2

Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.

The minimum production cost of company 2 is greater than the minimum production cost of company 1.

How to find Production Cost?

Using the given input values, we have;

For Company 1, the respective productioncosts are;

f(x) = 0.25x² - 8x + 600

f(6) = 0.25(6²) - 8(6) + 600 = 561

f(8) = 0.25(8²) - 8(8) + 600 = 552

f(10) = 0.25(10²) - 8(10) + 600 = 545

f(12) = 0.25(12²) - 8(12) + 600 = 540

f(14) = 0.25(14²) - 8(14) + 600 = 537

For company 2, we are given the various production costs as;

x g(x)

6 862.2

8 856.8

10 855

12 856.8

14 862.2

From the above production cost values, we can deduce that the minimum productioncost of company 2 is greater than the minimum production cost of company 1.

Read more about Production Cost at; brainly.com/question/25109150

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