1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmainna [20.7K]
1 year ago
6

calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations.

Round your answers to the hundredths place. What so you notice about the ratios of the lengths for each transversal? How do they compare?
Mathematics
1 answer:
polet [3.4K]1 year ago
8 0

The ratio of the length of each transversal will be  \frac{\overline {CB}}{ \overline {AB}} = \frac{\overline {EF}}{\overline{DE}} =1

The ratio of the lines can be compared using Three Parallel Lines Theorem.

What is Three Parallel Lines Theorem?

When two transversals are intersected by three parallel lines, the transversals are proportionally divided.

According to the three parallel lines theorem, the segments created by each transversal and the three parallel lines are proportionate.

The findings are:

  • The ratio of the lengths of each transversal is equal because the parallel lines divide the transversals in an equal number of halves.
  •  Ratio\ of\ segments: \frac{\overline {CB}}{ \overline {AB}} = \frac{\overline {EF}}{\overline{DE}}

Reasons:

The question is a four part question

Let the equations of the parallel lines be as follows;

Line, x; y = x

Line, y; y = x + 1

Line z; y = x + 2

The points at which transversal 1 intersect the lines x, y, and z, are;

A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)

The length of segment {\overline {AB}}  = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment {\overline {CB}} = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)

The ratio of the lengths of the segment formed by transversal 1 is therefore;

         \sqrt{x} \ ratio\ of\ the\ length \ of segments =\frac{\overline {CB}}{ \overline {AB}} = \frac{2.\sqrt{37} }{2.\sqrt{37} } =1

The points at which transversal 2 intersect the lines x, y, and z, are;

D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)

The length of segment  {\overline {DE}}= √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

The length of segment {\overline {EF}} = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)

The ratio of the lengths of the segment formed by transversal 2 is therefore;

\sqrt{x} \ ratio\ of\ the\ length \ of segments =\frac{\overline {EF}}{ \overline {DE}} = \frac{0.2.\sqrt{17} }{0.2.\sqrt{17} } =1

Therefore;

            \frac{\overline {CB}}{ \overline {AB}} = \frac{\overline {EF}}{\overline{DE}} =1

Which gives;

  • The proportion by which the transversals are divided by the parallel lines is equal.
  • Each transversal's length is proportionately equal.

The the comparison can also be made with the triangle proportionality theorem.

To know more about Triangle Proportionality Theorem visit,

brainly.com/question/8160153

#SPJ1

You might be interested in
Rewrite using a single exponent.<br> 53.53
Helga [31]

Answer:

{5}^{6} \:  \: or \:  \:  {25}^{3}  = 15625

Step-by-step explanation:

{5}^{3}  \times  {5}^{3}

Here we can solve this in 2 ways ,

Method 1 :

{5}^{3}  \times  {5}^{3}

Here the bases are equal. So,

=  >   {5}^{3 + 3}  =  {5}^{6}  = 15625

Method 2 :

{5}^{3}  \times {5}^{3}

Here the exponents are same. So,

=  >  {(5 \times 5)}^{3}  =  {25}^{3}  = 15625

4 0
3 years ago
Help me solve this Algebra problem please​
sp2606 [1]

Answer:

39858075

Step-by-step explanation:

Hello,

One basic way to see it is to compute the values.

   75 = 25 * 3

   225 = 75 * 3

   675 = 225 * 3

   etc ...

We can notice that this is multiplied by 3 every 10 years so we can compute as below.

year         population

1970 25

1980 75

1990 225

2000 675

2010 2025

2020 6075

2030 18225

2040 54675

2050 164025

2060 492075

2070 1476225

2080 4428675

2090 13286025

2100 39858075

So the correct answer is 39858075

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
3 years ago
PLEASE HELP BEST ANSWER GETS BRAINLIEST URGENT
dybincka [34]

Answer:

x

--    = y

25

Step-by-step explanation:

Because it is 25% off, x is divided by 25 to get the price.

For example if x was 100, divide it by 25 you get 75, which is y.

3 0
2 years ago
The largest butterfly in the world is found Papua New Guinea.the female of the species weights about 9/10 Use a decimal to write
Anarel [89]
Well, 9/10 is the same as 9 10ths, the decimal that represents that is 0.9 because it is also 9 10ths
5 0
3 years ago
What is the mathematical shape made by each net
Bumek [7]
A) cylinder
b) triangular pyramid
5 0
3 years ago
Other questions:
  • What is the opposite of the opposite of -3/8
    6·1 answer
  • BRAINLIEST FOR RIGHT ANSWER PLZ
    15·1 answer
  • Two consecutive odd numbers have a sum of 92. What are the numbers?
    11·1 answer
  • Solve by elimination method 5x-2y=11, 3x+4y=4.​
    5·1 answer
  • (06.02)
    11·2 answers
  • Solve forj j - 263 = 243 ​
    7·2 answers
  • How to find the rate of change of the inputs
    9·1 answer
  • A rectangle has 4 lines of symmetry.<br> true or false
    7·2 answers
  • A ball is thrown from a height of feet with an initial downward velocity of . The ball's height (in feet) after seconds is given
    5·1 answer
  • The outside temperature dropped 23.4 °F from the time Taylor left for school to the time Taylor got home from school. It was 54.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!