Part C
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 do you notice about the ratios of the lengths for each transversal? How do they compare?

Answers

Answer 1

Answer:

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

Just got it on plato your welcome:)

Answer 2

The segments formed by each transversals and the three parallel lines are

proportional according to the three parallel lines theorem.

The observations are;

The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.

[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]

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 [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((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;

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]

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 [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

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

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]

Therefore;

[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]

Which gives;

The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.

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

Learn more about triangle proportionality theorem here:

https://brainly.com/question/8160153


Related Questions

I need help I don’t really get it

Answers

Answer:

A. 72 cm

Step-by-step explanation:

72 x 2/3 = 48

Answer:

72 cm

Step-by-step explanation:

if the smaller figure is 48 cm and its a 2/3 ratio

lets just say 2x:3x

2x=48 so x would =24

then the larger perimeter would be 3*24 which is 72

2. Two points are shown on the coordinate plane. How any units apart are
Point A and Point B?*

Answers

Answer:

Step-by-step explanation:

Guided Practice


Which property justifies the first step in solving this equation ?
[tex]\frac{x}{5}[/tex]+9=11
[tex]\frac{x}{5}[/tex]+9−9=11−9


A.
Substitution Property of Equality


B.
Addition Property of Equality


C.
Subtraction Property of Equality

Answers

Answer:

a subtraction

Step-by-step explanation:

C.

Subtraction Property of Equality

12% of what number is 1044?

Answers

8,700*

12/100=1044/y         Equation

1044 x 100= 104,400       Cross multiply

104,400÷12=8700            Divide quotient by pecentage out of 100 (12)

what is the distance between (6,-7) (3,-5)

Answers

Answer:

4,684 km

Step-by-step explanation:

The distance between the two points is 3.60555.
I don’t know if the graph you are using for this question has a label amount such as inches or centimeters, if it does then you just add the label onto it accordingly.

If you need help calculating the distance between two point on a graph, you can use this website:

https://www.omnicalculator.com/math/distance

JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK? With Explanation Please

Answers

Answer:

8.5 inches

Step-by-step explanation:

Let the center of the circle = C

Now CK = CL = 6

Using Pythagoras theorem  

LK^2 = CL^2 + CK^2

        = 6^2 +6^2

          = 36 + 36

          = 72

LK = 72 ^1/2

     = ( 36*2)^1/2

       = 6(2)^1/2

      = 8.5 inches

The Leungs sold a valuable painting for $55,000. This price is $1,000
more than twice the amount they originally paid for it. How much
did they originally pay?
A. $25,000 B. $27,000 C. $27,500 D. $28,000

Answers

Answer:

B. $27,000

Step-by-step explanation:

So 55,000 = 2x + 1,000

Simply for x

55,000 = 2x + 1,000

54,000 = 2x

x = 27,000

Skip count 89300 forward by 5000

Answers

89300, 94300, 99300, 104300, 109300. To keep going forward, add 5000 after each number.

What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

Answers

Given: What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

To Find: What should be done on both side of equation.

Solution:

Step1 : Add 4.5 both sides so that +4.5 gets eliminated from LHS ,

=> y-4.5+4.5=12.2+4.5

=> y = 16.7

Hence the value of y is 16.7.

To need to solve the equation we need to add 4.5 on both sides and the value of y will be 16.7.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In other words, the equation must be constrained with some constraints.

As per the given equation,

y - 4.5 = 12.2

Add 4.5 on both sides of the equation,

y - 4.5 + 4.5 = 12.2 + 4.5

y = 16.7

Hence "To need to solve the equation we need to add 4.5 on both sides and the value of y will be 16.7".

For more about the equation,

brainly.com/question/10413253

#SPJ2

(x_6)(x_5)+(x_5)(x_6)​

Answers

Answer:

(X+6)(x-5) + (X-5)(X+6)

Answer:

[tex]2x ^{2} - 22x + 60[/tex]

Evaluate 4 + (m - n)

When m = 7 and n = 5.

Answers

1. substitute:
4+(7-5)
2. simplify:
4+2
3. evaluate:
6
the answer is 6.

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel
between the 6 and the 12, if the length of the second hand is 6 inches?
Arc length
Recall that Circumference
- 360°
3 inches
O 6 x inches
12 x inches
0 24 inches

Answers

Answer:A. 3 inches

Step-by-step explanation: :)

Answer:

b and c

Step-by-step explanation:

qüîz 10-2 Gina wilson answers please ​

Answers

Answer:

I don't know how to do it the subject

HELP PLS MARKING BRAINLIEST SHOW WORK IF YOU CAN IF NOT ITS COMPLETELY FINE JUST DO IT

Answers

Answer:

1824 in.

Step-by-step explanation:

First find the area of the two shapes you split that are the rectangle and triangle:

Rectangle Area:

48 * 32 = 1536

Area- 1536 in.

Triangle Area:

48 * 12 * 1/2

       or

48 * 12 divided by 2

= 288 in.

Now add the two areas up:

1536 + 288 = 1824 in.

Answer:

1824

Step-by-step explanation:

I assume you want to find the area of the shape. So in order to find the area of the triangle it is height times base than divide it by 2 which looks like this

(12*48)/2 which equals 576

than to find the area of the rectangle it is height times width which is

48*32 which equals 1536

add them together and you get 1824

4x + 7 = 23 whats the x?

Answers

Answer:

4x=16

x=4

Step-by-step explanation:

isolate x. first subtract 7 to get 4x=16 then divide by 4 to get your answer

Answer:

16

Step-by-step explanation:

Hope this helps and have a great day!!!!

A trapezoid has bases of lengths 38 and 52. Find the trapezoids area if it’s height is 8.

Answers

Answer:

360

Step-by-step explanation:

Which comparison is not correct?

-2 > -7
1 < -9
-3 > -8
6 > 5

Answers

Answer:

1 < -9

Step-by-step explanation:

A positive number can't be less than a negative

1 < -9
.......................

$297.89 with a 9.5% tax​

Answers

The exact answer is 326.18955. So about $316.19

class 9 help who are clever will get a brainlist​

Answers

Could you show a better picture?

PLEASE HELP! I need this asap

Answers

Answer:

5.17

Step-by-step explanation:

just at 10 pecent

Answer:

I think that the third one is the correct answer , $4.94 i mean .

what is 1/3 plus 1/2 in fraction form

Answers

Answer:

5/6

Step-by-step explanation:

Hope this helped!!!

Tickets to a hockey game cost $45. You and 3 of your friends decide to go together. how much will your tickets cost all together?

Answers

Answer:

135

Step-by-step explanation:

Well 3 friends and 45 dollars each

45*3=135

In this problem you want to multiply. It would be $45 x 3 friends, so $135 in total ;)

In the standard (x, y) coordinate plane which equation represents a line through the point (6, 1) and perpendicular to the line with the equation =3/2 + 1?
A.) = −3/2 − 8
B. ) = −2/3 − 3
C.) = −2/3 + 1
D.) = −2/3 + 5
E.) = −3/2 + 10

Answers

Answer:

d. -2/3x+5

Step-by-step explanation:

Because the line is perpendicular, the slope must be the inverse of the original slope. The inverse of 3/2 is -2/3. To find the b value, you plug (6,1) into the equation y=-2/3x+b

1=-2/3(6)+b

1=-4+b

5=b

The final equation is y=-2/3x+5

i need more helppppppppp, i have to find the area of this circle

Answers

Answer:

You need to find the radius first,

Half of 23 is = 11.5

Formula you must remember when finding area of circle is:

πr^2

(pie (3.14 or 22/7) x radius squared)

Our pie is 3.14 because they said to use it in this particular question.

3.14 x 11.5^2 (remember we are making our radius squared) <--- Before

Let's evaluate first:

3.14 x 132.25 <--- After evaluating

So, 3.14 x 132.25 = 415.265 <----- your answer

                               _______

Answer:

U scammer scaming peoiple ans wasting their points!

Step-by-step explanation:

You would to have $800 saved after 2 years. If you put your money into an account that compounds annually and earns 1.8% annual interest, how much should you put into the account?

Answers

Answer:

$772

Step-by-step explanation:

Set it up as

772(1+0.018)^2

Comes out to $800.04

If you need further explanation tell me in comments

Answer:829

Step-by-step explanation: You would have 829$ because, Of the Number of years for this investment. Hope this helped. If not im sorry!

it always tells me i have to put 20 characters but i really need help

Answers

Answer:

B

Step-by-step explanation:

25/100 is 25%.

Write in terms of i
Simplify your answer as much as possible.
square root of -48

Answers

The square root of -48 is 2 because 2x2x2x2x2x2x is not -48

Use the SIN to find x?
190m
Xm
1. Set Up
2. Operation
3. Answer
52.2

Answers

Answer:

sine=opposite/hypotenuse

sin52.2=x/150

sin0.790=x/150

x=118.5

Juan compro ayer una tarta y comio 2/5. Hoy ha comido la mitad del resto. Si el trozo restante pesa 300g, cuanto pesaba la tarta?

Answers

Answer:

hello i posted the answer onto 345.tly.com

Step-by-step explanation:

Answer:

1000g

Step-by-step explanation:

2/5 =400g

3/5 = 600g

1/2(3/5) = 300g

400 + 600 = 1000

6.01 x 0.2 =

Can anyone do this plz

Answers

1.202 is the answer

Hope it helps

Brainliest pls

Answer:

1.202

Step-by-step explanation:

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