Which conclusion does the diagram support?

Which Conclusion Does The Diagram Support?

Answers

Answer 1

Answer:

The conclusion supported by the diagram is;

(A)  [tex]\dfrac{AB}{BC} = \dfrac{FE}{ED}[/tex]

Step-by-step explanation:

The question is examines the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals

The given parallel lines are;

Line CD, line BE, and line line AB

The given transversals are;

Line AC and line DF

Therefore, by the above three or more parallel lines cutting two transversal theorem, we have;

BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE

From BC/AB = ED/FE, we find the inverse of both sides to get;

[tex]\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{1}{\dfrac{ED}{FE} }[/tex]

[tex]\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{AB}{BC} \ and \ \dfrac{1}{\dfrac{ED}{FE} } = \dfrac{FE}{ED}[/tex]

[tex]\therefore \ \dfrac{AB}{BC} = \dfrac{FE}{ED}[/tex]

The correct option is [tex]\dfrac{AB}{BC} = \dfrac{FE}{ED}[/tex]


Related Questions

Write an equation for the line shown in the graph.

A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10

Answers

Answer:

D

Step-by-step explanation:

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the equation, the y-intercept is 10. Then the equation is given as,

y = mx + 10

From the graph, the line is passing through (2, 8). Then the slope is given as,

8 = m(2) + 10

8 = 2m + 10

- 2 = 2m

m = - 1

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

What is the volume of the cone below?

Answers

Answer:

yo try D

Step-by-step explanation:

im pretty sure bc 6 turns to 12 so 22 times 12

A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.

Answers

Answer:

[tex]15[/tex]

[tex]i \: = prt \\ p = \: \frac{i}{rt} \: \: \: \: \: \: i = 900 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: r = 15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = 4 \\ p = \frac{900}{15 \times 4} \\ = \frac{900}{60} \\ [/tex]

[tex]p = \frac{30}{2} \\ = 15[/tex]

5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?

Answers

Step-by-step explanation:

divide 5 by 3.80 and then the multiply the answer by 7

Answer:

7 chocolate bars=£5.32

Step-by-step explanation:

3.80÷5=0.76(one chocolate bar)

0.76×7=5.32(7 bars)

pls pls pls help me. I cant solve it.

Answers

Answer:

1 /a −b

Step-by-step explanation:

=a(a^-b^) + b(a^-b^)
=a^-ab^+ab^-b^
=a^-b^

Daom its been so long since ive been on here i was just zoning out and thinkin... why havent they made a dark mode to this smh i be on discord to much my eyes have adjusted...

Answers

Answer:

why you not on discord?

Step-by-step explanation:

Please simplify I need the extra credit all answers get brainiest.

Answers

Answer:

3/10a^15b^7c^4

Step-by-step explanation:

sorry its kinna hard to explain

Mr. Strand mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer: Mr. Strand mowed most of the lawn, and 7/20 of the lawn still needs to be mowed.

Step-by-step explanation:

Part 1:

We can use change the fractions so that they have equivalent denominators. The Least Common Denominator that the two fractions have is 20.

2/5 = 8/20.

1/4 = 5/20.

Because of this, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn.

Part 2:

8/20 + 5/20 = 13/20. Therefore, 7/20 of the lawn still needs to be mowed.

In conclusion, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn. 7/20 of the lawn still needs to be mowed.

Answer:

Step-by-step explanation:

0.65 of the lawn was mowed

What is the y-intercept of the line 3x – 4y = 24?
(-6, 0)
(0, -6)
(8, 0)
(0, 8)

Answers

Answer:

(0, -6)

Step-by-step explanation:

To find the y-intercept(s), substitute in 0 for x and solve for y.

3 × 0 - 4y = 24

y = -6

good luck, hope this helps :)

Y=-6 that the awnser

Evaluate 5(x + 2) - 12 + 3 for x = 1
answers:
26
1
0
11

Answers

Answer:

Step-by-step explanation:

Putting value of x = 1

5(x + 2) - 12 + 3

5((1) + 2) - 9

5(3) - 9

15 - 9

6

Which statement is true about the angle bisector AD of AABC?

Answers

Answer:

I installed

Step-by-step explanation:

Mo po ang photo lath promised masasa gutan mo po yan sana ma brainlest po ako salamat❤️❤️❤️❤️

The statement true about the angle bisector AD  of triangle ABC is; AD is a perpendicular bisector of BC.

What are angle bisectors?

Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

When an angle bisector points so, the two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions.

In such a single point, calling its incentives, which follow three-angle engineers are required of its three triangle angles.

Learn more about angles here:

https://brainly.com/question/27458498

#SPJ

A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the car at this dealership? *

Answers

Answer:

$9802.90

Step-by-step explanation:

$9802.90

Step-by-step explanation:

17.4%  = 0.174

So retail price = 8,350 + 8,350 * 0.174

= $9802.90

List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?​

Answers

Examples of abiotic factors are water, air, soil, sunlight, and minerals. Biotic factors are living or once-living organisms in the ecosystem. These are obtained from the biosphere and are capable of reproduction. Examples of biotic factors are animals, birds, plants, fungi, and other similar organisms.

I'm unsure how to do this question,, could someone help?

Answers

This is corresponding so...hope this helps!

-9x = 10 - 2y
-48 = 4x+10y

Answers

Answer:

x=−2 and y=−4

Step-by-step explanation:

I will solve your system by substitution.

(Add -4x to both sides)

(Add 48 to both sides)

(Divide both sides by -4)

(Simplify both sides of the equation)

(Add 2y to both sides)

(Add -108 to both sides)

(Divide both sides by 49/2)

(Simplify both sides of the equation)

Answer:

x=−2 and y=−4

I hope this helps :)

The answer is x= -2 and y= -4 have a nice day:)

seeta devi has rs 9 in fifty-paiseand twenty fiv-paise coins. She has twice as many twenty-five paise coins as fifty-paise coins.How many coins of each kind does she have?

Answers

Answer:

50 paise coin = 9

25 paise coin = 18

Step-by-step explanation:

Let :

Number of fifty paise = x

Number of 25 paise = y

50x + 25y = 900 - - - (1)

y = 2x - - - (2)

50x + 25(2x) = 900

50x + 50x = 900

100x = 900

x = 900/100

x = 9

y = 2x

y = 2(9)

y = 18

Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply. − 9 ⋅ ( 2 3 x ) + 9 ( 1 ) − 9 ⋅ ( 2 3 x ) − 9 ( 1 ) − 6 x + 9 − 9 ⋅ ( 2 3 x ) + 1 − 6 x − 9 − 6 x + 1

Answers

Answer:

•(-9 × 2x/3 + 1 × -9)

•-6x - 9

Step-by-step explanation:

Which expressions are equivalent to Negative 9 (two-thirds x + 1)?

Check all that apply.

Negative 9 (two-thirds x + 1) can be expressed as:

-9(2/3x + 1)

Expanding the brackets

(-9 × 2x/3 + 1 × -9)

-6x - 9

Therefore, the expressions that are equivalent to Negative 9 (two-thirds x + 1) is:

•(-9 × 2x/3 + 1 × -9)

•-6x - 9

Answer:

Its  B and F

Step-by-step explanation:

If £25 = 750 rubles, how many £ are in 780 rubles?

Answers

Answer:

26

Step-by-step explanation:

25/750=0.033333

0.033333x780=26

pls help with number 3

Answers

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

solve the equation -30p-2=58 for p.

Answers

Answer:

p=-2

Step-by-step explanation:

1.Combine like terms on both sides.

2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.

3.Add 11 to both sides of the equation.

4.Finally, divide both sides by −10 to get the solution.

PLEASE HELP! I WILL AWARD BRAINLIEST
Sherbrooke, Quebec Is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return to Boston, the train travels 50.4 mph. How many times (or less is the train's speed on the return trip to Boston than the trip to Sherbrooke?

Answers

Answer:

Both trains will meet 120 miles away from Boston

Answer:

Both trains will meet 120 miles away from Boston!!!

Step-by-step explanation:

trust me on this i honestly dont know how to explain this

Does anyone have the answer to this? Please and ty lol

Answers

it will be 0,7 and 1,9

can someone help me please

Answers

Answer:

1A) XY

1B) XY

1C) WX/XY

2) WY is the hypotenuse

Step-by-step explanation:

I need an answer for this it’s due today plss

Answers

Answer:

128

Step-by-step explanation:

2^4/2^-3

= 2^7

=128

Evaluate the following expression
8 to the power of 3–9•2 divided by 3

Answers

Answer:

0.485 in decimals

0.485 that’s the answer

Plz help plzzzzzzzzz

Answers

Answer:

4th option OR last option

Step-by-step explanation:

Ok so I think it means hexagon not heptagon since I have never heard of heptagon. Just confirm that with your teacher if it is hexagon or heptagon.

Hexagon = 6 sides

This means that it is not second option. Nor it is the third option since it said that it should be more than 6 sides. Now we are left with 1st and 4th option. It also mentioned that all opposite sides should be parallel. Looking at the first option, not all sides are parallel. Some are big and some are small. This remains with the last option which is the 4th option.

Hope this helps, thank you !!

Factor out the greatest common factor of Given the expression: 4x^10 − 64x^2

Answers

Part A

4x10 – 64x2

= 4x2 * x8 – 4x2 * 16

= 4x2 * (x8 – 16) by distributive property

Part B

x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.

4x2 * (x8 – 16)

= 4x2 * (x4 + 4) * (x4 – 4)

x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.

= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)

Answer:

Below.

Step-by-step explanation:

The GCF = 4x^2

So its 4x^2(x^8 - 16)

This can be further factored

= 4x^2(x^4 - 4)(x^4 + 4)

= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)

Choose all equations that are equivalent to the equation: 4x−12y=18

a. 2x−6y=9

b. 8x−24y=36

c. 2x−9y=18

d. y= −3/2x + 1/3x

Answers

Answer:

a & b

Step-by-step explanation:

a is the simplified form

b is doubled

hope this helps :)

need help asap!! first gets brainliest

Answers

Answer:

-45

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Jerome deposits $3500 in a certificate of deposits that pays 1.8% interest compounded annually. How much Interest does jerome earn in 1 year?​

Answers

3,500(1.8%) = 63


Jerome will earn 63 more dollars in the next year.

$3,563
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