The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF: FG: GH is equal to 5 : 2:3. If EH = 60, find GH

Answers

Answer 1

Answer:

Hello,

Step-by-step explanation:

ratio of EF: FG: GH is equal to 5 : 2:3.

[tex]\Longrightarrow \dfrac{EF}{5} =\dfrac{FG}{2}=\dfrac{GH}{3}=k\\\\EF=5*k\\FG=2*k\\GH=3*k\\\\\\EH=EF+FG+GH=5k+2k+3k=10k\\\\EH=10k=60 \Longrightarrow k=6\\\Longrightarrow GH=3*k=3*6=18(cm)[/tex]

Answer 2

The length of GH is 18 units.

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment EH, where the length of line segment EH refers to the distance between its endpoints, E and H.

Given that the points E, F, G and H all lie on the same line segment

E______________F______________G_____________H

We have to determine GH

We have the ratio of EF: FG: GH is equal to 5 : 2 : 3.

Then EF/5 =  FG/2 = GH/3 = c

So EF = 5c, FG = 2c, and GH = 3c

Given that EH = 60,

⇒ EH = EF + FG + GH

⇒ 60 = 5c+ 2c+ 3c

⇒ 10c = 60

⇒ c = 60/10

⇒ c = 6

So GH = 3(6) = 18

Hence, the length of GH is 18 units.

Learn more about the line segment here:

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#SPJ2


Related Questions

I can't find Y, please help!

Answers

Answer:

x = 50 and y = 10

Step-by-step explanation:

The drawing shows several equal sides.  The triangles are a reflection of each other, so their angles will be the same.

Take the top and bottom angles:

2x + 5 and 3x - 45

They are equal, so:

2x + 5 = 3x - 45

-x = -50

x = 50

The angle y will have the same value as the one below it in the bottom triangle.  Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:

y + (8y-15) + (3x-45) = 180

Rearrange:

y  = 180 - (8y-15) - (3x-45)

y  = 180 - 8y + 15 - 3x + 45

9y = 180 + 15 - 3x + 45

Since x = 50:

9y = 180 + 15 - 3*(50) + 45

9y = 180 + 15 - 150 + 45

9y = 90

y = 10

Please I really need help I’ll give brainliest
Based on the information in the diagram, which triangle
congruence property can be used to justify that triangle ABC is congruent to triangle FGH?

Answers

Answer:

In this I would choose C

Step-by-step explanation:

the small squares and circles around a selected graphic are called ____ handles.

Answers

the answer is sizing

One angle of an isosceles triangle measures 34º. Which other angles could be in that
isosceles triangle?

Answers

Answer:

112º and 73º

Step-by-step explanation:

34º could be base angle

Base angles are equivalent

Vertical angle would be = 180 - 34 - 34

Vertical angle = 112º

34º could be vertical angle

Base angles are equivalent

2x = 180 - 34

Base angle = 73º

what's the answer to this math problem?


3c+2= −10

Answers

Answer:

c=-4

Step-by-step explanation:

3c+2=-10

3c=-12

c=-4

what is the slope of the line ?

Answers

Answer:

The slope is 3/4 or 0.75.

Step-by-step explanation:

Let's take two points on a line. (-3,2) and (1,-1).

Now, determine the rise and run.

Rise: 3 Run: 4

Slope = Rise/Run

=> 3/4

Conclusion:

Therefore, the slope is 3/4 or 0.75.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

what situation can be represented by this equation 15 + x = 63.75

Answers

315 the answer

15 + x = 63.75

Answer:

63.75 minus 15 equal to 48.75

Simplify the expression
x - (12 – 5x)

Answers

Answer:

6x - 12

Step-by-step explanation:

Simplify the expression

x - (12 – 5x) =

x - 12 + 5x =

6x - 12

solve one step equation


-9x = 45

Answers

Answer:

x=-5

Step-by-step explanation:

45÷-9=-5

Can someone Please help me on this easy math problem

Answers

Choose number 3 is the correct one and please put me in brilliant thanks and your answer it would be correct

pls help I don't understand ​

Answers

Answer:

1400

Step-by-step explanation:

two ways to do this

1, find the area of the shaded place.

2, find the area of the whole thing, subtract by the area of the corners.

          this way is easier so its what ill do

whole box is 60*30=1800

3 corners are 10*10=100    15*10=150    and   15*10=150

1800-150-150-100 = 1400

or you could do it the first way

bigger box is 20*45=900

long box is 10*35=350

small box is 15*10=150

900+350+150=1400

Calculate the frequency of a wave with a speed of 130 m/s and a wavelength of 2.5

Answers

Answer:

  52 Hz

Step-by-step explanation:

We can divide the speed by the wavelength to find the number of waves propagated in one second:

  (130 m/s)/(2.5 m/wave) = 52 waves/s

The SI unit of frequency is the Hertz, equal to one cycle per second.

The frequency of this wave is 52 Hz.

_____

Additional comment

The use of the unit Hz to signify frequency was adopted in 1933, but did not replace the unit "cycles per second" (CPS) until a number of years later.

Will mark brainliest

Answers

Answer:

The purple square

Step-by-step explanation:

Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28

Answers

Answer:

X = 7

Explanation

2x-6=8

2x=6+8

2x=14

2x/2 = 14/2

x = 7

If the human heart beats an average of 68 beats in
a minute, how many times will it beat in 84 minutes?
А
5,712
B 5,612
152
5,702

Answers

5,712
Because you just have to multiply
A.5,712 if the human heart beats an average of 68 beats in a minute

which angles are correspoding angles

Answers

Answer:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

is this correct????????

Answers

only use this one pls. Lol

Answer:

its half way correct. get rid of the dot on the 2.

Step-by-step explanation:

the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located

Jake took 4 piano lessons last month. For each lesson, he memorized 2 major scales and x minor scales.

Answers

b and c are the answers i think....

PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST

Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)

Answers

Answer:

[tex]\sqrt[3]{x}[/tex]

[tex]x^3[/tex]

is

Step-by-step explanation:

80 cm of 2m express as percentage​

Answers

Answer:

There are 200 centimetres in 2 metres. Therefore, 80 centimetres is equal to 80/200 x 100 = 40 percent of 2 metres

Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores

Answers

Answer:

95

Step-by-step explanation:

Mode is what is the most frequent number that occurred; 95 occurred the most from the data.

The length of a rectangle is 5cm more than its breadth . if the perimeter of the rectangle is 40cm , find the dimension of the rectangle .

Don't give unwanted ans to get the points
no spams and plagiarism ( kindly stay out of the question if you don't know the ans )
well explained ans needed

thx !!

Answers

Let the breadth of the rectangle be x cm lenght of the rectangle = ( x + 5 ) cm

perimeter of the rectangle = 2 ( l + b )

2 ( x + x + 5 ) cm 2 ( 2x + 5') cm ( 4x + 10 ) cm

4x + 10 = 40

4x = 40 10 ( transpose 10 to RHS )

x = 30/4 = 7.5 ( divide both sides by 4 )

lenght of the rectangle = x + 5 = 7.5 + 5 = 12.5 cm breadth of the rectangle = x = 7.5 cm

Breadth be xLength be x+5

ATQ

[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2x+5=20[/tex]

[tex]\\ \sf\longmapsto 2x=15[/tex]

[tex]\\ \sf\longmapsto x=7.5[/tex]

Length=12.5cmBreadth=7.5cm

It takes 5 builders 3 1/2 hours to build a wall. How many hours will it take for 2 builders to build an identical wall?.

Answers

Answer:

8.75 hours for 2 builders so complete it

Step-by-step explanation:

its right because im smart and i say its right

If it takes 5 builders [tex]3\frac{1}{2}[/tex] hours to build a wall, it will take 2 builders  [tex]8\frac{3}{4}[/tex] hours to build an identical wall

The time taken for 5 builders to build the wall = [tex]3\frac{1}{2}[/tex] hours

The time take for 5 builders to build the wall = 3.5 hours

Time taken for 1 builder to build an identical wall =

5 x  (Time taken for 5 builders to build the wall)

Time taken for 1 builder to build the wall = 5  x  3.5

Time taken for 1 builder to build the wall = 17.5 hours

Time taken for 2 builders to build an identical wall = (Time taken for 1 builder)/2

Time taken for 2 builders to build an identical wall = 17.5/2

Time taken for 2 builders to build an identical wall =  8.75 hours

Time taken for 2 builders to build an identical wall = [tex]8\frac{3}{4}[/tex] hours

Learn more here: https://brainly.com/question/25874783

Determine whether each equation represents a proportional relationship.

Y=2.5x

y= x - 4

Answers

Answer:

y=2.5x - Proportional  

y= x - 4 - Not Proportional  

Step-by-step explanation:

A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.

The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.

However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.

Hope this helps.

Can someone pls help me with this question?
Use the image below
Find the slope of the line in simplest terms.
Options:
1. 8
2. 4
3. 2
4. 1/2

Answers

Answer:

I think your anwser would be 4 im not sure

Step-by-step explanation:

8. The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the Moon is approximately 2x10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A. 450
B. 222
C. 45
D. 18​

Answers

Answer:

A

Step-by-step explanation:

To find how many times the distance, we divide the distance to the sun by the distance to the moon.

we get:

(9 * 10^7) / (2 * 10^5)

First, lets isolate and simplify the powers of 10.

(9 /2) * (10^7/10^5)

(9/2) * (10^2)=(9/2) * 100

Solve

9/2*100=4.5*100=450

What is the slope of (-3, -2) and (-1, -5) ??

Answers

Answer:

-3/2 or -1 1/2

Step-by-step explanation:

The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2

Answer:

-3/2

Step-by-step explanation:

slope ('m') formula:  (difference of the y-values) ÷ (difference of the x-values)

m = -2-(-5) ÷ -3-(-1)

m = 3 ÷ -2

slope = -3/2

In a certain town, 80% of all married men are working, and 75% of all married men are over 35 years old. Among working married men, 70% are over 35 years old. What proportion of non-working married men are over 35 years old?
answer: 95%
working is needed​

Answers

It helps to set up a two way table as shown below. Such tables compare 2 different variables. In this case, we're comparing the variables "working status" and "age".

Specifically, the working status separates the men into "working vs non-working". The age variable splits the men into groups of "35 or younger" and "over 35". Usually, but not always, each variable will take on two values.

Let's say this town had 1000 married men. 80% of this is 0.80*1000 = 800 to indicate there are 800 married working men. So we write this in the "total" column for the "working" row. This leaves 1000-800 = 200 nonworking married men, which will go right under the 800.

We're told that 75% of the married men are over 35, so 0.75*1000 = 750 married men are over 35. This goes in the "total" row for the "over 35" column. There are 1000-750 = 250 married men who are 35 and under.

As you can see, the stuff in the total column and the total row must add back to the grand total of 1000 married men overall.

--------------------------------

Another bit of info given is that "Among the working married men, 70% are over 35". We'll only focus on the "working" row. We have 800 total and 70% of this is 0.70*800 = 560 which is the number of working married men over 35. This leaves 800-560 = 240 married men who are not over 35.

At this point, we have 2 spots left in the table. Through guess and check, or using algebra, you should find that there are 190 non-working men over 35 and 10 non-working men who aren't over 35. Make sure that each row and column total checks out.

--------------------------------

By now, the table is fully filled out. See below.

Your teacher now asks "what proportion of non-working married men are over 35 years old?" which means we'll only focus on the "non-working" row. There are 200 men total here, and of this total, 190 are over 35.

So, 190/200 = 0.95 = 95% of the non-working married men are over 35.

Find the roots of the equation: y^2-1/16=0

Answers

Answer:

1/4, -1/4

Step-by-step explanation:

Simply solve for y

60 devided by n=12 wwwwwwwwwwwwwww

Answers

Answer: N IS 5!!

Step-by-step explanation: TRUST ME IM GOOD AT MATH!!!!

Answer:

60 ÷ 5 = 12

So I guess 5 is the answer your looking for?

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