The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:4:4.1:4:4. If JM=45,JM=45, find JL.JL.

Answers

Answer 1

Answer: JL = 25

Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.

Suppose first segment JK measures d.

The total ratio is the sum of each part

d + 4d + 4d = 9d

The sum of each part corresponds to the total measure of the line segment. Then:

9d = 45

d = 5

Segment JL is

JL = d + 4d

JL = 5d

JL = 5.5

JL = 25

Segment JL measures 25 units.


Related Questions

A newspaper article reports the results of an election between two candidates. The article says that Smith received 60% of the votes and that Murphy received 15 of the votes. A reader writes in to complain that the article cannot be accurate. What reason might the reader have to say this?

Answers

Step-by-step explanation:

Since, smith receives 60% of the vote this means murphy must receive 40% of the vote. Therefore 15 = 40% of the total vote.

Thus total vote = 37.5, which is kind of absurd. As total vote count must be an integer. Moreover, the report must be consistent with the result, which does not seem in this case.

Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems

Answers

Answer:

52 minutes

Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants  to do 20 problems  do 20 divided by 5 (4) then do 13 times 4=52

Walmart is selling 100 mL tubes of toothpaste for $1.79 or 150 mL of toothpaste for $2.19. Which is the better buy?

Answers

Answer:

1.79/100mL = 0.0179

2.19/150mL = 0.0146

so, look at the end numbers

0.0179

0.0146

0.0146 is less than 0.0179

soo, $2.19 / 150mL = 0.0146 is the better buy...

can i be brianiest...

Emelina took a bus to seattle to vist her brother. The bus traveled 636 miles in 12 hours . At this rate, How far did the bus travel in 3 hours?

Answers

Answer:

17.6

Step-by-step explanation:

Answer:

159 miles or if it is in total  it is 795

Step-by-step explanation:

How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 inches and height of 5 1/2 inches?

Answers

Answer:

Step-by-step explanation:

Remark

I'm going to assume that the edges of the cubes are 1/2 inch on each side.

V = 1/2 * 1/2 * 1/2 = 1/8 cubic inches.

Volume of the box

V = L * w * h

Givens

L = 2 inches

w = 3.5 inches

h = 5.5 inches

Solution

V = L * w * h

V = 2 * 3.5 * 5.5

V = 38.5

1/8 has the decimal equivalent value of 0.125

Number of cubes needed = Volume of the box / volume of the cube

Number of cubes needed = 38.5 / 0.125

Number of cubes needed = 308

what is 16y - u + 34x when x = 2 u = 14 and y = 3​

Answers

Answer:

102

Step-by-step explanation:

48-14+68

Hello!! I have a question, can you please answer it. ^^


The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

Answer:

1. 75

2. 1

Step-by-step explanation:

What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3

Answers

Grater factor is3x(x2

Can you help me pls and thank you

Answers

Answer:

80%

Step-by-step explanation:

If you do 4 divided by 5 it equals 0.8, which is 80%

Answer:

The answer is 80%

Step-by-step explanation:

Mrs. Trainer baked 120 cookies. She decided to give 1/6 of them to her students. How many did she take to her students?​

Answers

Answer:

20

Step-by-step explanation:

120/6=20

20x1=20

Answer:

20 cookies

Step-by-step explanation:

What we know:

- Mrs. Trainer baked 120 cookies

- 1/6 of the 120 cookies went to her students

To find the number of cookies that Mrs. Trainer gave to her students, multiply 120 by 1/6.

[tex]120*\frac{1}{6}\\= \frac{120}{6} \\[/tex]

Simplify the fraction

[tex]= 20[/tex]

Therefore, Mrs. Trainer gave 20 cookies to her students.

I hope this helps!

Please do number 16 for me.

Answers

Answer: m∠5 = 75°.

Step-by-step explanation:

We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.

We know that:

"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"

Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)

Then the measure of ∠1 is the same as the measure of ∠5

And we know that m∠1 = 75°

Then we must have that m∠5 = 75°.

Can you please tell me the equation to solve for x

Answers

Answer:

53 + 67 + x = 180

Step-by-step explanation:

Answer:

180 = 53 + x + 67

(A straight line equals 180°)

good luck, hope this helped :)

PLEASE HELP ME!
Solve: system by elimination form

1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------

Answers

1. x=12.5
x=6.5

....

help me i dont understand this

Answers

Answer:

there monthly budget is $4000

Step-by-step explanation:

if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100%  and 40x100=4000 so 100% of there budget is $4000

hope this helps have a blessed day :)

High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?

Answers

Answer:

18.5 in approx

Step-by-step explanation:

Given data

aspect ratio of 16: 9

L= 16in

W= 9 in

We want to find the diagonal of the TV

applying Pythagoras theorem

d^2= l^2+w^2

d^2= 16^2+ 9^2

d^2=256+81

d^2= 337

d= √337

d= 18.35 in

Hence the tv is 18.5 in approx

Construct a linear function that has a slope of -3 and passes through the point (−2,3)

Answers

Answer:

f(x) = -3x - 3

Step-by-step explanation:

you can use the point-slope form to help you.  

[tex]y - y_{1} = m (x - x_{1} )[/tex]     m = slope   and  [tex](x_{1} , y_{1}) = (-2, 3)[/tex]

So,  y - 3 = -3(x + 2)

y - 3 = -3x - 6

y = -3x - 3    or f(x) = -3x - 3

[tex]f(x) = -3x - 3[/tex]You can use the standard form y = mx + c to build that linear relationship.

Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]

Given that:The line has slope of -3The line passes through (-2,3)To find:

The linear function

Relation between linear function and straight line:

A linear function of two variables is always an equation of a straight line and can be converted into standard form y = mx + c (assuming m and c to be finite constants and x and y are variables).

m denotes slope of this line and c denotes intercept on y axis by this line.

If linear function is not of two variables, then we can take the output f(x) as value of second variable.

Since the slope is already given, thus, we have the equation as:

y = -3x + c

Now, since the line passes through (-2,3), thus it must satisfy the equation since the point is member of the family of points who constitute this line(and since the equation shows family of such points, thus the point should satisfy the equation).

Thus,

[tex]y = -3x +c|{(x,y) = (-2,3)}\\ 3 = -3 \times -2 + c\\ 3 = 6 + c\\ c = 3 - 6\\ c = -3[/tex]

Thus, we have the equation of the straight line in consideration as:

y = -3x -3

y is function of x, thus can be rewritten as  [tex]f(x) = -3x -3[/tex] (assuming f doesn't represent any other function as we can't use used symbols in a context to prevent ambiguity)

Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]

Learn more about equation of straight line here:

https://brainly.com/question/19380936

Someone please help :( ?????

Answers

The answer is B darling

hi please help. I will really appreciate it!

Answers

Answer:

sorry but it is not clear pleas take a more clear pic

Step-by-step explanation:

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

Can someone please help me on this and explain if you can!

Answers

Answer:

x = [tex]11\sqrt{2}[/tex]

y = [tex]11\sqrt{2}[/tex]

Step-by-step explanation:

the ratio of the sides of a 45 - 45 - 90 triangle is shown at the bottom of this answer.

as you can see, it is x:x:[tex]x\sqrt{2}[/tex]

The side given is x[tex]\sqrt{2}[/tex], so you have:

[tex]x\sqrt{2}=22[/tex]

divide both sides by [tex]\sqrt{2}[/tex]

x = [tex]22/\sqrt{2}[/tex]

multiply this by [tex]\sqrt{2} /\sqrt{2}[/tex]

[tex]x = 22\sqrt{2}/2[/tex]

[tex]x=11\sqrt{2}[/tex]

y is also equal so y = [tex]11\sqrt{2}[/tex]

no joke i will give brainliest and thanks for the asnwer and go 5 star all ur past answers if u get this correct pls dont do wrong answers

Answers

Answer:

PR = PQ and ST = UT.

If this is not correct then:

PR = 8 ans UT = 2z+3

Step-by-step explanation:

Please help I'm really bad at math. I will mark you brainliest if you get the answer right.

Answers

Answer:

A & D

Step-by-step explanation:

A. 9(3x-1) = 27x-9 ✔

B. 27x-1(9) = 243x-9 ❌

C. 27(x-9) = 27x-243 ❌

D. 3x-1(9) = 27x-9 ✔

E. 9(27x-1) = 243x-9 ❌

F. x-9(27) = 27x-243 ❌

What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
(Hint: a line perpendicular to an equation has an opposite reciprocal slope)

Answers

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

..................Help please!

Answers

Answer:

with

Step-by-step explanation:

what

The difference between 3 times a number x and 2 is 19. What is the value of x? ​

Answers

Answer:

The answer is 7

You can buy 3 apples at the Quick Market for $1.29. You can buy 5 apples at Stop and Save for $2.50. Which place is the better buy?

Answers

Answer:

Quick Mart

Step-by-step explanation:

3 apples for $1.29 equals about 43 cent per apple, while the apples at Stop and Save are 50 cent per apple

Answer:

the quick market

Step-by-step explanation:

the quick make is the better buy because you get each apple for .43 and at stop and save you get each apple for .50

UM what is 53 x 4? I need to know right now.

Answers

Answer:

212 is the correct answer hope it helps

212 is the answer.......

What is 10x+ 5y =30 in function form

Answers

The answer would be y=3 over 5

ASAP! Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

c

Step-by-step explanation:

4^2+7.5^2=8.5^2

Solve for x.
-3(4x-16)=-12
I need an answer and explanation so I can try to do some myself thanks!:)

Answers

Answer:

B. -5

Step-by-step explanation:

this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with

-12x+48= -12

then you want to subtract 48 from both side to leave the x on one side alone

that will be -12x= -60

after that you have to divide both sides by -12 to find your x

so then you will see that your x is = -5! hope this helps!!

How to play the full song fires edge on bb clarinet (actual notes)

Answers

Answer:

cool

Step-by-step explanation:

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