The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI: IJ: JK is equal to 2:1: 2. If HK = 25, find JK.

Answers

Answer 1

Step-by-step explanation:

Given,

ratio of HI, IJ , Jk = 2 : 1 : 2

let their value be

HI = 2x

IJ = x

JK = 2x

HK = 25

according to question,

HI + IJ + JK = Hk

now, after inserting the values we got,

2x + x + 2x = 25

5x = 25

x = 25/5 = 5

x = 5

therefore value of,

HI = 2x 2×5 = 10

IJ = x 5

JK = 2x 2×5 = 10

Hence, value of JK is 10.

hope this answers helps you dear...take care and may u have a great day ahead!


Related Questions

HELP. What is A=^-1?

Enter your answer by filling in the boxes. Enter any fractions as simplified fractions

Answers

Answer:

-1/6[24 -9]

[ 2 1]

Step-by-step explanation:

1×_24=-24

-2×9=-18

-24--18=-6

1/2 tsp of salt makes 16 cookies. how many salt would you need for 55 cookies?

Answers

Answer:

Step-by-step explanation: 1/2x=16

16x4=64, Although this is not exactly 55 cookies, you can either make more or less. So you need 4 salt, to make 55.

Answer:

[tex]\frac{55}{32}[/tex] tsp

Step-by-step explanation:

To find out how much salt you would need to make 55 cookies, you need to find how much salt makes 1 cookie:

If [tex]\frac{1}{2}[/tex] tsp of salt makes 16 cookies, then ([tex]\frac{1}{2}[/tex] ÷ 16) tsp of salt will make 1 cookie.

But how much is [tex]\frac{1}{2}[/tex] ÷ 16?

To divide fractions with different denominators easily, use the SFM method:

S - Skip

F - Flip

M - Multiply

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{16}{1}[/tex]      First, Skip your focus to the 2nd number. This is what will be changed.

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{16}[/tex]      Next, Flip the numerator and denominator.

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{16}[/tex]      Finally, multiply the two numbers together.

[tex]\frac{1}{32}[/tex]

[tex]\frac{1}{32}[/tex] tsp of salt will make 1 cookie.

Now to find the amount needed for 55 cookies:

To find the amount of salt needed to make 55 cookies, multiply [tex]\frac{1}{32}[/tex] × 55.

[tex]\frac{1}{32}[/tex] × [tex]\frac{55}{1}[/tex] = [tex]\frac{55}{32}[/tex]

Because the fraction cannot be simplified further, the amount of salt that is needed to make 55 cookies is [tex]\frac{55}{32}[/tex] tsp.

-
7q + 1) + (9q - 13)
Answer

Answers

Answer: The simplest form of this equation is 16q-12

Step-by-step explanation:

Answer:

(-7q+1) + (9q-13)

2q - 12

Step-by-step explanation:

The first step you'll take is to combine like terms:

-7q + 1 + 9q - 13 ⬇

-7q + 9q + 1- 13

Then subtract or add the terms⬇

1: -7 + 9q = 2q

2: 1 - 13 = 12

So... 2q - 12

Then this would be your answer!

Tell me if this helps- or if I answered your question! :)

If the question was (7q + 1) + (9q - 13) tho... the answer would be 16q - 12, just follow the same steps⬆

Describe two different sequences of transformations in
which the blue figure is the image of the red figure?

Answers

For 26

a) We could first rotate clockwise 90 degrees from the origin, and then reflect on the x axis.

b) We could rotate counterclockwise 90 degrees and then reflect on the y axis.

For 27

a) Rotate counterclockwise 90 degrees from the origin, then translate down 1

b) Reflect on x axis, rotate 90 degrees clockwise, then reflect on x axis, translate down 1, left 1

These are just a couple of the possible ways to solve this, try to figure out some more for yourself!

(x+4)^2 as a trinomial please!!

Answers

The answer is x^2 + 8x + 16

✨100 points so hurry✨What is the length of NA?
O2 units
09 units
11 units
14 units

Answers

Answer 9
5x-1=6x-3
2=x

Please Please Please help me

Answers

Answer:

18 [tex]\sqrt{5\\}[/tex]

Step-by-step explanation:

Answer:

Original: 40.249223595

Simplified: 40.2

Step-by-step explanation:

3√5 = 6.7 (simplified)

15√5 = 33.5 (simplified)

6.7 + 33.5 = 40.2

Burton wants to rent a bike to go trick-or-treating so he can get to more houses. One place he
found charges $27.50 per hour to rent the bike and helmet. The second place charges $23.25 per
hour for the bike and an additional $17 for the helmet. Write and solve an equation to determine the
number of hours that Burton could rent a bike and helmet from either company at the same cost."

Answers

Answer:

first company=3 hours × $44.5

second one=3.317 hours × $40.25

both will be equal $133.5

Step-by-step explanation:

i hope that what u wanted

please someone help me with this pleaseee I'm giving brainliest!!

Answers

Answer:   11

[tex]\sqrt{114}[/tex] = 10.67707825

rounded to nearest whole number would be 11

Answer:

11

Step-by-step explanation:

The length of a living room is 12 feet and its width is 10 1/2 feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet. A. 10.5(12x) square feet B. (10.5 + 12 + x) square feet C. 10.5(12 + x) square feet D. 126x square feet E. (126 + 10.5x) square feet F. (22.5 + x) square feet

Answers

Answer:

Step-by-step explanation:

12 ft x 10.5 ft = Area1

(12+x)*(10.5) = Area2

That looks like C. 10.5(12 + x) square feet

Simplify
17x + 5y - 4x + 10y

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Simplification :

[tex]17x + 5y - 4x + 10y[/tex]

[tex]13x + 15y[/tex]

Answer:

13x + 15y

Step-by-step explanation:

Combine Like Terms:

= 17x + 5y + − 4x + 10y

= (17x + −4x) + (5y + 10y)

= 13x + (5y + 10y)

= 13x + 15y

Presley fills a cup in the shape of a cone with water. The cup has a diameter of 3.6 inches and a height of 6 inches. The volume of water Presley will use to completely fill the cup is ____ cubic inches.

Answers

Answer:

3.5 bro this is literally the best I could do, hopefully it helps

Step-by-step explanation:

take care

Help stuck on this question

Answers

Answer:

x = 15

Step-by-step explanation:

<JKM is the sum of the two smaller angles.

<JKL + <LKM = <JKM

<JKM = 154

<JKL  = 6x

<LKM = 3x + 19

6x + 3x + 19 = 154             Subtract 19 from both sides

9x + 19 - 19 = 154-19         Combine            

9x = 135                            Divide by 9

9x/9 = 135/9

x = 15

Point M is located at (-2,7). If point N is 13 units away from point M, how many possible cordinate pairs

Answers

Answer:

(-15,7) (11,7) (-2,20) (-2,-6)

Step-by-step explanation:

There are four possible coordinate pairs which are (-15,7), (11,7), (-2,20) and (-2,-6).

Given that Point M is located at (-2,7).

If point N is 13 units away from point M,  we have to find the possible cordinate pairs.

When N is vertically upwards of M, then the x point will not change but the point y is increased by 13.

So the point N is located at (-2, 7+13) which is (-2, 20).

When N is vertically downwards of M, then the x point will not change but the point y is decreased by 13.

So the point N is located at (-2, 7-13) which is (-2, -6).

When N is horizonatally rightside of M, then the y point will not change but the point x is increased by 13.

So the point N is located at (-2+13, 7) which is (11, 7).

When N is horizonatally leftside of M, then the y point will not change but the point x is decreased by 13.

So the point N is located at (-2-13, 7) which is (-15, 7).

Hence, there are four possible coordinate pairs which are (-15,7), (11,7), (-2,20) and (-2,-6).

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ3

1-3n+2n=13+2n
A)0
B)-16
C)-4
D)4

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Original Equation:

1-3n+2n=13+2n

Combine like terms:

1-n=13+2n

Transfer the 1:

-n=12+2n

Transfer 2n:

-3n=12

Divide: (by -3)

n=-4

Hope this helps! :)

mathematics question

Answers

Answer: a

adding the two polynomials will give you the answer a

if you'll add the two polynomials above it appeared that the answer is letter B

The highway has a maximum speed limit of 55 mph. Which vehicles are safely
obeying this speed limit? Check all that apply.

Answers

Answer:

the limousine, the sorts car and the school bus

Three angles are in the ratio 2 : 3 : 5. The smallest angle is 50⁰.Work out the sizes of the other two angles.

Answers

ratio = 50 ÷ 2 = 25° ( ratio numerical)

25 × 3 = 75° ( 2 angle)

25 × 5 = 125° ( angle 3)

50° ( given as angle 1 )

- BRAINLIEST answerer ❤️

121°
(9
)
106
C=
How do I find the variable of c

Answers

Answer:

I have no clue to be honest. im just answering for points so I can ask some of my questions

Fill in the blank with an appropriate term to make the equation correct, then determine the property illustrated in each item. Number one is done as your guide. EQUATION MISSING TERM PROPERTY OF EQUALITY 1. 4 + ________ = 0 _____ − 4 _ Additive Inverse Property _ 2. ________ + 3x = 3x __________ __________________________ 3. 2x + 3y = 3y + ________ __________ __________________________ 4. (____)(5) = 5 __________ __________________________ 5. (____)(7x) = x __________ __________________________

Answers

Answer:

Missing term

1. -4

2. 0

3.2x

4. 1

5. 1

Property of equality

1. Additive inverse property

2. Additive Identity property

3.commutative property of additional

4. Multiplicative identity property

5. Multiplicative inverse property

Yeah I need this answer

Answers

Answer: it’s B or D

Step-by-step explanation:

Please help I’ll mark brainliest!

Answers

Answer:

Disciminant of f = 0

x-intecept = [tex](\frac{3}{2}, 0)[/tex]

Step-by-step explanation:

Given the quadratic function, -4x² + 12x - 9

where a = -4, b = 12, and c = -9

The discriminant, b²- 4ac, is the expression inside the radical (numerator) of the quadratic formula:

[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}[/tex]

The first part of your given problem asks for the discriminant. Substitute the values for a, b, and c:

b²- 4ac = 12² - 4(-4)(-9) = 144 - 144 = 0  → This implies that the quadratic function has one real root.

Therefore, the disciminant of f is 0.

Next, the given problem asks for the x-intercepts. The x-intercept is the point on the graph where it crosses the x-axis. As I mentioned earlier, the function has one real root. Therefore, it means that there is only 1 x-intercept.  To find out what the x-intercept is, use the quadratic formula:

[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x = \frac{-12 +/- \sqrt{12^{2}-4(-4)(-9)} }{2(-4)}[/tex]

[tex]x = \frac{-12 +/- \sqrt{144 - 144} }{-8}[/tex]

[tex]x = \frac{-12}{-8} = \frac{3}{2}[/tex]

Therefore, the x-intercept is [tex](\frac{3}{2}, 0)[/tex].  

please help!! I’ll give you brainliest answer!! Find the value of
x to the nearest tenth.

Answers

A^2 + B^ = C^2
First solve the smaller triangle since we have both sides. I’m calling h the third side.

4^2 + 5^2 = h^2
16 + 25 = h^2
H^2 = 41 (take the square root)
H = 6.4

Now we use that number with the side = 6 the same way to get X.

6^2 + 6.4^2 = x^2
36 + 41 = x^2
77 = x^2 (take square root)
X = 8.8 (rounded up)

A graphed line has a slope of which of the following points could the line contain?
A. (15, 13) and (0, 4)
B. (3, 9) and (6, 14)
C. (0, 4) and (19, 9)
D. (5, 7) and (10, 10) ​

Answers

Answer is B

A. 4-13/0-15 = -9/-15 = -3/-5
B. 14-9/6-3 = 5/3
C. 9-4/19-0 = 5/19
D. 10-7/10-5 = 3/5

The sum of 6 consecutive integers is 39

Answers

Answer:

65

Step-by-step explanation:

- 8x – 3=17 - given -8x=20​

Answers

Answer:

-20

Step-by-step explanation:

I belive )

you could check using the internet step by step

what is point-slope form means

Answers

hi!! here’s a picture of the point-slope form formula. you can use an online calculator such as https://www.omnicalculator.com/math/point-slope-form for a specific answer!! :)

Please help me with this

Answers

Answer is 6 (D)

45 - 39 = 6
39 - 33 = 6
33 - 27 = 6

Answer:

A. - 6

Is the common difference

see the expressions below that prove so.

Step-by-step explanation:

The sequence shows -6 to each number is same as k-6 or even n-6

we use such letters to represent 1 value. Also the reason it is a negative number is because the numbers are decreasing within the sequence.

The nth expression is the first term equation shows -6n

and the number prior to 45 is  45+6 = 51

Put together this creates our nth term =   -6n + 51

The next term is where we use the common difference also.

next nth term =  (27) + (- 6) = 21   and so on proves it the 5th term

5th nth term = -6 x 5 +51 = 21

100th nth term = -6 x 100 +51 = -549

What is the value of n in this equation 2^2 x2^n =(2^4)^3

Answers

Answer:

n = 10

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Then

2² × [tex]2^{n}[/tex] = [tex](2^4)^{3}[/tex]

[tex]2^{2+n}[/tex] = [tex]2^{12}[/tex]

Since the bases on both sides are equal, both 2 then equate exponents

2 + n = 12 ( subtract 2 from both sides )

n = 10

The PERIMETER of a rectangle is 75 millimeters. If the width of the rectangle is 20 millimeters, what is the length?

Answers

Answer:

Step-by-step explanation:

cat

The length is 50 I think

Hope this helps

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