Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment. If HJ=x+10 JK=9x KH=14x−58 a) Draw a sketch of the segments described above b) Write an equaation using the segment addition postulate that will help you solve the problem ___+ ___= c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) ____ = ____ d) x= __ HJ= __ JK= __ HK= __

Answers

Answer 1

Answer:

x= 17

HJ= 27

JK= 153

HK= 180

Step-by-step explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) The diagram of sketch of the segments described above is attached to this answer.

b) KH = HJ + JK

14x - 58 = (x + 10) + 9x

14x - 58 = x + 10 + 9x

c)

14x - 58 = x + 10 + 9x

14x - 58 = 10x + 10

Collect like terms

14x - 10x = 10 + 58

4x = 68

Divide both sides by 4

4x/4 = 68/4

x = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

Hence, HJ = 27

JK= 9x

= 9 × 17

= 153

Hence, JK = 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180

Hence, HK = 180

Suppose J Is Between H And K. Use The Segment Addition Postulate To Solve For X. Then Find The Length

Related Questions

Which of the following would be equivalent to
113
117
117
O 11. 114
115
011

Answers

9514 1404 393

Answer:

  11·11^4

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a = a^1

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . . for any 'a' not 0

__

The given expression is ...

  (11^8)/(11^3) = 11^(8-3) = 11^5

The offered choices are ...

  (11^7)/(11^7) = 11^(7-7) = 11^0 = 1

  11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression

  (11^0)/(11^5) = 11^(0-5) = 11^-5

  11^0 = 1

For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:

Answers

Answer:

It's A

Step-by-step explanation:

Which amount is bigger? x^0, 1/x or x^-1, assuming that x > 1

Answers

Answer:

  x^0

Step-by-step explanation:

1/x = x^-1

For x > 1, this fraction is less than 1, so will be smaller than x^0, which is 1.

x^0 is bigger

find the value of x. (5x+4) 49

Answers

Answer:

X=9

Step-by-step explanation:

5 multiplied by 9 is 45 and 45 plus 4 is 49

Answer:

9

Step-by-step explanation:

Check all that apply.
x2 - 4 = 0
A. X = 4
B. X = -2
C. x = 1
D. X = -4
E. X = 2
F. x = -1

Answers

This is the difference of squares rule. This is essentially the same exact thing as (x-2)(x+2). Apply FOIL and check if you feel the need. We can see the zeros the function are at 2 and -2

Hurry :(
The length of a rectangular door is 35 inches, and the width of the door is 12 inches.
What is the length of a diagonal of this door in inches?

Answers

Answer:

The answer is d=37 in

Step-by-step explanation:

What is an equation of the line that passes through the point
(−6,5) and is parallel to the line x−3y=21?

Answers

Step-by-step explanation:

Parallel lines have the same slope.

x -3y = 21

y = (21-x)/-3 ==== y = 1/3x -7

Substitute the values,

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Thus, the equation is y = 1/3x + 7

An equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21 is y = 1/3x + 7.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We need to find an equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21.

Parallel lines have the same slope;

x -3y = 21

y = (21-x)/-3

y = 1/3x -7

Substitute the values;

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Therefore, the equation is y = 1/3x + 7

Learn more about equations here;

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The _____ is used to compare values that are proportional.

Answers

Values which are proportional are represented by the Greek letter ‘Alpha’
So if A is proportional to B
We put the Alpha symbol between A and B to represent it

The Proportionality Constant is used to compare values that are proportional.

What is the meaning of Proportionality ?

When two variables are proportional to each other , change in one cause the change in the other .

There are two types of proportion, Direct and Indirect.

When on increasing one variable the other increases and vice versa it is called direct proportion .

When on increasing one variable the other decreases and vice versa it is called indirect proportion .

In the given question

The _____ is used to compare values that are proportional.

The Proportionality Constant is used to compare values that are proportional.

suppose

a   ∝  b

a = kb

here k is the Proportionality Constant and is used to compare the values.

To know more about Proportionality

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what is the equivalent ratio to 1:5?

Answers

Answer:

2:10; 3:15; 4:20; etc

Step-by-step explanation:

The equivalent rations can be found by finding a common factor for 1:5. Examples include 2:10, 3:15, 4:20, etc. All of these have a common factor and thus are the equivalent ratios to 1:5.

The equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

Given that,

We need to find the equivalent ratio to 1:5.

Here the equivalent ratio could be determined by measuring the common factor.

Like 2:10 = 1:5

3:15 = 1:5

4:20 = 1:5

Therefore we can conclude that the equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

Learn more: brainly.com/question/25326254

A rectangle has width x + 2 and length 2x - 1 what is it’s perimeter

Answers

Answer:

P=6x+2

Step-by-step explanation:

P=2L+2w

P=2(2x-1)+2(x+2)

P=4x-2+2x+4                     can i get brainliest please?

P=6x+2

four examples of bias​

Answers

Answer:

the 4 main types of bias in research – sampling bias, nonresponse bias, response bias, and question order bias – that are most likely to find their way into your surveys and tamper with your research results

Step-by-step explanation:

.-.

CAN ANYONE HELP ME PLEASE AND THANK YOU

Answers

Answer:

(-3,5)

Step-by-step explanation:

also for a test , due in a couple of hours .

Answers

Answer:

8 d)

Step-by-step explanation:

2x -10 = 3x +6 -4x +8

3x=24

x=8

Answer:

x = 8 (d)

Step-by-step explanation:

Expand

2x -  10 = 3x + 6 - 4x + 8

Collect like terms

2x - 3x + 4x = 6 + 8 + 10

3x = 24

Divide both sides by 3 to make x on its own

x = 8

Can anyone help me with this? Thank you!

Answers

The answer is: It’s 90°

Can anyone see now?
I really need help

Answers

3. Yes the cost of each item is proportional because in each pack each t-shirt cost $2.33. You can check that by dividing the amount of money each pack cost by the amount of shirts in each pack. For example the pack of 3 is $7, so 7/3 = $2.33. The pack of 5 cost $11.65, so 11.65/5 = $2.33. And the pack of 7 cost $16.31, so 16.31/7 = $2.33

4) Yes, it is proportional because each x is being squared or multiplied by it’s self.
By this comment I mean I am a liar and you don’t need me me a favor to you you don’t want me me you wanna fight sonic or something you don’t know how

How much is it | -7.9|?
Plllzzzzzz help mark you brainliest

Answers

Answer:

7.9

Step-by-step explanation:

When a number (or multiple numbers) is placed between two lines like this | |, that is the absolute value grouping symbol. Absolute value is the distance between the grouped number(s) and another defined number. In this case there are no other given numbers so 0 is assumed.

Now, say a friend is driving to your house and you call them to ask how far away they are from arriving (in distance), and they say "Around negative 5 miles away." That doesn't make sense! Distance can never be negative, and because absolute value is the distance between a number and another, a number within that grouping symbol can never be negative if there is a solution. Therefore, |-7.9| would be 7.9, because -7.9 is that exact amount away from 0.

What is -1 1/4 + 1/2

Answers

-0.75

plz mark as brainliest

Answer:

-1 3/4

Step-by-step explanation:

Please help thanks I appreciate it .

Answers

it’s congruent because both of the shapes are very similar to each other.
I’m pretty sure the answer is B!! :)

Factor the expression using the GCF 48+80
Please Help.

Answers

Answer:

Then common factor is 16

Step-by-step explanation:

The factored expression is equivalent to -

8(6 + 10)

What is Greatest Common Factor?

In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given is to factor the given expression using the greatest common factor A = 48 + 80

For -

48 = 2 x 2 x 2 x 2 x 3

80 = 2 x 2 x 2 x 5

Using the greatest common factor, we can write -

48 + 80

8(6 + 10)

Therefore, the factored expression is equivalent to -

8(6 + 10)

To solve more questions on functions, expressions and polynomials, visit the link below -

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todo esta en la foto Everything is in the picture

Answers

vendieron un total de 7 camas elásticas porque 689.50 / 98.50 son 7. (they sold a total of 7 trampolines because 689.50/98.50 is 7)

Find the slope when given the two points (-7, 4) and (-14, 3) a 7 b -1/7 c 1/7 d -7

Answers

Answer:

c

Step-by-step explanation:

because slope formula is

y1-y2/x1-x2 and 4-3 is 1 and -7- -14 which turns into -7 + +14 equals 7 so 1/7

I need to Know this Please.

Answers

Answer:

The last one is the answer

The water depth in a lake decreases at a rate of 2 inches per day because of evaporation. How much does the water depth change in 8 days? In 15 days? In 8 days, the water depth changes by inches. In 15 days, the water depth changes by inches.

Answers

Answer: In 8 days it will decrease by 16 inches and  in 15 days the water depth changes by 30 inches.

Step-by-step explanation:

The water depth decreases at a rate of 2 inches per day so in this case if were to write it as an expression it will be -2x  where x is the number of days.

We will have to set it equal the total amount that it has decreased which will be y.

y= -2x    If x  represent the number of days we will put in the days and solve for y.

y = -2(8)

y = -16     This means that in 8 days it will decrease by 16 inches.

y = -2(15)

y= -30   This also means that in 15 days the water depth changes by 30 inches.

please help. you don’t have to give me a explanation. it’s fine. but please help.

Answers

Answer:

Question 3 is- B. 8 ounces

Step-by-step explanation:

i really need help i dont understand geometry please answer both

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{100}[/tex] ( multiply both sides by 100 )

100 × tan35° = opp , that is

opp ≈ 100 × 0.7002 = 70.02

Thus height of tree = 70.02 + 5 = 75.02 ft

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

Using the tangent ratio in the right triangle on the right.

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25.17}{rope}[/tex] ( multiply both sides by rope )

rope × tan40° = 25.17 ( divide both sides by tan40° )

rope = [tex]\frac{25.17}{tan40}[/tex] = [tex]\frac{25.17}{0.839}[/tex] = 30 ft

8th grade urgent math super easy please

Answers

Answer:

n> -6

Step-by-step explanation:

-35n -28< 182

         +28    +28

______________

-35n < 210

n> -6

the roaming sell phone company charge's 15.00 a month plus 0.20 per minute of airtime usage. if juanita uses x minutes of air time what is the equation that can be used to determine her monthly phone bill (c)?​

Answers

Answer:

$63.00

Step-by-step explanation:

Since you have sales tax, you would do a 10% sales tax for 15 dollar

10/100 = x/15

Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated

You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars.

5 is 1/2 of what number?

pls help!!​

Answers

10.

Explanation:

5 x 2 equals 10.

:)

Answer:

10

Step-by-step explanation:

Because 5 + 5 is 10, so 1/2 of 10 + 1/2 of 10 = 10

You decide to start a dog walking business and are trying to plan how much you to charge. You determine that you can only walk 5 dogs at the most at any given time. You also decide to charge in 30 minute intervals and, due to your schedule, you can only walk for 3 hours a day. Based on those conditions, what is the most amount of dogs that you can walk in a given day?

Answers

Answer:

The most amount of dogs that you can walk in a given day is 30 dogs.

Step-by-step explanation:

You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?

[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]

amount of intervals= 6 intervals

You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?

[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]

amount of dogs= 30 dogs

The most amount of dogs that you can walk in a given day is 30 dogs.

Using the figure on the left, what is the measure of

Answers

Answer:

c = 30°

d = 60°

Step-by-step explanation:

Angle ZWC is a 90° angle

Angle YWX is a 60° angle

add them together and you get 150°

180 - 150 = c = 30°

c + d + 90° = 180°

substitute

30° + d + 90° = 180°

combine like terms

120° + d = 180°

subtract 120° from both sides

d = 60°

hope this helps!!

Answer:

c is 30 and d is 60

Step-by-step explanation:

I did it for hw

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