Point J is between H and K on line segment HK. Use the given information to solve for X. Also find the length of line segment HJ.
HK = 33
HJ = 3x-4
JK = 2x+7
X= ?
The length of line segment HJ= ?

Answers

Answer 1

Answer:

x=-3, so now u plug it in, 3(-3)-4=?

answer: HJ is -13.

Answer 2

Using line segments concepts, it is found that:

The value of x is 6.The length of line segment HJ is 14.

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

Point J is between H and K in a line segment HK, thus:

[tex]HK = HJ + JK[/tex]

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

We are given that:

[tex]HK = 33[/tex][tex]HJ = 3x - 4[/tex][tex]JK = 2x + 7[/tex]

Thus, replacing into the equation, it is possible to solve for x.

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

[tex]HK = HJ + JK[/tex]

[tex]33 = 3x - 4 + 2x + 7[/tex]

[tex]5x + 3 = 33[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5}[/tex]

[tex]x = 6[/tex]

The value of x is 6.

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

The length of line segment HJ is:

[tex]HJ = 3x - 4 = 3(6) - 4 = 18 - 4 = 14[/tex]

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Related Questions

Anyone know the question?
Helpp !

Answers

Answer:

[tex]-\frac{1}{2}[/tex] is the slope value.

Step-by-step explanation:

By using the definition of slope (Δy/Δx), we can reason that the slope is:

[tex]\frac{-1}{2} = -0.5[/tex]

Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total? 8 15 19 26

Answers

Answer:

I believe the answer is D) 26.

Step-by-step explanation:

Xavier will need 26 weeks to first bike more than 500 miles.

Arithmetic Progression

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the successive terms is the same.

Sum of n terms of an arithmetic progression

The distance biked by Xavier during his first week of training is 15 miles.

The increase in the distance biked each week is 0.4 miles.

And we have to find the number of weeks required to first bike more than 500 miles total.

The given situation represents an arithmetic progression (AP) in which,

First term, a = 15

The common difference, d = 0.4

And the sum of n terms, Sn = 500

The formula to find the sum of n terms of an AP is,

[tex]\text{S}_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

How to check which option is correct?

We will check which option is correct by putting them in the above equation.

For n = 8, we have

[tex]\text{S}_n = \dfrac{8}{2}[2\times15+(8-1)0.4][/tex]

Sn = 4[30+2.8]

Sn = 131.2

Which is not more than 500, so option (A) is incorrect.

For n = 15, we have

[tex]\text{S}_n = \dfrac{15}{2}[2\times15+(15-1)0.4][/tex]

Sn = 7.5[30+5.6]

Sn = 267

Which is not more than 500, so option (B) is incorrect.

For n = 19, we have

[tex]\text{S}_n = \dfrac{19}{2}[2\times15+(19-1)0.4][/tex]

Sn = 9.5[30+7.2]

Sn = 353.4

Which is not more than 500, so option (C) is incorrect.

For n = 26, we have

[tex]\text{S}_n = \dfrac{26}{2}[2\times15+(26-1)0.4][/tex]

Sn = 13[30+10]

Sn = 520

Which is more than 500, so option (D) is the correct answer.

Hence, Xavier would bike more than 500 miles in 26 weeks.

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please just answer at least one ​

Answers

answer: (4) d=112 (7) 2.75 or 2 3/4

explanation: pictured below

James ran 80 miles, xavier ran 0.75 of the total number that james ran. How many miles did Xavier run?

Answers

Answer:

60 miles

Step-by-step explanation:

wat is the answer to [x l 2 < x < 2]​

Answers

Answer: the empty set

Step-by-step explanation:

There are no real numbers x such that x>2 and x<2, simultaneously.

Answer:

x= -0.7667

Step-by-step explanation:

³√3²×5²×2³√3×5 help me plz

Answers

Answer:

750

3000 6^√3= 3602.8109

Step-by-step explanation:

i cant tell for the middle part if its

2.  ³√3 or 2³. √3

so the first answer is for the first one and the second is for the second one

A gallon of milk cost 1.99. A half-gallon cost 3.89. Is this proportional or nonproportional?

Answers

Answer:

Non Proportional

Step-by-step explanation:

A proportional figure relates to two or more figures that correspond in size or amount to one another. The gallon of milk which costs 1.99 is nonproportional to the half-gallon which costs 3.89.

On the other hand, a nonproportional figure does not correspond to in size or amount to one another.

From the given information;

A gallon of milk cost = 1.99

A half-gallon cost 3.89

i.e.

[tex]\mathbf{= \dfrac{1}{2} \times 3.89}[/tex]

= 1.945

Therefore, we can conclude that the gallon of milk which cost 1.99 is nonproportional to the half-gallon which cost 3.89.

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Jerome’s parents want to make sure he keeps reading for the summer. So they made deal, for every 7 minutes of reading he earns one minute of game time. How many minutes of video game time will he earn if he reads for 147 minutes?

Answers

Answer:

21 minutes of game time.

Step-by-step explanation:

Since its every 7 minutes he reads he gets one minute of game time and reads fir 147 minutes you would divide 147 by 7 to get 21 minutes of game time. hope this helped :)

Write a ratio for the following situation: For every 5 female teachers, there are 2 male teachers

Answers

Answer:

the answer would be 5:2

Which multiplication equation could represent the area model?


5.03×2.02=10.165 point 0 3 times 2 point 0 2 is equal to 10 point 1 6

3.05×2.02=6.163 point 0 5 times 2 point 0 2 is equal to 6 point 1 6

2.2×5.3=11.662 point 2 times 5 point 3 is equal to 11 point 6 6

2.2×3.5=7.72 point 2 times 3 point 5 is equal to 7 point 7

Answers

Answer: y

Step-by-step explanation:

In quadrilateral ABCD shown below it is known that BC is perpendicular CD, angle A=5x+12, and angle C=7x-36. Given this information, which of the following is the degree measure of angle A? ​

Answers

Answer:

m∠A = 102°

Step-by-step explanation:

In quadrilateral ABCD, BC is perpendicular to CD

m∠BCD = 90°

(7x - 36) = 90°

7x = 90 + 36

7x = 126

x = 18

Since, m∠A = (5x + 12)

Therefore, m∠A = (5×18) + 12

                           = 90 + 12

                           = 102°

Measure of angle A = 102°

What fraction is 0.16% equivalent to? (16 is repeating)

Answers

Answer:

[tex]\frac{16}{10000}[/tex]

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

3(x - 2) - 2x + 3 = -12


Sorry I have another question lol

Answers

Answer:

Solve for  

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

x = − 9

Answer:

x+9

Step-by-step explanation:

Given the parent function f(x)=x^2 in red, write the equation for the transformed function g(x) in green.

Answers

Answer:

g(x) = 2x² + 1

Step-by-step explanation:

The parabola got thinner, so to show that, you put a 2 before to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.

Your full equation would look like this: g(x) = 2x² + 1

Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.

List the next even number after 149​

Answers

Answer:

150

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

you want to be my friend

Translate the quadrilateral W(-2, 2), X(-3, 3), Y(-6, 5), Z(-6, 3) using the transformation
(x-2, y + 3)

Answers

Answer: W (-4, 5) X(-5, 6) Y (-8, 8) Z (-8, 6)

5(2y + 3)
can’t find any answers from this question

Answers

Answer:

10y + 15

Step-by-step explanation:

5(2y + 3)

= 5x2y + 5x3

= 10y + 15

Use elimination to solve for x and y:
9x - 4y = 11
x + 4y = 19
Select one:
a. (7,3)
b. (4,3)
c. (-1,5)
d. (3,4)

Answers

Answer:

multiply second eqyation by 9

Step-by-step explanation:

then subtract with 1 st eqn

find the rate of change from the equation y=-x-1 will mark braniest​

Answers

Answer:

-1

Step-by-step explanation:

slope=m

(keep in mind your equation is written in the form y=mx+b)

Answer:

-1

Step-by-step explanation:

rate of change for y = -x - 1

so its the inverse of -x - 1 = -1 - x

therefore, the rate of change = -1

x - 2y = 10
3x - 5y = 4

Answers

Answer:

y = -26

x = -42

Step-by-step explanation:

3x - 5y = 4

x - 2y = 10

x - 2y = 10

x = 2y + 10

3x - 5y = 4

3(2y + 10) - 5y = 4

6y + 30 - 5y = 4

y + 30 = 4

y = -26

x - 2y = 10

x - 2(-26) = 10

x + 52 = 10

x = -42

Check:

x - 2y = 10

(-42) - 2(-26) = 10

-42 + 52 = 10

10 = 10

8^x = 2
What is X
Thank you :))))

Answers

Answer:

1/3

Step-by-step explanation:

Answer: x = 1/3. Explanation: to help solve this problem, try solving 2^x = 8 first. X, in this equation, is 3. This means that 2*2*2 is equal to 8. The reciprocal of this answer is the answer to the original equation. Reciprocal of 3 = 1/3✅

The ticket prices at a movie theater are shown in the table. A family purchased tickets for 2 adults and 3 children, and the family purchases 3 boxes of popcorn of the same size. The family spent a total of $40.25 how much did each box of of popcorn cost

Answers

Answer:

$2.25

Step-by-step explanation:

The first thing you do is multiply the prices of tickets by how many they bought.

$8.50 x 2= $17

$5.50 x 3= $16.50

You then add these two numbers together and subtract that from $40.25.

$17+$16.50=$33.50

$40.25-$33.50=$6.75

You then divide $6.75 by 3 to find the answer

$6.75/3=$2.25

Which expression is equivalent to one over fivem − 20?

one over five(m − 4)
one over five(m − 100)
5(m − 4)
5(m − 100)

Answers

Answer:

one over five (m-100)

Step-by-step explanation:

the answer to your question is the 2nd one

Answer:

1 / [ 5(m - 4) ] is equivalent to one over five m -20

Step-by-step explanation:

one over five(m − 4)

5(m − 4)

Factor the denominator:

1 / [ 5m - 20 ]  =  1 / [ 5(m - 4) ]

What is the length of segment LM?
thank you :)​

Answers

Answer:

length of segment LM is 23.

I’LL GIVE BRAINLY IF UR CORRECT!!!!!! Plus 25 points
what is the best estimate of the sum of the fractions? 31/4 + 17/3 + 8/18

Answers

13.86 would be about how much that is

Answer:it’s 13

Step-by-step explanation:

Bodytemperatures ofhealthy koalasarenormally distributed with a mean of 35.6°C and a standard deviation of 1.3°C. a.What is the probability that a health koalahas a body temperature lessthan 35.0°C? (1pt)b.Veterinarians at a nature preserve in Australiathought a population of koalas might be infected with a virus, so they chose a random sample of n=30koalas and measured their body temperatures. If they got a sample mean body temperature less than 35.0°C, do you think that this population of koalas is healthy? Why/why not?Be specific.(4pt)c.List a potential confounding variable for this study and briefly how it might have impactedthe results. (2pt)2.

Answers

Answer:

a

 [tex]P(X  < 35) =  32.3 \%[/tex]

b

[tex]P(\= X  < 35) =  0.6 \%[/tex]

Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy

c

A potential confounding variable for this study is  the population of the koalas because in the first question the population was not taken into account and the probability was  [tex]P(X  < 35) =  32.3 \%[/tex] but when the population was taken into account (i.e  n =  30) the probability became

[tex]P(\= X  < 35) =  0.6 \%[/tex]  

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu =  35.6^oC[/tex]

   The standard deviation is  [tex]s =  1.3^oC[/tex]

   The sample size is  n = 30

Generally the  probability that a health koala has a body temperature less than 35.0°C is mathematically represented as

     [tex]P(X  < 35) =  P(\frac{X  - \mu }{s}  < \frac{35 - 35.6}{1.3} )[/tex]

Here  [tex](\frac{X  - \mu }{s} =  Z (The   \ standardized \  value \  of  \  X )[/tex]

So

    [tex]P(X  < 35) =  P(Z < -0.46)[/tex]

From the z-table  P(Z <  -0.46) =  0.323

So  

    [tex]P(X  < 35) =  0.323 [/tex]

Converting to percentage

      [tex]P(X  < 35) =  0.323  * 100 [/tex]

      [tex]P(X  < 35) =  32.3 \%[/tex]

considering question b

The sample mean is  [tex]\= x =  35[/tex]

Generally the standard error of the mean is mathematically represented as

   [tex]\sigma_{\= x} =  \frac{s}{\sqrt{n} }[/tex]

=>  [tex]\sigma_{\= x} =  \frac{1.3}{\sqrt{30} }[/tex]

=>  [tex]\sigma_{\= x} =  0.2373 [/tex]

Generally the probability of the mean body temperature of koalas being less than 35.0°C is mathematically represented as

 [tex]P(\= X  < 35) =  P(\frac{\= X  -  \mu  }{\sigma_{\= x }} <  \frac{35 -35.6}{0.2373 }  )[/tex]

[tex]P(\= X  < 35) =  P(Z< -2.53  )[/tex]

From the z-table  we have that

   [tex]P(Z< -2.53  ) =  0.006[/tex]

So

 [tex]P(\= X  < 35) = 0.006 /tex]

Converting to percentage

      [tex]P(\= X  < 35) =   0.006  * 100 [/tex]

      [tex]P(\= X  < 35) =  0.6 \%[/tex]

Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy

A potential confounding variable for this study is  the population of the koalas because in the first question the population was not taken into account and the probability was  [tex]P(X  < 35) =  32.3 \%[/tex] but when the population was taken into account (i.e  n =  30) the probability became

 [tex]P(\= X  < 35) =  0.6 \%[/tex]  

please look at the picture below

Answers

Answer:

A

Step-by-step explanation:

domain is the input and range is the output

A manufacturing company produces 355 units per day currently. The company's goal is to increase the number of units manufactured per day by 35 each year. If the company meets the goal how many units will it be producing per day 4 years from now?

Answers

I believe the answer would be 530 units per day


PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

2.333333333

Step-by-step explanation:

divide 3 into 7 and it's is repeating

Answer:

Step-by-step explanation:

Given that the polynomial f(x) has degree 8, which of the following most accurately describes the number of turning points of f(x)?

Answers

You cannot answer this question with the information supplied.
The x intercepts are the roots of the polynomial f(x) = 0.
The fundamental theorem of algebra says that the number of roots of this equation is 9, but not necessarily all of them are real; therefore the MAXIMUM number of x intercepts is 9.
However, since f(x) is of odd degree it must have at least one real root; therefore, the MINIMUM number of x intercepts is 1.

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial f(x) that has a degree of 8 will have 7 turning points.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

For any polynomial equation, the number of turning points is always less than or equal to the degree of the polynomial.

Generally, the number of turns is one less than the degree of the polynomial.

Hence,  the polynomial f(x) that has a degree of 8 will have 7 turning points.

Learn more about Polynomials:

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