If JL = 8x-3 and LK = 4x + 57, Find JK

If JL = 8x-3 And LK = 4x + 57, Find JK

Answers

Answer 1
JK =8x-3 +4X+57
JK = 12x+ 54
Answer 2

Answer: JK = 234

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

PART I: Find the value of x

Given information

JL = 8x - 3

LK = 4x + 57

Given expression deducted from the given figure

JL = LK

Substitute values into the expression

8x - 3 = 4x + 57

Add 3 on both sides

8x - 3 + 3 = 4x + 57 + 3

8x = 4x + 60

Subtract 4x on both sides

8x - 4x = 4x + 60 - 4x

4x = 60

Divide 4 on both sides

4x / 4 = 60 / 4

x = 15

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

PART II: Find the value of JK

Given information

JL = 8x - 3

LK = 4x + 57

x = 15

Given expression deducted from the segment addition postulate

JK = JL + LK

Substitute values into the expression

JK = 8x - 3 + 4x + 57

JK = 8(15) - 3 + 4(15) + 57

Simplify by multiplication

JK = 120 - 3 + 60 + 57

Simplify by simple operation (addition/subtraction)

JK = 117 + 60 + 57

JK = 177 + 57

[tex]\boxed{JK=234}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Which system of inequalities is shown?

Answers

Answer:

C. y>x

y>4

Step-by-step explanation:

the line passes y intercept (0,4) is y = 4

the line passes (0,0) and (5,5) is y = x

so, the system of inequalites of the shaded area is : y>x and y>4 (option C)

Express 6/2+i
with a real dersominator,
a. Find the conjugate of the denominator
b. Express with a real denominator

Answers

B.
Is the correct answer

(5+[tex]\frac{1}{5}[/tex]-[tex]\frac{2}{9}[/tex])-(2-[tex]\frac{1}{23}[/tex]-2[tex]\frac{3}{35}[/tex]+[tex]\frac{5}{6}[/tex])-(8+[tex]\frac{2}{7}[/tex]-[tex]\frac{1}{8}[/tex]

Answers

Answer:

[tex] - \frac{6437}{1656} [/tex]

Step-by-step explanation:

[tex](5 + \frac{1}{5} - \frac{2}{9} ) - (2 - \frac{1}{23} - 2 \frac{3}{35} + \frac{5}{6} ) - (8 + ( \frac{2}{7} - \frac{1}{8} )[/tex]

[tex] = \frac{224}{45} - (2 - \frac{1}{23} - \frac{73}{35} + \frac{5}{6} ) - \frac{457}{56} [/tex]

[tex] = \frac{224}{45} - \frac{3401}{4830} - \frac{457}{56} [/tex]

[tex] = - \frac{6437}{1656} [/tex]

Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday. Write an equation to show how many dogs Ida walked Saturday.

Answers

Answer:

10d = 70  where d is the number of dogs walked

Step-by-step explanation:

10d = 70  where d is the number of dogs walked

Divide each side by 10

10d/10 =70/10

d= 7

Answer: 10x = 70

Step-by-step explanations

PLEASE HELP ME THIS IS DUE TODAY :( YOU WILL GET 20 POINTS

The picture is below :(


Question: If a point C is inside AVB then m AVC +_______= m AVB

Answers

m∠AVC+m∠CVB=m∠AVB. Option b is correct.

Given a figure in which point C is inside ∠AVB and ∠AVB=62°.

A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.

Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then

From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB

m∠AVC+m∠CVB=m∠AVB

Now substitute the values ​​we get

39°+23°=62°

62°=62°

So both sides are equal and it's proven.

Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.

Learn more about the angle from here brainly.com/question/11789164

#SPJ1

Evaluate 3yz +20 -xy if x =2, y = -3, and z = 4

Answers

Answer:

Ans. is -10. Explanation is in the attachment.

9. Graph the function g(x) = x + 3 by completing the table of values and plotting points. How
does the graph compare to its parent function, f(x) = x? Describe any change for each of the
following
a. domain
У
х
g(x) = x3 + 3
8
-2
b. range
-1
4
0
х
c. x-intercept
o
-2 -1
2
1
2
-41
4
d. y-intercept

Answers

Answer:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

 

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Step-by-step explanation:

Find the slope of the line through each pair of points (-11,14), (12,-5)

Answers

It is m=-19/23 i hope it helps

Need help ASAP please

Answers

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

help this is due tonight and i’m really confused

Answers

Answer:

it is perpendicular bisector of the given line.

Give an exact value, not a decimal approximation

Answers

Answer:

Sinθ = 24/25

Step-by-step explanation:

Sinθ = Opposite/Hypotenuse

Solve for the opposite side using the Pythagorean Theorem.

[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\b^2=576\\b=24[/tex]

Therefore, Sinθ = 24/25.

rovers,United and City are football teams
rovers scored x goals
United scored 8 goals more than rovers
City scored 3 goals less than twice the number of goals scored by rovers
the three teams scored a total of 117 goals
solve to find the value of x​

Answers

Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.

Number of goals scored by Rovers = x

United scored 8 goals more than rovers. This will be = x + 8

City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3

Since the three teams scored a total of 117 goals, this will be:

x + x + 8 + 2x - 3 = 117

Collect like terms

4x = 117 - 8 + 3

4x = 112

x = 112/4

x = 28

The value of x is 28

Read related link on:

https://brainly.com/question/24424070

Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?

A) 5/5

B) 12/12

C) 15/15

D) 4/4

E) 3/3

Answers

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Somebody help !!!!!!!!!!!!!!!!

Answers

Hey there! I'm happy to help!

The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.

Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.

So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)

So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.

Have a wonderful day and keep on learning! :D

Kelly hikes at the rate of 1mile per hour.

Or, y = x.

If Joseph hikes at the rate of y = 1/2x, and kelly hikes at the rate of y = x,

Kelly hikes faster than Joseph

Segment AB is a line segment on a number line. Endpoint A is at –18, and the midpoint is at -6.
Determine the coordinate of endpoint B.
Coordinate of endpoint B

Answers

It should just be 6 using algebra

Find the exact value of cos A in simplest radical form. ​

Answers

CosA= base/hypotenuse
=5/13

What is the product of 180 and 170? HELP

Answers

Answer:

30600

Step-by-step explanation:

product is the answer to a multiplication problem

180 x 170= 30600

59 is 60% of what number​

Answers

Answer:

duh. 98.33 yeah yeah yeah yeah yeah yeah

CAN SOMONE PLEASE HELP.


a coin is weighed so the probability of landing head is 0.6. If this coin is flipped teice find the experimatal probabillaty of getting two heads.Anwser as a percent

Answers

hi <3

simply multiply the probabilities together:

0.6  x 0.6 = 0.36

multiply by 100 to turn this into a percentage:

0.36 x 100 = 36

thus, your answer is 36%

hope this helps :)

Quick I need help I’ll mark u as brain list

Answers

Answer:

4

Step-by-step explanation:

Answer: 4
The 3 triangles are right triangles because in the question the lines are perpendicular to each other (making right angles) and an acute triangle (outside triangle) has all acute angles

Please mark brainliest

The sum of three consecutive integers is 165 what are the integers

Answers

Answer:

54, 55, 56

Step-by-step explanation:

The first integer is x

so the second is x + 1

and the third is x + 2

Add all these together:

so (x) + (x+1) + (x+2) = 165

Group:

x + x + x + 1 + 2 = 165

Combine like terms:

3x + 3 = 165

3x = 162

x = 54

So the first integer is 54

The second is x + 1 = 54 + 1 = 55

And the third is x + 2 = 54 + 2 = 56

54 + 55 + 56 = 165

Answer:

54,55,56

Step-by-step explanation:

Let the three consecutive integers be x,x+1,x+2

x+x+1+x+2=165

or, 3x+3=165

or, 3x=165-3

or, 3x=162

or, x=162/3

or, x=54

Now,

x+1=54+1=55

x+2=54+2=56

how do I solve -2a = -24

Answers

Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

Please help will give 20 points
Is there a transformation that maps shape I onto shape IV? Explain your answer.

Answers

i can identify that it is a reflection over the y axis, the lower right angle is equivalent (?) to the upper right corner of figure IV

rlly hope this helps, im not the best at explaining

Answer:

Yes, there is a transformation that maps shape I onto shape IV. Reflecting shape I across the x-axis maps it onto shape IV.

Step-by-step explanation:

edmentum


Out of 65 students, 35 like lays, 24 likes kurkure and 15 is do not like any of them,present the above information in a venn-diagram and find the number of a students who like
both the items.

Answers

Step-by-step explanation:

n(U) = 65

n(L) = 35

n(K) = 24

n(LUK) = 15

n(LnK) = x

Since we don't know the intersection (x), we have not also known the real value of Set L and K. Therefore, it is expressed as:

35-x and 24-x

Add the terms together and equate to the universal set :

35-x + x + 24-x + 15 = 65

35 + 24 + 15 + x-x - x = 65

74 - x = 65

- x = 65 - 75

-x = - 9

divide through by -1, you'll get:

x = 9

Therefore, the number of students who like both is 9.

One week the height of a plant increased from 30 cm to 35 cm.
Work out the percentage increase.

Answers

Plant height increased after 1 week: 35 cm - 30 cm = 5cm

Percentage increase: (5 : 30) x 100% = 16.66%

Can someone help me for this question...please​

Answers

Answer:

No value of x

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Select the correct answer.
Which statement correctly describes the strongest classification for quadrilateral ABCD with vertices A(-3, 1), B(1, 3), C(2, 1), and D(-2, -1)?
A.
Quadrilateral ABCD is a rectangle because adjacent sides have slopes that are negative reciprocals.
B.
Quadrilateral ABCD is a parallelogram because adjacent sides have slopes that are negative reciprocals.
C.
Quadrilateral ABCD is a rectangle because adjacent sides have slopes that are not negative reciprocals.
D.
Quadrilateral ABCD is a parallelogram because adjacent sides have slopes that are not negative reciprocals.

Answers

Answer:

I think C is the correct answer

Answer:

C

Step-by-step explanation:

HELP ME PLZ. I have no clue how to do this.

Answers

Answer:

32

Step-by-step explanation:

3x+1=8x-24

25=5x

x=5

3 times 5 plus 1 is 16 and so the length is 32

comment section:

XM=MY because MN is segment bisector

XM=3x+1=3*5+1=16=MY and since XM+MY=XY 16+16=32

Find the value of x in the equation below.
48 = 6x

Answers

Answer:

x=8

Step-by-step explanation:

This is a simple one-step algebraic equation. In algebra, to find x you must isolate the variable. To do this, use the property of equality. This property states that an equation is still true if you do the same thing to both sides. For example, the equation would still be true if you added 1 to both sides.

To isolate x divide both sides by 6. This equals 48/6 = 6x/6. Which simplifies to 8=x.

Which ordered pair is a solution of the system of equations? y= 3x + 1 y= 5x - 1 A (2,3) © (1,2) B (0, 1) D (1,4)​

Answers

Answer:

D

Step-by-step explanation:

So first, we have to test the pairs. Let start with equation 1.

7=\=3 x

4=\=2 x

0=0 ✓

4=4 ✓

Now we only have to test B and D.

0=\=-1

4=4 ✓

D is the correct answer.

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