In the diagram JL = 120, What are JK and KL? Explain how you found your answer.

In The Diagram JL = 120, What Are JK And KL? Explain How You Found Your Answer.

Answers

Answer 1

Answer:

JK = 42

KL = 78

Step-by-step explanation:

To find the lengths of JK and KL, we need to first find the value of x. We know that the length of the entire line is 120. That means we need to add the lengths of JK and JL and set it equal to 120.

4x+6+7x+15 = 120

Combine like terms.

11x+21 =120

Subtract 21 from each side.

11x= 99

Divide both sides by 11.

x=9

Now that we know the value of x, we simply plug it into the equations to find out the lengths of each line segment.

JK = 4x+6

4(9)+6 (x is plugged in)

36+6 = 42

JK=42

Now lets do KL.

7x+15

7(9)+15

63+15 = 78

KL = 78  

Answer 2

The values of JK = 42 and KL= 78.

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment JL , where the length of line segment JL refers to the distance between its endpoints, J and L.

Given that JL = 120,

And JK = 4x + 6 and  KL= 7x + 15

J_________K______________L

⇒ JL = JK + KL

⇒ 120 = 4x + 6 + 7x + 15

⇒ 120 = 11x + 21

⇒ 11x = 99

⇒ x = 9

Substitute the values of x = 9 in the JK = 4x + 6 and  KL= 7x + 15,

JK = 4(9) + 6 = 42

KL= 7(9) + 15 = 78

Hence, the values of JK = 42 and KL= 78 .

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Related Questions

Please help! the other 2 are always, sometimes, or never!

Answers

Answer:

2.60

Step-by-step explanation:

Answer: Sometimes. All we need to know is if one pair of sides are the same length between the triangles, and that is enough info to know if triangle ABC = triangle DEF. We don't have any such info, so we just say "sometimes" to account for this situation.Answer: 60 degrees. Angle B = angle E, and we're told that B = 60, so E must be 60 as well for the two angles to be congruent.Answer: Always. Equilateral triangles have the same angle measure (60 degrees each). Any two triangles with corresponding congruent angles are similar triangles.

Which is the correct inverse function of f(x) = 4x +9?

Answers

Let y = 4x + 9

4x = y - 9

x = (y-9) / 4

f(x) = (x-9) / 4

Perform the following operations with the given fraction 2/5 x3/4 =

Answers

Answer: 3/10

Step-by-step explanation:

2/5 x 3/4

2x3=6

5x4=20

6/20

________

Simplify

6/2=3

20/2=10

3/10 Final Answer

1-2: Translate into an algebraic expression.
1. The product of a number, n, and -7.

Answers

Answer:

n+(-7)= choose a letter to replace it with the sum

30°25'45" into second ​

Answers

Answer:

109545

Step-by-step explanation:

              Formula

multiply the time value by 3600

Hope this helps

plz mark brainlest

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
receive? (SHOW WORKING)​

Answers

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

Answer:

Mary = $18

Jane = $30

Step-by-step explanation:

The first thing you need to do is find out how much each part is.  To do that you need to add each side of the ratio together (3 + 5 = 8).  THen you set up an equation showing the 8 parts * x = 48 and solve for x.

8x = 48

x = 6 <--  Value of each part

Now you multiply the 6 by the number on each side of the ratio,

Mary = 3 * 6 = 18

Jane = 5 * 6 = 30

The above is your answer.

what is the answer h+6\5=2

Answers

Answer:

h = 4/5

Step-by-step explanation:

h + (6/5) = 2

h = 2 - (6/5)

h = (10/5) - (6/5)

h = (10-6)/5

h = 4/5

Check:

(4/5) + (6/5) = 2

10/5 = 2

The solution to the equation h + 6/5 = 2 is h = 4/5.

Given is an equation h + 6/5 = 2, we need to solve for h,

To solve the equation h + 6/5 = 2, we need to isolate the variable h on one side of the equation.

Let's begin by subtracting 6/5 from both sides of the equation to get rid of the term on the left side:

h + 6/5 - 6/5 = 2 - 6/5

Simplifying the equation:

h + (6/5 - 6/5) = 2 - 6/5

The term (6/5 - 6/5) is equal to 0, so we have:

h + 0 = 2 - 6/5

Simplifying further:

h = 2 - 6/5

To combine the fractions on the right side, we need a common denominator, which in this case is 5.

We can convert the whole number 2 into a fraction with a denominator of 5:

h = (2 x 5)/5 - 6/5

This becomes:

h = 10/5 - 6/5

Now we can subtract the fractions:

h = (10 - 6)/5

Simplifying:

h = 4/5

Therefore, the solution to the equation h + 6/5 = 2 is h = 4/5.

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Which number is irrational?
A.
19
B.
V10
C.
V16
D
25
E.
136

Answers

Answer:

v10

Step-by-step explanation:

Can you help me with this​

Answers

Answer:

12 only.

Step-by-step explanation:

When the question is asking for f(0), it is asking for the value of y when x = 0.

We see that there is only 1 intersection at x = 0, and the y value would equal 12.

Therefore, our answer is 12 only.

Answer:

The answer is a.12 only its where the x coordinate stays 0 and the y coordinate decreases or increases

Step-by-step explanation:

can you show me the full formula i will reward you with 10 points​

Answers

Answer:

The formula is 4x+3x+2x=180.

x= 20

a= 40

b= 80

c= 60

Step-by-step explanation:

The expression is the angle measurments equaled to 180 degrees because they all make up a straight line (180 degrees).

You then find the other angle measurments by identifying the verticle angles.

For example, 3x= 60 degrees. Therefore angle C= 60 because it is verticle to 3x

Help please I have a test next hour over this question, but have no clue how to solve for it.

Answers

Answer:

Multiply both sides of the equation by 5

5⋅(b+6/5)=5⋅10

Simplify both sides of the equation.

b+6=50

Move all terms not containing b to the right side of the equation.

b=44

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

Step1 = b+6= 10×5

b+6=50

Step2 b= 50-6

= 44

Hope this may helps you

Mark me the brainlest

What is the probability of choosing a number 1 - 10 that is
greater than 5 or even?

Answers

Answer:

70%

Step-by-step explanation:

So, first, our set of choices is 10. This means that there are 10 choices.

We want a number that is greater than 5 or even. Thus, let's mark down all of our choices.

Numbers greater than 5 are:

6, 7, 8, 9, and 10.

Even numbers are:

2, 4, 6, 8, 10.

However, we already counted 6, 8, and 10 previously, so we'll ignore that.

All in all, the following numbers will satisfy our requirements:

2, 4, 6, 7, 8, 9, and 10.

This is 7 out of 10 numbers.

Therefore, our probability is:

[tex]7/10=70\%[/tex]

Eight more than twice a number is eight. Find the number.

Answers

Answer:

Step-by-step explanation:

2x + 8 = 8

Subtract 8 from both sides.

2x = 0

Divide both sides by 2.

x = 0

The required number, eight more than twice a number is eight, is 0.

Given that,
To find the number which is eight more than twice a number is eight.

What is simplification?

The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,

Let the number be x,
The eight more than twice a number is eight. So,
8 = 2x + 8
2x = 0
x = 0

Thus, the required number, eight more than twice a number is eight, is 0.

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Which number below has a 3 that is 1/100 of the value of the 3 in the number 1,376

Answers

Answer:

1,386

Step-by-step explanation:

guessed it in my head

Question 5(Multiple Choice Worth 4 points) (08.02)The number in the middle of a data set best describes which of the following? Mean Median Range Mean absolute deviation​

Answers

the number in the middle is the median

Answer: (Median)

Sorry, I'm a bit late but I got 100% on my test!

Hope this helps!

2(3x–1)=9(x–2)–7 pls find x

Answers

Answer:

Step-by-step explanation: multiply 2 with 3x-1

6x-2

multiply 9 with x-2

9x-18

form equation:

2(3x-1)=9(x-2)-7

or, 6x-2=9x-18-7

or, 9x-18-7=6x-2

or, 9x-6x= -2+18+7

or, 3x=23

or, x=23/3

Ans:  x= 7.67

Multiply 2*3x and 2*-1 for the left side. On the right side multiply 9*x and 9*-2.
6x - 2 = 9x - 18 - 7.
Combine like terms. 6x - 2 = 9x - 25.
Then add 2 and subtract 9x.
-3x = -23.
Divide the negative
3x = 23. Then divide 3
x = 23/3 = 7.667...

Please help! I only need the answer for the first fill-in-the-blank. Click the other picture to see the choices.

Answers

Step-by-step explanation:

side side angle is the best answer

player
100%
X Pri
A total of 400 students were surveyed at a college to see if they live in on-campus dorms or if they live off-campus. The table shows the results of
the survey
Dorms Off-Campus Total
Freshman 88 12 100
Sophomore 62 38 100
Junior 43
57 100
Senior 25 75 100
Total 218 182 400
What percentage of the students surveyed live off-campus?
O A 18.25
OB. 41.29
OC 45.55
OD 83.55
RESET
Question #24
DELL

Answers

Answer:

[tex]\%Off-Campus = 45.5\%[/tex]

Step-by-step explanation:

Given

----------------------Dorms ---- Off-Campus ---- Total

Freshman -------- 88  ------  ---------12   ------- 100

Sophomore  ------62  ---------------38  --------- 100

Junior --------------43 -----------------  57  ---------- 100

Senior -------------25  -----------------75  ------------ 100

Total ---------------218 -------------182  --------------400

Required

Determine the percentage of off-campus students

From the above table, we have that:

[tex]Off-Campus = 182[/tex]

[tex]Total\ Surveyed = 400[/tex]

The percentage is then calculated as follows;

[tex]\%Off-Campus = \frac{Off-Campus}{Total-Surveyed} * 100\%[/tex]

[tex]\%Off-Campus = \frac{182}{400} * 100\%[/tex]

[tex]\%Off-Campus = 0.455 * 100\%[/tex]

[tex]\%Off-Campus = 45.5\%[/tex]

Hence, option C answers the question

Answer:

oh 45%

Step-by-step explanation:

-11 2/3 × (-4 1/5) ​

Answers

Your answer will be 49

Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.

Answers

Answer:

The correct option is;

0.4 represents the height of each block

Step-by-step explanation:

The information given are;

Kirima first builds a firm base of a given height

Kirima is building her wall using uniformly sized bricks

the height of the wall she is building depends on the number of blocks stacked to form the wall

Therefore, variable that depends on other variable, which is the dependent variable, y, is the height of the wall

The independent, which determines the value of the dependent variable is the number of blocks added, x

The gradient of the equation is the height of each block = 0.4

The y-intercept is the starting value, which is the firm base of dimension, 0.6

Therefore, 0.4 represents the height of each block.

Triangle ABC is a right triangle, angle B is the right angle, angle A is
8x + 2, and angle C is 9x + 3.
What is the measurement of angle A?
ОООО

42°
45°
48°

Answers

The answer is 42 degrees.

A triangle has to equal 180 degrees in total. Because you know it is a right triangle and b is the right angle you make angle a plus c equal 90. You add together 8x and 9x to get 17x and add the 2 and 3 to get 5. You have to solve for x so you subtract 5 from both sides to get 17x = 85. To get x alone you divide both sides by 17 giving you x=5. Now that you have x you plug it into to the equation for angle a. This gives you 8(5)+2 which equals 42.

8x+2+9x+3=90
17x+5=90
17x=85
X=5

8(5)+2=
40+2=42

help please, little confused.....................................

Answers

Answer:

3(3) + 0.75(2) = (3 + 0.75)x

Step-by-step explanation:

The cost per pound of the mixture is the total cost divided by the total weight.

3 lb granola at $3 per lb has a cost of 3(3)

0.75 lb of raisins at $2 per lb has a cost of 0.75(2)

The total cost is 3(3) + 0.75(2)

The mixture has an unknown cost per lb, so we call it x.

When you multiply the cost per lb of the mix by the total weight, you get the total cost.

Total weight of mix: 3 + 0.75

Cost per lb of mix: x

Total cost of mix: (3 + 0.75)x

Above, we know the total cost is 3(3) + 0.75(2)

We set these two amounts equal to get our equation.

3(3) + 0.75(2) = (3 + 0.75)x

Answer: 3(3) + 0.75(2) = (3 + 0.75)x

Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in the 7th grade class, 30 participate in at least one sport. Does this and its corresponding table show a proportional relationship? Explain why it does or does not show a proportional relationship.

Answers

No because if you reduce it would be
Boys: 1 to 3
Girls: 1 to 4
Because you have to decide 25 and 75 by 25 and 30 and 120 by 30 so you can see the average

I need help. I’m not understanding this question

Answers

the answer is letter c.

Answer:

D

Step-by-step explanation:

slope=(-2-7)/(3-0)=-9/3=-3

f(x)-7=-3(x-0)

f(x)=-3x+7

Take any two points .

I took (0,7) and (3,-2),then slope=(y2-y1)/(x2-x1)=(-2-7)/(3-0)=-9/3=-3

you can take any two points.

Let us take (-6,25) and (-3,16)

slope=(16-25)/(-3-(-6))=-9/(-3+6)=-9/3=-3

eq. of line is

y-y1=m(x-x1),here m=-3

y-25=-3(x-(-6))=-3(x+6)=-3x-18

y=-3x-18+25

y=-3x+7

Here y=f(x)

A retailer sold a vacuum cleaner for 40% below its marked price. The sale price was 50% above the cost to the retailer. What is the ration of marked price to cost?

Answers

Answer:

10 : 9

Step-by-step explanation:

Given that a retailer sold a vacuum cleaner for 40% below its marked price.

Let the marked price = P

40% below = (100 - 40)P/100

Sale price = 60P/100

Sale price = 0.6P

The sale price was 50% above the cost to the retailer.

That is, cost price = (100 + 50)0.6P/100

Cost price = (150)0.6P/100

Cost price = 1.5 × 0.6P

Cost price = 0.9P

What is the ratio of marked price to cost?

The ratio will be = P/0.9P

Multiply both the numerator and denominator by 10

Ratio = 10 : 9

1+1 is what because I’m really confused on this question and answer is it...idk 4

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.
1.4 gallons
14 gallons
91 gallons
140 gallons

Answers

Answer:

14 gallons

Step-by-step explanation:

357/25.5 = 14

14 gallons

hopefully this helps you :)

pls mark brainlest ;)

Thank you :)

Answer:

14 gallons

Step-by-step explanation:

took the test

plz help quick i will mark u brainiest its about transishons

Answers

Answer:

(x,y) --> (x+4, y-5)

Step-by-step explanation:

A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)

Consider this question:

-2x=x^2-6

1) Rewrite the question by completing the square. Your equation should look like (x+c)^2=d or (x-c)^2=d.

2) What are the solutions to the equation?

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Given

- 2x = x² - 6 ( subtract x² from both sides )

- x² - 2x = - 6 ( multiply through by - 1 )

x² + 2x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 6 + 1

(x + 1)² = 7

(2)

Take the square root of both sides

x + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )

x = - 1 ± [tex]\sqrt{7}[/tex]

Solutions are x = - 1 - [tex]\sqrt{7}[/tex] , x = - 1 + [tex]\sqrt{7}[/tex]

i am confused in this can someone help?

Answers

Answer:

[tex]\huge\boxed{\sf a = -12 , b = 8}[/tex]

Step-by-step explanation:

Given polynomial is:

[tex]f(x) = ax^3+ b^2 + 3x + 4[/tex]

[tex]\rule[225]{225}{2}[/tex]

First factor is (x-1)

Let x - 1 = 0  => x = 1

Putting this in the above polynomial

[tex]f(1) = a(1)^3 + b(1)^2 + 3(1) + 4[/tex]

Given that it's remainder is 3

[tex]3 = a + b + 3 + 4[/tex]

[tex]3 = a + b + 7[/tex]

Subtracting 7 to both sides

[tex]-4 = a + b\\OR \\[/tex]

a + b = -4 -------------------------- (1)

[tex]\rule[225]{225}{2}[/tex]

Second Factor is 2x + 1

Let 2x + 1 = 0 => x = - 1 / 2

Putting in the above polynomial

[tex]f(-\frac{1}{2} ) = a (-\frac{1}{2} )^3 + b (-\frac{1}{2} )^2 + 3 (-\frac{1}{2} ) + 4[/tex]

The remainder is 6

[tex]6 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2} + 4\\6 - 4 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2}\\2 = \frac{-a + 2b -12 }{8} \\-a + 2b - 12 = 16\\-a + 2b = 16 + 12\\[/tex]

-a + 2b = 28  --------------------------------(2)

[tex]\rule[225]{225}{2}[/tex]

Adding both equations

a + b -  a + 2b = -4 + 28

3b = 24

Dividing both sides by 3

b = 8

[tex]\rule[225]{225}{2}[/tex]

Putting b = 8 in Equation (1)

a + 8 = -4

a = - 4 - 8

a = -12

[tex]\rule[225]{225}{2}[/tex]

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