Point M is the midpoint of segment JK. Find JK when JM=6x-7 and MK=2x+3.

Answers

Answer 1

if M is the midpoint of JK then JM+MK=JK and JM=MK
so
6x-7=2x+3
minus 2x both sides
4x-7=3
add 7 both sides
4x=10
divide both sides by 4
[tex]x=\frac{10}{4}[/tex]
[tex]x=\frac{5}{2}[/tex]

sub back

JM=6x-7
[tex]JM=6(\frac{5}{2})-7[/tex]
[tex]JM=\frac{30}{2}-7[/tex]
[tex]JM=15-7[/tex]
JM=8

JM=MK=8
JM+MK=8+8=16=JK

[tex]x=\frac{5}{2}[/tex] and JM=8=MK and JK=16

Answer 2

The value of JK will be 16.

It is given that M is the midpoint of segment JK.

We have to find out the value of JK.

What will be the value of x , if 4x + 12 = 8x + 4 ?

The value of x will be 2.

As M is the midpoint of JK.

JK = MK + JM

So,

MK = JM

2x + 3 = 6x - 7

4x = 10

x =2.5

So ,

MK = 2x + 3 = 8

JM = 6x - 7 = 8

Hence ,

JK = MK + JM = 8 + 8

JK = 16

Thus , value of JK will be 16.

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Related Questions

The sum of 16 and a number x is equal to 20

Answers

" the sum " means add

16 + x = 20 <= ur equation
x = 20 - 16
x = 4 <== the number

The sum of 16 and 4 is equal to 20.
This is how I know:
20-16=4
How do I know this?
Sum means to add. To get the sum of something that equals another number, you must see what number adds up with 16 to get 20. So, this means that 16+4=20.

Hope this helps. <3 :)

If JK LM , which statement is true ?

Answers

The answer to this question would be: B. JK and LM meet at a right angle.

The reversed T symbol in this question means "perpendicular". That means the JK and LM line have 90-degree angle difference. A straight angle is 180 degree and right angle mean 90 degrees.
A perpendicular line should be in the same plane and intersect each other.

A = Pe^rt

Can you please help me solve for t?
I've tried using logs to isolate it, but I'm not good with logs and I couldn't figure it out.

Answers

That is the formula for solving for continuously compound interest.
You want to solve for time "t".
A = Pe^rt
Dividing both sides by "P"
(A / P) = e^r*t
Taking NATURAL LOGS of both sides:
(the natural log of "e" is 1)
ln (A / P) = ln (e^r*t)
ln (A / P) = r*t*1
ln (A / P) = rate * time
Time = ln (A / P) ÷ rate

Round 894-352 to the nearest ten

Answers

the correct answer is 540

the answer is 540 because you just subtract the round your answer.

what seperates the places larger than 1 from those that are fractions of 1 such as tenths,hundreths

Answers

the decimal point separates them.

Which expression represents the distance the two points, X and Y, on the number line?

Answers

The distance between X and Y is at least 6-7 humps.

|-4-7| is the expression represents the distance the two points, X and Y, on the number line

What is Number system?

A number system is defined as a system of writing to express numbers.

Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

The x point is at minus four and y is at point three.

The distance will be always positive

As we count the units from -4 to 3 we get seven humps.

So the distance will be 7 units.

This we can get by taking |-4-3| which is |-7|=7 units.

Hence, |-4-7| is the expression represents the distance the two points, X and Y, on the number line

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How to you solve this problem

Answers

5x + x = 90
6x = 90
x = 90/6
x = 15

9y + 18 = 90
9y = 72
y = 8

Hope this helps!

Simplify

4.4² + 5 =

5.10÷15−3=

6.2 ⋅ 72−10(9+1)3=2 · 72−10(9+1)3=

Answers

4.4^2 = 19.36
19.36 + 5 = 24.36
Answer: 24.36

5.10 ÷ 15 = 0.34
0.34 -3 = -2.66
Answer: -2.66

6.2(72) = 446.4
446.4 - 10 = 436.4
9 + 1 = 10
436.4(10) = 4,364
Answer: 346.4

just break down the problems so you can understand it better

good luck on your assignment

~MeIsKaitlyn :)

the expression 2x+50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing.

Which is the rock climbers initial height above sea level?

Enter your answer in the box.

Answers

x=0， The answer is 50.

Answer:

The rock climbers initial height above sea level is:

50 meters.

Step-by-step explanation:

The expression which is used to represent the elevation above sea level, in meters, of a rock climber after x minutes of climbing is given by:

2x+50

Now, we are asked to find the rock climbers initial height above sea level i.e. we are asked to find the value of the expression when x=0.

Hence, when x=0 we have:

2x+50=2×0+50

= 50

Hence, the answer is: 50 meters.

A rectangle is twice twice as long as it is wide and has the same perimeter as a square whose area is 9 square feet feet larger than that of the rectangle. what are the dimensions of both the rectangle and the square?

Answers

The dimension of rectangle : 6 and 12 units

square= 9 units

What is Perimeter ?

Perimeter is the distance around the edge of a shape.

Given:

let the width of rectangle be x.

length= 2x

let the side of square is y units.

Perimeter of rectangle = Perimeter of square

and, Area of square= Area of rectangle + 9

First, Perimeter of square= 4* side

= 4y units

Perimeter of rectangle,

=2(l+b)

=2(2x+x)

=6x units

Since, Perimeter of rectangle = Perimeter of square

6x=4y

3x=2y

Now, Area of square= Area of rectangle +9

y²= x*2x+9

y²= 2x²+9

y²= 2(2y/3)²+9

y²= 8y²/9+9

1/9 y²= 9

y²=81

y=±9

So, x=2y/3= 2*9/3

x= 6

Hence, dimension of rectangle is 6 and 12.

dimension of square is 9 units.

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22>= 5(2y+3)-3y how do I solve this

Answers

Final answer:

To solve the inequality 22 >= 5(2y+3)-3y, we distribute the 5, combine like terms, then isolate and solve for y, showing that y must be less than or equal to 1.

Explanation:

To solve the inequality 22 >= 5(2y+3)-3y, follow these steps:

Distribute the 5 into the parentheses: 22 >= 10y + 15 - 3y.Combine like terms on the right side: 22 >= 7y + 15.Subtract 15 from both sides to isolate the term with y: 7 >= 7y.Divide both sides by 7 to solve for y: y <= 1

The final answer is that y must be less than or equal to 1.

put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301

Answers

6.8,6.827,6.86,6.9

1.2,1.203,12.03, 12.301,12.31

Answer:

6.8,6.827,6.86,6.9

Step-by-step explanation:I hope it helps

Suppose a jet travels 60 kilometers in 5 minutes how many kilometers will it travel in 2 hours?in 6 hours ? In 6 hours it will travel?

Answers

In 2 hrs, the jet will travel 1,440 kilometers.

In 6 hrs, the jet will travel 4,320 kilometers.

i love math period.

It is found that in 2 hrs, the jet will travel 1,440 kilometers. And in 6 hrs, the jet will travel 4,320 kilometers.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

We can calculate this using the following steps:

60 kilometers in 5 minutes

x kilometers in 2 hours = 120 minutes

Therefore,

60 ( 120 )= 5 x

x = 60 ( 120 / 5)

x = 1440 kilometers

y kilometers in 6 hours = 360 minutes

60 (360) = 5 y

y = 60 ( 360 / 5)

y = 4320 kilometers

Hence, It is found that in 2 hrs, the jet will travel 1,440 kilometers. And in 6 hrs, the jet will travel 4,320 kilometers.

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The width of a rectangle is 3 inches shorter than the length. the perimeter of the rectangle is 18 inches. what is the length of the rectangle

Answers

6 is the length and 3 is the width. 6+6+3+3=18

Suppose that during a speech, (x – 4)2 students protested. If 36 students protested, what are the possible values of x?

Answers

The expression will become;
(x - 4)² = 36
Now by using the formula;
(a-b)² = a² -2ab + b²
(x - 4)² = x² - 2(x)(4) + 4² = x² - 8x +16
Now the expression will be;
x² - 8x + 16 = 36
x² - 8x + 16 - 36 = 0
x² - 8x - 20 = 0
Now by using factorization method;
x² -10x + 2x -20 = 0 , -10 + 2 = 8 and -10 x 2 = -20
x(x-10) + 2 (x - 10) = 0
(x -10) (x +2) = 0
Now either x - 10 = 0 or x+2 = 0
it means x = 10 or x -2
So, the possible values of x are 10 and -2.

I need help with this

Answers

The expression would be: 11.5-1 1/2x
x represents the number of weeks she would cut her hair off.

Please vote my answer brainliest. thanks!

y=-1.5x+11.5
This is the correct expression because it shows how much hair she has left per week in consideration of how much hair she started out with.

The measure of one of the acute angles in a right triangle is 59°. what is the measure of the other acute angle?

Answers

The answer is: 31° .
________________________________

59 + 90 + x = 180

59 + 90 = 149 ;

x + 149 = 180 ;

Subtract 149 from each side of the equation:

x + 149 - 149 = 180 - 149 = 31 .

The answer is: 31° .

in a right triangle, the acute angles will add to 90 degrees

that is because one of the angles is 90 and the sum of all the angles is 180
so if x and y are the acute angles and z is the right angle then
x+y+z=180, subsitutuing 90 for z
x+y+90=180
minus 90
x+y=90

so if one is 59 degrees then
59+y=90
minus 59 from both sides
y=31

the other acute angle is 31 degrees

Rivka and Sara are sisters and contestants on a survival reality tv show. They must each build a raft that will ultimately carry them off the island. Rivka can build her raft in 5 days. Sara can build her raft in 6 days. Though, as sisters, they sometimes fight, they decided to work together to build their rafts. How many days will it take Rivka and Sara to build their two rafts? (Round your answer to one decimal.)

Answers

Rivka's working rate is
x = (1 raft)/(5 days) = 1/5 rafts/day.
Sara's working rate is
y = (1 raft)/(6 days) = 1/6 rafts/day.

When working together, their combined working rate is
x + y = 1/5 + 1/6 = 11/30 rafts/day

The days required to build 2 rafts together is
( 2 rafts)/(11/30 rafts/day) = 60/11 days = 5.45 days

Answer: 5.5 days

Final answer:

Rivka and Sara can build their two rafts together in approximately 5.5 days, as they have a combined work rate of 11/30 rafts per day when they work together.

Explanation:

Rivka and Sara, working together to build their rafts, would combine their work rates to find out how many days it will take to build two rafts. Rivka can build a raft in 5 days, which means her work rate is 1 raft per 5 days or 1/5 raft per day. Sara can build a raft in 6 days, equating to a work rate of 1/6 raft per day.

When they work together, their combined work rate is 1/5 + 1/6 rafts per day. To combine these, we find a common denominator:

1/5 + 1/6 = (6 + 5) / 30 = 11/30 rafts per day

The question asks how long it takes to build two rafts. Therefore, we divide the total number of rafts by their combined work rate:

2 rafts / (11/30 rafts per day) = (2 * 30) / 11 days = 60/11 days ≈ 5.5 days

Hence, Rivka and Sara will take approximately 5.5 days, or 5.5 days rounded to one decimal, to build two rafts if they work together without stopping.

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

Answers

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance

Answer:d

Step-by-step explanation:

What is the answer to question 3. Letter A?

Answers

Your answer should be Line Graph.

The answer is a bar graph because a bar graph is used to measure more than one thing. In this case, each bar would represent each species of birds, x would represent the years and y would represent the number of birds.

What is the value of the expression when a = 4 and b = 2? open study?

Answers

I'm not sure but I think the value that is substituted is 4.

Replace all occurrences of a with the solution found by solving the last equation for a. So my answer would be 4 for the value that is substituted. I hope I was of some use to you.

Raylene bought a roll of tape with a length of 18.9 feet. if she has used 6.3 feet, how much tape is left?

Answers

18.9 - 6.3= 12.6 ft of tape left

Name the property shown by the statement.
2 + 5 = 7

Answers

Property of addition

Which line is horizontal? A. y = 2 B. y = 2x C. y = −2x D. y = x

Answers

learn this..
HOY -- horizontal line, 0 slope, represented by y = a number
VUX-- vertical line, undefined slope, represented by x = a number

ur horizontal line is : y = 2

Which property justifies the following equation 7 [6+5+(-6)=7 [6+(-6)+5]

Answers

Commutative property

I believe that is the commutative property because u r moving the numbers around.

If two cards are drawn without replacement, what is the probability of drawing at least one ace

Answers

It would be 50%. Since there are 2 cards and the maximum for percents are 100%, 100 divided by 2 would be 50.

Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function. y=-2(x) and y=-2(x)-3

Answers

The graph y=-2(x)-3 is shifted down 3 units from y=-2(x)

The graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equations of the functions are:

y -2x

y = -2x - 3

The graph of the function y = -2x will be a straight line that is passing through origin (0, 0).

Applying transformation to the graph of the function y = -2x

y = -2x - 3

As we can see in the graph:

The graph y=-2x - 3 is shifted down 3 units from y = -2x

Thus, the graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.

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Ryan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did Ryan make last week?
a. $86.40
b. $148.00
c. $169.60
d. $233.40

Answers

5.30 x 32 = 169.6

403 - 169.6= 233.4

He made $233.40 last week, answer D

Answer:

Option d.

Step-by-step explanation:

Ryan works at the car wash and earns = $5.30 per hour plus tips.

His earning from 32 hours of work = 32 × 5.30 = $169.60

He total earned = $403.00

Therefore, he earned from tips = $403 - $169.60

= $233.40

Ryan earned in tips $233.40.

Is (1,-4) a solution to the equation y=-2x?
Yes or no? Please help /:

Answers

No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)

-4 = -4, otherwise the equation won't be satisfied.

A solution means that it will make the statement true. Let substitute this in:

y = -2x
-4 = -2(1)
-4 = -2

-4 obviously isn't equal to -2, so it is not a solution to the equation.

Hope this helps!

25 POINTS!!!!!!!!!!!!!!!!!!!!!!

Determine the graph of (f-g)(x) when f(x)=1/x and g(x)=sqrt(x).

The answer choices are in order A B C D.

Answers

this makes a curved line in the 1st quadrant so A is the answer

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