Point L is on line segment KM. Given LM = 3x + 3, KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.

Answers

Answer 1

Answer:

[tex]KM = 4[/tex]

Step-by-step explanation:

Given

[tex]LM = 3x + 3[/tex]

[tex]KM = 5x + 4[/tex]

[tex]KL = 5x + 1[/tex]

Required

Determine KM

The relationship between the given parameters is:

[tex]KM = KL + LM[/tex]

Substitute the values of KM, KL and LM

[tex]5x + 4 = 5x + 1 + 3x + 3[/tex]

Collect Like Terms

[tex]5x - 5x - 3x = 1 + 3 - 4[/tex]

[tex]-3x = 0[/tex]

Divide through by -3

[tex]x = 0[/tex]

Substitute 0 for x in [tex]KM = 5x + 4[/tex]

[tex]KM = 5 *0 + 4[/tex]

[tex]KM = 0 + 4[/tex]

[tex]KM = 4[/tex]

Answer 2

Answer:

98

Step-by-step explanation:


Related Questions

Point P is the interior of LaTeX: \angle OZQ.\: ∠ O Z Q . If LaTeX: m\:\angle\:OZQ\: m ∠ O Z Q = 125 and LaTeX: m\angle OZP\: m ∠ O Z P =62, what is LaTeX: m\angle PZQ m ∠ P Z Q ?

Answers

Answer:

63°

Step-by-step explanation:

If Point P is the interior of ∠OZQ, then ∠ O Z P +∠ P Z Q = ∠ O Z Q

Given  O Z Q = 125 and m ∠ O Z P =62, to get  ∠ P Z Q, substitute the given angles into the formula above as shown;

∠ O Z P +∠ P Z Q = ∠ O Z Q

62 +∠ P Z Q = 125

subtract 62 from both sides

62 +∠ P Z Q - 62= 125 - 62

∠ P Z Q  = 63°

Hence the angle ∠ P Z Q  is 63°

what scale factor would you use on the 14-inch by 21-inch rectangle to return it to its original 2-inch by 3-inch size

Answers

Answer:

since you are trying to get the scaled copy smaller you need to instead of multiply by 7 multiply by 1/7

Step-by-step explanation:

“six less than twice y”

Answers

Answer:

2y-6

Step-by-step explanation:

Six less = Subracted by 6.

3[-x + (2 x + 1)] = X – 1

Answers

Your question has been heard loud and clear.

3[-x + (2 x + 1)] = X – 1

= 3[-x+2x+1]= x-1

= 3 [ x+1] = x-1

= 3x+ 3 = x-1

3x-x = -3-1

2x= -4

so , x = -4/2 = -2

Therefore , x = -2

Thank you

Answer:

3x+3=x-1

3x-x=-1-3

2x=-4

x=-2

John has a debit card with $100.00 on it. He uses his debit card to buy his lunch everyday. His lunch costs $4.50 per day. How many lunches can John buy?

Answers

Answer:

He can buy 22 lunches.

Step-by-step explanation:

To find how many he can buy if he had $100, we must divide the cost of one lunch to the amount of money he has.

(Round to the nearest whole number to get the exact amount of lunches that he can buy.)

1 lunch = $4.50

So:

=$100 ÷ $4.50 = 22.222....

=22.222.... = 22

Hope this helps! I'm sorry if it's wrong.

The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain and range of this solution

Answers

Answer:

Domain : 0° < x <90°

Range: 90° < y < 180°.

Step-by-step explanation:

When we have a function:

f(x) = y

the domain is the set of the possible values of x, and the range is the set of the possible values of y.

In this case we have:

x + y = 180°

such that x < y

Let's analyze the possible values of x.

The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.

Knowing this, we can find the maximum value for y:

0° + y = 180°

y = 180° is the maximum of the range.

Then we have:

0° < x

y < 180°

To find the other extreme, we can use the other relation:

x < y.

Then, we can impose that x = y (this value will not be either in the range nor the domain)

if x = y then:

x + y = x + x = 180

2*x = 180

x = 90°

This will be the maximum of the domain and the minimum of the range.

Then we have that the domain is:

0° < x <90°

And the range is:

90° < y < 180°.

I don't understand how to find the values of X and Y. Can anyone explain?

Answers

Answer:

y=30

x=29

Step-by-step explanation:

2y=180-120

2y=60

y=30

4x+4=120

4x=116

x=29

20. The temperature of a pot of water is 62*F. The temperature increases

by 20*F per minute when being heated. Write an equation to represent

the linear relationship. *

Answers

Given :

The temperature of a pot of water is 62 F .

The temperature increases  by 20 F per minute when being heated .

To Find :

Write an equation to represent  the linear relationship.

Solution :

Here , the temperature is increasing directly with the time .

Therefore , it is a linear equation .

Let temperature varies with as :

T = at+b   .... equation 1 .

( Here , a and b are constants )

Now , at t= 0 min .

[tex]T = 62 =a\times 0 + b[/tex]

[tex]b=62[/tex]    

Now , after 1 min temperature will be , T = 62 +20 =82 F

[tex]T = 82 = a\times 1+62\\a=20[/tex]

Putting value of a ans b in equation 1 , we get :

[tex]T=20t+62\ F[/tex]

Hence , this is the required relation .

Which equation represents the following sentence 1/4 of a number +5 equals the number -7?

Answers

68.2 I think that the answer

Graph this function: y–3= – (x+10)
Click to select points on the graph.

Answers

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to graph the function

[tex]\boxed{y-3 = -(x+10)}[/tex]

See in the attached file!

kaitlin bought some books. she spent a total of 45 after a discount of $6 off her total purchase. Each book cost $3. How many books did she buy

Answers

Answer:

17

Step-by-step explanation:

Answer: She bought 17 books

Step-by-step explanation:

Add $6 to the amount that she paid to find out how much money she would have paid.

45 + 6 = 51  so she would have paid $51  

Now divide 51 by 3 to find out how many books she bought.

51 / 3 = 17  

So because of the discount, she paid $45 for 17 books.

Super simple question could you explain it and write it out WILL MARK BRAINLEST

Answers

Answer:

x = 9π

x = 1620°

x ≈ 28.27433

Step-by-step explanation:

Move constant to the right-hand side and change its sign which it'll look like

x = π + 8π

Then collect like terms which youll end up with

x = 9π

Solve for x.
-15 = 22x + 7
Ox=-4/11
O x = 4/11
Ox= -1
OX=1

Answers

Answer:

The answer would be x= -1

Use properties of operations to find the quotient. -14 ÷ (-4.48)

Answers

Answer:

3.125

Step-by-step explanation:

-14÷(-4.48)

14÷(4.48)

divide that you will get 3.125

25/8, 3 1/8

is its alternative form.

Which equation represents the data shown in the table below? Fence Length (y) 100 150 180 240 Number of Posts (x) 11 16 19 25 A y  10x  1 B y  10(x  1) C y  10x  1 D y  10(x  1)

Answers

Answer:y=10x-1

Step-by-step explanation:

Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton's ratio?

Answers

Answer:

4 to 3

Step-by-step explanation:

Since in the question it is mentioned that the ratio is written by comparing the number of video games with respect to sports to the number of video games with respect to the driving is 4: 3

Also the ratio defines a relationship between the two variables

So, the ratio that is equal to cotton ratio is 4 to 3 and the same is to be considered

Answer:

Your answer is 4 to 3

Step-by-step explanation:

Emmett earns money from walking dogs and answering serveys. he earns $10 a week for each dog he walks and $.15 for each survey he answers last week and it answered 100 service and $65 part and create any questions that will return in the number of dogs he walked part B solve this equation justifying each step with an algebraic property of the quality parts see how many dollars did Emmett walk last week

Answers

Answer:

He had to have walked 5 dogs and done one survey

Step-by-step explanation:

what is the slope of the line Y equals 3 ​

Answers

y = 3 is written in slope-intercept form (y = mx + b).

The only variable we are given in this equation is "b" which is "3".

We don't have a slope variable at all which means the slope is 0 or undefined.

The y-intercept is 3.

Best of Luck!

HELP!!
enter the terms and the coefficients of the expression.
-60+ 6p - 4z
The terms are
and___,___,____
The coefficients are
and___,____,___

Answers

Answer:

Step-by-step explanation:

Terms    Coefficient

-60           -60

6p                6

-4z                -4

Answer:

The terms of expression are −30, 6p, and −4z.

The coefficients are 6 and −4.

Find the point-slope equation for the line that passes through the points (30,2) and (15,-28) use the first point in your equation

Answers

Answer:

y=2x-58

Explanation:

In order to write our point-slope formula (y=mx+C format), we first need to figure out the slope (m). To figure out the slope, we divide the change in y by the change in x between the two points (rise/run). The rise is 30 (2-(-28)) and the run is 15 (30-15). Therefore the slope is 2 (30/15)

This gives us:

y=2x + c

Now to figure out C (which will be the y-intercept of the graph) we substitute in the values from one of the points. So our x=30 and our y=2:

2=2(30) + c

2=60+c

2-60=c

-58=c

So now we know that our C (constant) is - 58.

Hence our point-slope formula is:

y=2x-58

Which you can test with the other point:

-28=2(15) - 58

Hope this helped!

Answer:

y-2=2

Step-by-step explanation:

The quotient law states: keep the base the same and
the exponents. *
add
subtract
divide
multiply

Answers

i believe the answer is divide

explain why 2a+3b=5ab

Answers

That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.

If you had 2a+3a, then it would simplify to 5a

Similarly, 2b+3b = 5b

Or you could have 2ab+3ab = 5ab

The key is that the variable portions must match up to be able to add them.

they can’t the variables have to be the same in order to add or subtract

3x-5)(x2+2x+1) Please show working

Answers

Answer:

3x^3 + x^2 -7x - 5

Step-by-step explanation:

SOOOOOOO you use the distributive property and multiply by each term.

Answer:

3x^3 + x^2 -7x -5

Step-by-step explanation:

(3x-5)(x^2+2x+1) you multiply and then add to get to 3x^3 + x^2 -7x -5.

*For example (x+2)(x+3) will be x^2+5x+6 The same logic is applied.

Robert invested $25,000 in an account that pays 4.5% interest compounded weekly. After 3 years,
what is the balance of his account?

Answers

Answer:

28,375 dollars

Step-by-step explanation:

25,000 times .045 = 1,125

1,125 times 3 equals 3,375

25,000 + 3,375 = 28,375

hope this helps you :)

pls help i only need answer no work

Answers

770 I believe. I believe the answer is 770.

Answer:

4.  770 people

5.  16 min

6.  10.8 laps

Step-by-step explanation:

4.  330 people   =       x        

      3 hours               7 hours

just cross multiply:

3x = 330(7)

x = 2310 / 3

x = 770 people

5.   15 laps =   30 laps

        8                x

just cross multiply:

15x = 30(8)

x = 240 / 15

x = 16 mins

6.   18 laps =       x      

        10              6

just cross multiply:

10x = 18(6)

x = 108 / 10

x = 10.8 laps

a car tire has a radius of 10.4 inches what distance will the tire travel after 20 rotations

Answers

Answer:

is A

Step-by-step explanation:

Help needed ASAP will give brainliest please I NEED HELP ITS TIME LIMIT :(

Answers

Answer:

RUn on sentence

Step-by-step explanation:

where should the decimal point be placed in the example shown

Answers

I cannot solve this because there is no example

Answer:

A

Step-by-step explanation:

Xavier climbs 9 feet up into an apple tree. What integer represents the direction and how far he will climb to get back down to the ground? What does the integer 0 represent in this situation? The integer represents Xavier’s climb down. The integer 0 represents .

Answers

Answer:

The answer is "-9 feet and Ground-level".

Step-by-step explanation:

Given value:

total length or distance from apple tree = 9 feets

In the calculation of the distance between both the ground and the tree will be the same.  

If he gets higher 9 feet, he will go back to the ground 9 feet, in this case, the represents ground  value is equal to 0.

In the calculation of absolute values it value is opposite but the same.

What is the definition of significant digits?

Answers

Answer:

Digits that should be written when doing calculations

-by-step explanation:

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