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

Point L Is On Line Segment \overline{KM} KM . Given LM=3x+3,LM=3x+3, KM=5x+4,KM=5x+4, And KL=5x+1,KL=5x+1,

Answers

Answer 1

9514 1404 393

Answer:

  KM = 4

Step-by-step explanation:

The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*

  KL +LM = KM

  (5x +1) +(3x +3) = 5x +4

  8x +4 = 5x +4 . . . .simplify

  3x = 0 . . . . . . . . . . subtract 5x+4

  x = 0 . . . . . . . . . . . divide by 3

Then the length of KM is ...

  KM = 5x +4 = 5·0 +4 = 0 +4

  KM = 4

_____

* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.


Related Questions

Which equation models the relationship between the number of hours x of the snowstorm and the number of inches of snow y on the ground

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Answer: The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.

write the equation y = x - 4in standard form (Ax + By = C)

Answers

Answer:

y = x - 4

move y to the right side and 4 to the left side

and you will get

4 = x - y which is the same as x - y = 4

The value of the equation is x + ( -y ) = 4

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = x - 4   be equation (1)

On simplifying the equation , we get

Adding 4 on both sides of the equation , we get

x = y + 4

Subtracting y on both sides of the equation , we get

x - y = 4

Therefore , the value of A is x - y = 4

Hence , the equation is x + ( -y ) = 4

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https://brainly.com/question/11897796

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the number of bees in a hive has increased from 550 to 649. express the change as a percentage

Answers

Answer:

649-550= 99

99÷649×100= 15.25%

2/9 / 2=
WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

I hope this is right i did the work but if its wrong im truely sorry but the answer i believe it is is 1/9

Answer:

1/9

Step-by-step explanation:

2/9 ÷ 2

2/9 ÷ 2/1

Then we use the reciprocal method

2/9 × 1/2

we multiply across

2/18

We can simplify by 2

1/9

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
A. 4x – 1.9 = 22.2
B. 4x – 22.2 = 1.9
C. 4x + 1.9 = 22.2
D. 4x + 22.2 = –1.9
E. 22.2 – 4x = 1.9

Answers

Answer:

C and E .... Proof below

Step-by-step explanation:

1. Find the 14th term of the arithmetic sequence -12, -3, 6, 15, ...
A-105
B. 105
C. 114
D. 117​

Answers

Answer:

Step-by-step explanation:

the answer would be B, 105. -12,-3,6,15,24,33,42,51,60,69,78,87,96,105

Slope:
intercept
Y=2/3x-4

Answers

Answer:

slope is 2/3, the y-intercept is -4

Step-by-step explanation:

y=mx+b

m is always the slope. b is always the y-intercept. please give brainliest!!

A daycare employee earns $\$10.90$ per hour for the first $40$ hours he works in $1$ week. He is paid $1.5$ times that rate for each additional hour that he works. How much money does he earn working for $43$ hours in $1$ week?

Answers

Given:

Employee earns $10.90 per hour for the first 40 hours he works in 1 week.

He is paid 1.5 times that rate for each additional hour that he works.

To find:

How much money does he earn working for 43 hours in 1 week?

Solution:

Earning for first 40 hours = $10.90 per hour

Earning for additional hours after 40 hours = 1.5 × $10.90 per hour

                                                                        = $16.35 per hour

In 43 hours, 3 hours are additional after first 40 hours.

Earning for first 40 hours = 40 ×  $10.90

Earning for additional 3 hours = 3 ×  $16.35

Now,

[tex]\text{Total earnings}=40\times 10.90+3\times 16.35[/tex]

[tex]\text{Total earnings}=436+49.05[/tex]

[tex]\text{Total earnings}=485.05[/tex]

Therefore, the total earnings for 43 hours in a week is $485.05.

Need help with this math proporsions

Answers

Answer:

Well there is no problem there what are the problems I will answer it

Is a function or non function explain

Answers

Answer:

It is a non function.

Step-by-step explanation:

Numbers cannot repeat in functions

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I'm sure is true hopefully.

Can somebody help me please

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Answer:

as it is isosceles triangle

40+40+x=180

x = 100°

What is the slope of y = 5x -1

Answers

Answer:

Step-by-step explanation:

5

The slope would be 5, so as a fraction for rise over run, it would be 5/1. (Up 5 over one)

hi what is without using calculator 32 ÷ 0.16 ? pls help

Answers

Answer:

200

Step-by-step explanation:

hope this helps!

Answer:

200

Step-by-step explanation:

=> 32 ÷ 0.16

=> 32 ÷ (16/100)

=> 32 * 100/16

=> 2 * 100

=> 200

HOPE IT HELPS!!!

Hernando ate 2/8 of a pizza for a dinner. he gave his 6 friends the rest of the pizza, and told them to share equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below.
6/8 divided by 6= (6 divided by 6)/8= 1/8
he concluded that each person received 1/8 of the whole pizza. Are Hernando's calculations correct?

O yes they are correct. Hernando divided 6 by 6
O yes they are correct. Hernando divided 2/8 by 6
O No they are not correct. Hernando should have multiplied by 6, not divided by 6
O No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.

Answers

Answer: yes correct . hernando 6 by 6

Step-by-step explanation:

Answer:

yes they are correct. Hernando divided 6 by 6

Step-by-step explanation:

Hernando ate 2/8 of a pizza for a dinner.

he gave his 6 friends the rest of the pizza, and told them to share equally.

Rest pizza portion=1-2/8

=6/8

6/8 pizza divided into 6 person

6/8÷6

1/8

So 1/8 portion get each person

So the option a is correct

yes they are correct. Hernando divided 6 by 6

The amount of time is takes dora to commute to work is always within 5 minutes of the average number of minutes the commute takes. If the average ammount of time she takes to get to work is 45 minutes

Answers

Answer:

The average time to commute to work is 25 minutes.

Step-by-step explanation:

If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.

hello help me this Question ​

Answers

Here is an attachment of the graph i drew
Hope it helped!

Janet sells custom artwork online. Her business profits for the month of August are shown in the table.

Week Profit
week 1 $56.92
week 2 -$16.54
week 3 $45.58
week 4 -$21.74

How much more profit did Janet make in week 2 than in week 4?

Answers

Answer:

$5.10

Step-by-step explanation:

If you subtract the earnings from week 2 from week 4 then you will get answer. Janet made 21.74$ in week 4 and $16.64 in week 2 so the equation would look like this: 21.74-16.64= $5.10

Answer: -5.20

Step-by-step explanation:

Took the test


Find the missing side:
What’s the missing side

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 13² + 4² = 169 + 16 = 185 ( take the square root of both sides )

x = [tex]\sqrt{185}[/tex] ≈ 13.6 ( to 1 dec. place ) → B

Please help with question 2! BRAINLIEST to correct answer!!

Answers

Answer:

the answer is C, 2+i

Step-by-step explanation:

Answer:

1. b

2.d

3.c

4.a

Step-by-step explanation:

Can someone help?

What is the initial value of the equation shown?

y = −2x − 5

−5
−2
2
5

Answers

Answer:

-5

Step-by-step explanation:

The initial value is also known as the y-intercept (in other words, the output value when the input of a linear function is zero). In the equation;

y = mx + b

The variable b represents the y-intercept because the x-value is equal to zero. By applying this to our equation, we get:

y = mx + b

y = -2x - 5

And thus, (-5) is our answer. Good luck and keep studying!

Hurryyy answer plzz!!

Answers

The angles in matching corners are called corresponding angles.

The answer would be A. 3 and 5

Answer:

A - angle 3 and angle 5 are corresponding

Step-by-step explanation:

3y−3x=21 Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c )

Given

3y - 3x = 21 ( add 3x to both sides )

3y = 3x + 21 ( divide all terms by 3 )

y = x + 7 ← in slope- intercept form

28 What is the slope of the line that passes through the points (12, -3)
and (-36,25)?

Answers

Answer:

-7/12

Step-by-step explanation:

slope= 25-(-3) / (-36-12)

25+3 / -48

28 / -48

-7 / 12

There are two numbers that are twice as far away from 13 than 22. The sum of those numbers are?

Answers

Answer:

Sum of those numbers are 50

Step-by-step explanation:

Let x represent a number that is twice as far away from 13 than 22.

The number can't be less than 13 but will be between 13 and 22 or slightly more than 22 otherwise it will be far away from both.

Thus;

|x - 13| = 2|x - 22|

It's in absolute form, so we will square both sides to get rid of the absolute brackets.

Thus;

(x - 13)² = 4(x - 22)²

x² - 26x + 169 = 4(x² - 44x + 484)

x² - 26x + 169 = 4x² - 176x + 1936

4x² - x² - 176x + 26x + 1936 - 169 = 0

3x² - 150 + 1767 = 0

Using quadratic formula, we have;

x = 19 or x = 31

Thus,the sum of the 2 numbers = 31 + 19 = 50

write a linear equation in slope intersept form for a line that passes through the point (6,-2) and has a slope of -2/3

Answers

Answer:

y = -2/3 x + (-2)

Step-by-step explanation:

3
√-512
simplfy form

Answers

Answer: 22.6

Step-by-step explanation:

Step 1: List Factors. List the factors of 512 like so:

Step 2: Find Perfect Squares. Identify the perfect squares* from the list of factors above:

Step 3: Divide. ...

512 / 256 = 2.

Step 4: Calculate.

Step 5: Get Answer. ...

512½ = 16 x 2½

the answer to 1+1 is 2

Answers

Are you asking or answering?-

Answer:

yes it is

Step-by-step explanation:

Pls help ASAP this table keeps going

Answers

Answer:

Words: 2 Minutes: 0.33

Step-by-step explanation:

12/6=2 & 2/6=0.33.

Please help with this‼️‼️

Answers

Answer:

[tex]y+9=\frac{-5}{12}(x-6)\\[/tex]

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})\\y+9=m(x-6)\\m=\frac{-9-(-4)}{6-(-6)}=\frac{-5}{12}\\y+9=\frac{-5}{12}(x-6)\\[/tex]

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