Segment addition and midpoints

Segment Addition And Midpoints

Answers

Answer 1
RT= 12
RS=7
ST= RT-RS= 12-7= 5
QT=16
QR= 16-RT= 16-12= 4
QS= QR+RS= 4+7=11
QS=11
Answer 2

The measure of QS is 11 units.

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 QT, where the length of line segment QT refers to the distance between its endpoints, Q and T.

Q_________R___________S_________T

Given that RT= 12

And RS=7

⇒ RT= RS + ST

⇒ ST= RT - RS

⇒ ST= 12-7

Substitute the values of RT and RS,

⇒ ST= 5

⇒ QT= 16

⇒ QR = 16 - RT= 16 - 12 = 4

⇒ QS = QR + RS

Substitute the values of QR and RS,

⇒ QS = 4 + 7=11

⇒ QS = 11

Hence, the measure of QS is 11 units.

Learn more about the line segment here:

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Related Questions

Does the function ƒ(x) = 5e0.25x represent exponential growth, decay, or neither?

Answers

Step-by-step explanation:

it is exponential growth because the coefficient of x is not negative

the evidence is in the image above

the gradient increases

Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?

Answers

Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.

Total amount of money

First you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.

So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:

6 video games* 27 dollars each game= 162 dollars

So Tyrell spends 162 dollars.

Money left over after buying the video games.

On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.

This indicates that after spending $ 162 on video games, there were $ 379 left over.

Money he started with.

To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:

162 dollars + 379 dollars= 541 dollars

So, Tyrell started with $541.

Learn more with this similar examples:

https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResults

Tyrell started with 541 $

There are two actions in the question.

First Tyrell bought 6 video games, each game cost 27 $.

Spent

According to that Tyrell spent

6 * 27 = 162 $

Keeps

The second fact is that after shopping Tyrell keeps 379 $.

If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has

Now if we call "x" the quantity of money Tyrrel started with: Then

x  =  the money Tyrell spent on video games  plus the remaining 379 $

Then

x  =  162  + 379

x = 541 $

Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes? Simplify answer completely

Answers

Answer:

2 [tex]\frac{1}{3}[/tex] planes

Step-by-step explanation:

Set up a ratio.

planes over time.

Because the time is given in minutes. No conversion necessary.

[tex]\frac{planes}{time}[/tex] = [tex]\frac{3.5}{60}[/tex] = [tex]\frac{x}{40}[/tex]

Cross Multiply

60 (x) = 3.5 (40)

60x = 140      Divide by 60, both sides.

x = 2.333 repeating also know as 2 [tex]\frac{1}{3}[/tex].

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Answers

Answer:

3/16

Step-by-step explanation:

-3*-1=3, 4*4=16

Answer:

3/16

Step-by-step explanation:

Multiply both the numerators (top number) and denominators (bottom numbers) together

-3 x -1 = 3....bc negative times negative always equals positive

4 x 4 = 16

A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
slope-intercept form.

Answers

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

pls help ASAP
find the value of z when x = 216

Answers

Answer:

z =   3 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

z = [tex]\frac{k}{x^{1/3} }[/tex]

5 = [tex]\frac{k}{4}[/tex]

k= 20

~~~~~~~~~~~~~~~

z = [tex]\frac{20}{6}[/tex]

z =  [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]

If BD bisects angle ABC, m angle DBC = 79° , and m angle ABC = (9x - 4)° , find the value of x. ​

Answers

Answer:

x = 18

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC = 79°

∠ ABC = ∠ ABD + ∠ DBC , that is

9x - 4 = 79 + 79 = 158 ( add 4 to both sides )

9x = 162 ( divide both sides by 9 )

x = 18

Since bd bisects the abc is equal to 2 time 79 so solve 2(79)=9x-4 so x is 18

20-(+20)-(-65)-(-12)​

Answers

Answer:

77

Step-by-step explanation:

20-(+20)-(-65)-(-12)​

-(-65)-(-12)​

+65-(-12)​

+65+12

77​

Q) 20-(+20)-(-65)-(-12) = ?

→ 20-(+20)-(-65)-(-12)

→ 20 - 20 + 65 + 12

→ {20 - 20} + {65 + 12}

→ 0 + 77

→ 77 is required solution.

9 Alicia has a bag that contains 12 apples.
Estimate the mass of the bag of apples.
Give your answer in kilograms.

Answers

Answer:

The key here is estimate, you don't need exact values or more information for this problem. First estimate the mass of an average apple. A quick online search reveals that the mass of an average apple is approximately 100 grams. Multiply by 12 for the bag and convert to whatever units you're asked to express your answer in.

Step-by-step explanation:

how many marbles do you need to balance the scale? 6oz 2oz



HELP 10 points!!

Answers

Answer:

you need 4 oz. to get the even 6 oz.




Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.

Answers

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]

                              = [tex]\frac{88}{21}[/tex] x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

4u + 10 =17
u = ?
help ​

Answers

Answer:

The answer is "1.75".

Step-by-step explanation:

Given:

[tex]\to 4u + 10 =17[/tex]

Find:

[tex]\to u = ?[/tex]

Solution:

[tex]\to 4u + 10 =17\\\\\to 4u = 17-10\\\\\to 4u = 7\\\\\to u = \frac{7}{4}\\\\\to u=1.75[/tex]

which quadratic function has zeros of -4 and 7

Answers

Thank You! Hope it helps! Please mark me brainliest!

Choose the model that represents the same function as the values in the table.

x r(x)
-4 -4
2 8
5 14
7 18

Answers

X -> times 2 -> plus 4 -> r(x)

Step-by-step explanation:

-4=x -4=r(x) -4 x 2=-8 -8+4=-4

Answer:

If on imagine math then its on the picture, have a nice day!

Step-by-step explanation:


Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

y = -1

-1 because that's where the point is on the y-axis.

Please help pleaseeee

Answers

Answer:

32/33

Step-by-step explanation:

We first need to find out how many square yards are vacuumed every one minute.

Let's set up a chart:

yards        minutes

8/11      -->    3/4

y          -->     1

Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.

1. Multiply 1 by 8/11 to get... 8/11

2. Multiply 3/4 by y to get... 3/4y

3. Equate them: 8/11 = 3/4y

4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable

5. This gives us 32/33 = y

The melting point of mercury is about 1/4 of the melting point of krypton. The melting point of mercury is -39c. Write and solve an equation to find the melting point of krypton.

Answers

Answer:

-156c

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] of krypton melting point is mercury melting point

[tex]\frac{1}{4}[/tex](k) = -39

k = -39(4)

k = -156c

Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.

Answers

Step-by-step explanation:

First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.

It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.

Need help on this!!! 6 points!!!

Answers

Answer:

it appears to be  FALSE....

f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x

h(32-5x) = 6(32-6x)

= 192 - 36x

Step-by-step explanation:

Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost

Answers

C(b) = 2.75b + 10

This is based of the f(x) = mx + b formula, where m is the slope, x is the variable (or input) and b is the y intercept. In this circumstance the slope is 2.75, so we change m for 2.75. The variable is the amount of books so we change it for b (like it says in the word problem), and and 10 is the starting cost, so it’s the y intercept, so we change b for 10.


Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Please help out will give brainliest to the first person

Answers

Answer:

b = 74

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles in a triangle

b-44 + b+18 = b+48

2b-26 = b+48

Subtract b from each side

2b-b-26 =b+48-b

b-26 = 48

Add 26 to each side

b-26+26 = 48+26

b =74

If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc

Answers

It gonna be 10 boss

If A=(0,0) and B=(8,2), what is the length of AB

Answers

Answer:

[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Therefore on substituting the respective values ,we can find the Distance as ,

[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]

Simplify the brackets ,

[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]

Square the numbers inside the squareroot ,

[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]

Add the numbers inside the squareroot ,

[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]

Find the value of squareroot,

[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]

Hence the distance between the two points is 8.24 units .

please help me (geometry)

Answers

Answer:

x = 7

Step-by-step explanation:

When two parallel lines are cut by a transversal, the corresponding angles are equal.

8x +2 = 7x + 9

Subtract 2 from both sides

8x = 7x + 9 - 2

8x = 7x + 7

Subtract 7x from both sides

8x - 7x = 7

x = 7

Answer:

x=7

Step-by-step explanation:

The 2 given angles are vertical to each other, so that means they are equal to each other.

To solve, set up an equation:

[tex]7x+9=8x+2[/tex]

Solve by isolating the variable. [Subtract and divide]

[tex]7x=8x-7[/tex]

[tex]-x=-7[/tex]

Multiply both sides by -1 to get rid of the negative sign.

[tex]x=7[/tex]

I hope this helps!

please someone help me! A farmer builds a fence to enclose a rectangular pasture, he uses 160 feet of fence. Find the total area of the area pasture if it is 50 feet long.

Answers

Answer:

Area= 2000 feet^2

Step-by-step explanation:

Know how to find the perimeter and the area of a rectangle

area=length*width

perimeter= 2*length + 2*width

Draw a rectangle

The question states that the pasture is 50 feet long

So the length of the rectangle pasture should be 50. We can label the 2 lengths of the rectangle to be 50 feet long

Since the farmer only has 160 feet of fence, we can say that because the pasture is a rectangle, we can label the width as 40 because 2*50+2*40=160

Now that we know the length and width, we can find the area by multiplying those 2 values together to get 2000

Plz help!! I need it ASAP

Answers

Answer:

you save $500 for 7 years at 6% compounding continuously

what is the final value...

A = $500 [tex]e^{.06(7)}[/tex]

Step-by-step explanation:

Solve for x.
10x – 79 = 2x + 49
x = [?]

Answers

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

Step 1:  Add 79 to both sides

[tex]10x - 79 + 79 = 2x + 49 + 79[/tex]

[tex]10x = 2x + 128[/tex]

Step 2:  Subtract 2x from both sides

[tex]10x - 2x = 2x - 2x + 128[/tex]

[tex]8x = 128[/tex]

Step 3:  Divide 8 from both sides

[tex]\frac{8x}{8} = \frac{128}{8}[/tex]

[tex]x = 16[/tex]

Answer:  [tex]x = 16[/tex]

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Step-by-step explanation:

x=16

determine whether the following polygons are similar. if yes, type 'yes' in the similar box and type in the similarity statement and scale factor. if no, type 'none'​

Answers

Similar: yes

Similarity Statement: AB ~ TQ , BC ~ QR

Scale Factor: 4/3

2) How much tax should be paid by a person having annual income RS 240.000?​

Answers

Answer:

What is the Existing / Old tax regime?

Income Range Tax rate Tax to be paid

Up to Rs.2,50,000 0 No tax

Between Rs 2.5 lakhs and Rs 5 lakhs 5% 5% of your taxable income

Between Rs 5 lakhs and Rs 10 lakhs 20% Rs 12,500+ 20% of income above Rs 5 lakhs

Above 10 lakhs 30% Rs 1,12,500+ 30% of income above Rs 10 lakhs

The graph of a logarithmic function IS shown below.

What is the domain of the function?
A.x<0
B.x>0
C.x<1
D. All real numbers

Answers

Answer:

Step-by-step explanation:

The domain includes all the "allowed" x values. Looking at the graph, it appears to start a tiny tiny bit to the right of 0, so it doesn't include 0. It also does not go to the left of 0. Therefore, the domain of the graph is x > 0

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