If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6


Related Questions

The value of the expression is

Answers

Steps to solve:

4 + (m - n)^4 when m = 7 and n = 5

~Substitute

4 + (7 - 5)^4

~Simplify

4 + 2^4

~Simplify

4 + 16

~Add

20

Best of Luck!

1st: plug in numbers
4+(7-5)^4
2nd: follow order of operations and you’ll end up with 4+2^4
3rd: 4+16=20

Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?

Answers

Answer:

13

Step-by-step explanation:

time=distance÷speed

time= 650÷50

Transversal t cuts parallel lines rand s. Which angles must be congruent to 22?
OA. 23, 26, and 27
OB.
27 only
OC. 27 and 26
OD
23, 25, and 26
Please will make brainiest

Answers

the answer is A 3,6,7

If transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

What is Coordinate System?

Coordinate systems are used to describe the (linear) position of points and the angular position of axes, planes, and rigid bodies.

A transversal is a line, ray, or line segment that intersects other lines, rays, or line segments on a plane at different intersecting points.

Congruent angles are two or more angles that are identical to each other.

The angle ∠2 measure is equal  to ∠3.

∠2 measure is equal  to ∠6.

∠6 measure is equal  to ∠5.

The measures ∠3, ∠5 and ∠6 are equal to the measure of ∠2.

∠3, ∠5 and ∠6 are congruent to  ∠2

Hence, if transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

To learn more on Coordinate system click:

https://brainly.com/question/29762404

#SPJ7

Find all numbers such that 18 plus 4 times the number is less than 30.

Answers

Answer:

The numbers are 2,1,0,-1,-2,..............etc

Step-by-step explanation:

This is actually a word problem

step one:

let the maximum number be  x  

18+4x<30

4x<30-18

4x<12

divide both sides by 4 we have

4x<12

x<3

step two:

From this analysis, we can see that all possible numbers are real numbers less than 3 that is 2,1,0,-1,-2,..............etc

PLEASE HELP ALGEBRA 2!!

Answers

Answer:

11) 2nd option

12)2nd option

13)3rd option

what is the sum of the equation? 15x-5x+5y+5y

Answers

Hey there!

ANSWER: [tex]10x+10y[/tex]EXPLANATION:

[tex]15x-5x+5y+5y[/tex]

To solve, first subtract the 2 numbers with x.

[tex]15x-5x=10x[/tex]

Now let's add the two numbers y.

[tex]5y+5y=10y[/tex]

So the answer will be 10x + 10y because 15x-5x is equal to 10x and 5y + 5y is equal to 10y. And then you just add the x and y.

[tex]10x+10y[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

10x+10y

Step-by-step explanation:

15x-5x= 10x

5y+5y= 10y

10x+10y

How do u write “the quotient of c and 2 “ as a variable expression?

Answers

The variable expression c/2 represents the quotient of c and 2, where c can be any numerical value or variable.

To write "the quotient of c and 2" as a variable expression, we can use the division operation to represent the quotient.

The variable expression would be:

c/2

c represents the variable, and dividing c by 2 gives us the quotient of c and 2.

Let's break it down further to understand this expression in more detail:

The term "quotient" refers to the result of dividing one quantity by another.

We are interested in the quotient of c and 2.

The variable c represents an unknown value or a variable that can take on different numerical values.

The number 2 is the divisor or the quantity by which we divide c to find the quotient.

By using the division operator (/), we can create a variable expression that represents the quotient of c and 2.

We evaluate this expression by substituting specific values for c, we will obtain the result of dividing c by 2.

If we let c = 10, then the expression c/2 would evaluate to 10/2, which equals 5.

If c = 6, the expression c/2 would evaluate to 6/2, which equals 3.

For similar questions on variable

https://brainly.com/question/28248724

#SPJ8

A cube has a surface area of 54 square centimeters, what is the side length?

Answers

Answer:

9cm

Step-by-step explanation: i think. ah

Answer:

3 cm³

Step-by-step explanation:

Formula a =√(A/6)

a = edge

A = Surface Area

a = √(54/6) = 3

FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST AND 10 POINTS!!!!!!! Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box. Release your mouse button when the item is placed if you change your mind drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression. 7^0

Answers

Answer:

The answer is 1

Step-by-step explanation:

-96 divided by (-12)

Answers

Answer:

8

Step-by-step explanation:

The angle between the minute hand and hour hand of a clock is 90°. What time is it?

Answers

Answer:

3:00.

Step-by-step explanation:

if it exactly 90 degrees you are looking for, your answer would be 3:0:0.

The two triangles in the sketch below are congruent. Which sequence could transform triangle ABC to triangle DEF? A translation 7 units down followed by a rotation 180° clockwise about the origin A translation 7 units left followed by a rotation 90° clockwise about the origin A translation 7 units right followed by a rotation 180° clockwise about the origin A translation 7 units left followed by a rotation 180° clockwise about the origin

Answers

Answer:

Its A

Step-by-step explanation:

If a and bare negative, then a + b is also negative.

Answers

Step-by-step explanation:

Example: -2+-5

It can also be written as -2-5.

How I do these problems, I do 2+5, which is 7. Then I add a negative sign. So -2+-5 or -2-5 is equal to -7.

-a+-b can also be written as -a-b. So yes, if a and bare negative, then a + b is also negative.

hope it helps!

given g(x)=5x+2 what is the value of g(3)

Answers

Answer:

g(3) = 17

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 2

g(3) = x = 3

Step 2: Substitute and Evaluate

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

Answer:

g(3) +17 !!!

Step-by-step explanation:

Convert 17.8 miles to km

Answers

Answer:

28.64632

also if you can can you please help me with my question

Answer:

not gonna lie

Step-by-step explanation:

28.64632 km

Is this statement true or false?
4 [3(5 + 2)] = 95 – 4.3
true
false

Answers

Answer:

The answer is false it’s supposed to be 84

Step-by-step explanation:

This would be false because the a swear is 63 and 95 minus 4.5 is 90.5

How many seconds of school are left before Thanksgiving break? Assume there are 34 days of school left and we are in school for 7 hours a day.

Answers

There are 856,800 seconds of school left.

Explanation:
First, I multiplied 34 by 7 because there are 7 hours spent in school and 34 days
- 34x7= 238: this is the number of hours left in school

Then I multiplied 238 by 60 because there are 60 minutes in an hour
- 238x60= 14,280: this is the number of minutes left in school

Lastly, I multiplied 14,280 by 60 because there are 60 seconds in a minute
- 14,280x60= 856,800: this is the number of seconds left in school

⅔ = 8⁄₁₂ Yes or No? Are they Equivalent?

Answers

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} [/tex]

yes

............

Help pls i need help !!

Answers

Answer:

Ray, Line, Transversal?, Plane, Segment

Step-by-step explanation:

A 175​-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

Answers

Answer:

35

Step-by-step explanation:

What is the domain and range of It’s
h(x)= -1/2(x-4)^2 +3

Answers

Answer:

Domain:  [ − 3 ,∞ )

Range:  ( − ∞ , 0 ]

Step-by-step explanation:

h ( x ) = − √ x + 3  

the domain:

x +3 ≥ 0  x ≥ − 3  

in interval form:

[ − 3 , ∞ )  

the range:

lowest possible value under the square root sign is zero, thus:

y ≤ 0  

in the interval form:

( − ∞ , 0 ]

What is the sum of 12 1/4 and it’s additive inverse?

Answers

Given :

A number [tex]12\dfrac{1}{4}=\dfrac{49}{4}[/tex] .

To Find :

What is the sum of 12 1/4 and it’s additive inverse .

Solution :

Fist we should know what is additive inverse .

Additive inverse of a number is that number , when added to it yield zero ,

Basically , for a real number , it reverses its sign :

The opposite to a positive is negative .

The opposite to a negative is positive .

Therefore , the sum of [tex]12\dfrac{1}{4}[/tex] and it's additive inverse is 0 .

Hence , this is the required solution .

Roselyn is driving to visit her family, which lives 150 km away. Her average speed is 60 km/h. The cars tank has 20 L of fuel at the beginning of the drive, and its feel efficiency is 6 km/L. Fuel cost 0.60 dollars per liter what is the price for the amount of feel that Rosalyn will use for the entire drive?

Answers

Answer:

15

Step-by-step explanation:

It was very long

The price for the amount of fuel that Roselyn will use for the entire drive is $25

What is an Equation?

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

Roselyn's family lives 150 km away.

Her average speed is 60km/h

The car tank has 20 L of fuel at the beginning of the the drive.

Fuel efficiency is 6km/ L.

The cost of the fuel is $0.60/L.

The total drive is 150km.

The 6km of distance requires 1 L of fuel

Then 150 km  of the distance requires

= 150 * 1 / 6

= 150/6

= $25.

To know more about Equation

https://brainly.com/question/10413253

#SPJ5

Which of the following answer choices shows which numbers from the list below are less than - 0.94?

Answers

Answer:

-2.23, -2 2/5, -0.95

Step-by-step explanation:

-15/16 = -0.9375 (greater than -0.94)

0.24 (greater than -0.94)

-2.23 (less than -0.94)

97% = 0.97 (greater than -0.94)

-2 2/5 = -2.4 (less than -0.94)

-0.95 (less than -0.94)

find the zero of the function p(x) = 1/4x-3

Answers

Answer:

x = 12

Step-by-step explanation:

Given

p(x) = [tex]\frac{1}{4}[/tex] x - 3

To find the zero let p(x) = 0, that is

[tex]\frac{1}{4}[/tex] x - 3 = 0 ( add 3 to both sides )

[tex]\frac{1}{4}[/tex] x = 3 ( multiply both sides by 4 )

x = 12 ← zero of p(x)

Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Syeda have left in her account on Thursday

Answers

Answer:

$22.70

Step-by-step explanation:

$80.45-$20.50=$59.95. $59.95-$37.25= $22.70.

hope i helped.

Answer:

22.70

Step-by-step explanation:

 80.45

- 20.50

 59.95

 59.95

- 37.25

22.70

Write the ratio in simplest form 9 to 12

Answers

The factors of 12 are 1, 2, 3, 4, 6, and 12. So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of 9 to 12 is 34 .

For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0

Answers

Answer:

1. -5

2. 1/3 (1 third)

3. -3

4. -1\2 (negative one and a half)

5.-4

6. 1.66666

Step-by-step explanation:

1.  Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5.        <—— this is for the first explanation

2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2

<———— this is for the second explanation

3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x      

<———- this is for the third explanation

4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3

<—————- this is for the fourth explanation

5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4

<—————- this is for the fith explanation

6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667

<—————- this is for the sixth explanation

Hope this helps :)

what are the coordinates of c’s after abc is translated 3 units to the left and 5 units up

Answers

Answer:

the coordinates are -2, -1.

Step-by-step explanation:

Answer:

(-2,-2)

Step-by-step explanation:

Find the smallest square number divisible by each of these numbers 6,9,and 15

Answers

Answer:

900

Step-by-step explanation:

6 = 2×3

9 = 3²

15 = 3×5

lcm = 2×3²×5 = 90

to have a square number multiple of 90 we have to multiply by 2 and 5

2×3²×5 × 2×5 = 2²×3²×5² = (2×3×5)² = 30² = 900

Good luck !

Other Questions
Why do you use a colon in a sentence?A. To set off dialogueB. To set off an explanationBoth of these are correct Maria had 4 full cement, blocks & one that was 5/9 the normal size, If each full block weight 3 8/9 pounds, What is the Weight blocks maria has? (20 POINTS!) Reflect on what elements of your home, school, or community have influenced you as an individual. In the space below, please describe howthese experiences, whether it is leadership opportunities, volunteer service, or life circumstances have impacted you and will help you. are y=2/3x-3 y=-3/2x+2 perpendicular? I know they intersect but i need to know if theyre perpendicular to each other. Please help ASAP!! Which of the following is the hypotenuse? *4, V32, 41st2nd3rd What is the effect of the biogeochemical cycles arrange the phases of mitosis in the correct order What is the direction and strength of the association between the variables? weak negative strong positive strong negative weak positive Find the value of x in the proportion 8/9 = x/36 Which explanation correctly describes why it is important for a cell's surface-area-to-volume ratio to not be too small? Radio button Not checked 1 of 4 Describe the four resultsof a stable food supplythat advance earlyhumans toward creatingtheir first civilization. (1) An animal can move under its own power; a rock cannot. (2) An animal responds to stimulation; a rock does not. (3) An animal takes in nutrients and breathes; a rock does not. (4) An animal excretes wastes; a rock does not. (5) An animal grows and develops; this is not true of a rock. (6) An animal can reproducethat is, have offspringwhereas a rock can't. (7) And finally, an animal, but not a rock, can and will die. (8) The characteristics of living things are sharply distinct from those of nonliving things. what I want to write in French:my favorite holiday is christmas. All my family gather and eat then pray. every family makes food. my gift is clothes or money. we socialize until midnight.Google translation:mes vacances prfres sont Nol. Toute ma famille se rassemble et mange puis prie. chaque famille fait de la nourriture. mon cadeau est des vtements ou de l'argent. nous socialisons jusqu' minuit.Is the translation right? Its because Im in French 2 and I just want to make the words easy so my teacher doesnt suspect that I know big words in French. Find the length of DE if D is between points C and E, CD = 6.5 cm and CE = 13.8 cm A student performs the following experiment.Step 1: she pours a colorless solution into a beaker that contains another colorless liquid. Yellow particles appear in the liquid.Step 2: she lets the yellow particles settle in the beaker and then separates the colorless liquid by decantstion. What most likely occurred in the beaker? What does "separation of powers" mean? (3 points)Government is divided into three branches.People are born with rights that cannot be taken away.Government may rule because the citizens consent.People have the right to life, liberty, and property. which term refers to a variable that is not allowed to change during an experiment Solve for x.x+16, 4x-5 solve for x: x-10=-22 What was the impact of the Chesapeake incident on Anglo-American relations?