Given segment AX with point Q between A and X. AX = 25. AQ = 2y + 1. QX = 3y - 1.
We can set up an equation to solve for y using the fact that
y =
AQ =
QX =
Q

Answers

Answer 1

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

Answer 2

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

Read more about line segments at:

https://brainly.com/question/18983323


Related Questions

Andrew has a monthly cell phone bill. He pays a
monthly fee and a cost per minute. The graph to the
right shows his
cost per month depending on the
minutes used. What is the monthly fee for Andrew's
phone bill?
A. $49
B. $120
C. $60
D. $72

Answers

Answer:

C, $60

Step-by-step explanation:

It is where the graph starts even with 0 minutes.

Evaluate the expression for v = 8

Answers

V = 8, because it can’t be simplified any further.

Write a number y divided by 6 as an expression.

Answers

Answer:

y ÷ 6.

Step-by-step explanation:

An expression is a combination of a number(s) and a variable.

Here, we simply need to write the expression from the word problem in mathematical form.

"Number" is unknown.

Variables are used to represent an unknown value.

(The variable in this expression is y).

The word problem says a number y divided by 6.

This simply means: y ÷ 6.

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

A store pays $147 for a skateboard. If the store marks it up 75%, then marks it down 22%. What is the new cost​

Answers

Answer:

$200.65

Step-by-step explanation:

If they bought it for 147 then marked it up 75% you would do

$147+75%  = 257.25

THEN they mark down

257.25 - 22% = $200.255 which would be

$200.25 orrr $200.26

If there was only one government class, and Wes and Maureen were in that class of 38 students, what would be the probability that both Wes and Maureen would be selected as the two students to go to Washington? Is this still an example of independent events

Answers

2/14and no it is not but 2 divided by 38 = 2

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

Given that, Wes and Maureen were in the government class of 38 students.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Total number of outcomes =38

Number of favourable outcomes = 2

So, probability =2/38

= 1/19

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

what is 8 030 070 in words​

Answers

Answer:

eigth million thirty thousand seventy

i need help can someone help me​

Answers

the mode is $6.00

thats the number there is the most of

Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. Is this an increase or decrease?

Answers

decrease i believe
hope this helps

Answer:

it is a decrease

Step-by-step explanation:

hope that this helps

also why is this question so easy for a high schooler im in middle school and was able to figure it out

A and B are both positive integers. which expression is equivalent to -A- (-B) ?

answer choices:

B-A

-A - B

A - B

A + B

Answers

It was be B a negative number

how many ounces are equal to 1 1/2 pounds

Answers

24, 16 ounces is 1 pound. Half is 8 16+8=24
The answer is 12 fluid ounces

Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?

Answers

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

x+y=-9. I need help asap! Thank you!

Answers

Answer: -5 and -4

Step-by-step explanation:

Answer:

-6, -3

-9, 0

20, -29

-5,-4

etc.

Step-by-step explanation:

There are many. Did they give you any other info???

Pls help What is the volume of the following pyramid?

Answers

Answer:

It is c) 18 cm^3

Step-by-step explanation:

[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]

I hope that is useful for you :)

1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)

Answers

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

Pleas help! this is very hard!

Answers

Answer:

190

72

36

Step-by-step explanation:

Answer:

190

72

36

hope that helps

The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.

Answers

Answer:

38b = s

Step-by-step explanation:

38 students multiplied by the number of buses = the total number of students that can be carried by bus.

Please lmk if you have questions

Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?

Answers

Respuesta:

(-1, - 2,4)

Explicación paso a paso:

Dada la función:

ℎ (x, y) = 5000 - 0,001x2 - 0,004y2

Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido

H '(x, y) = (dh / dx, dh / dy)

dh / dx = 2 (-0.001x) = - 0.002x

dh / dy = 2 (-0.004y) = - 0.008y

H '(500, 300) = (- 0,002 (500); - 0,008 (300))

H '(500, 300) = (- 1; - 2,4)

Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)

Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 8 calories per square
inch, how many calories did he eat?

Answers

Answer:

175.929

Step-by-step explanation:

7pi = area of half of pizza

21.99x8 = calories in half of pizza

Find the radius of a circle with an area of 1017.36 in?, Use 3.14 for pi​

Answers

area of a circle = πr², where r = the radius of the circle

We can rearrange the formula to solve for r:

[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}}.[/tex]

Given an area of 1017.36 in² and using 3.14 for our value for π, the radius of our circle would be:

[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}} = \sqrt{\frac{\textrm{1017.36 }\mathrm{in^2}}{3.14}} \\ r = 18 \text{ } \mathrm{in^2}.[/tex]

Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?

Answers

Answer:

6:28 or 3:14

Step-by-step explanation:

if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14

Answer:

6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14

Rebecca wants to prove that if the diagonals in parallelogram are perpendicular, then it is a rhombus. Select the appropriate rephrased statement for Rebecca's proof

Answers

Answer:

The answer is C

Step-by-step explanation:

Khan Academy

Answer:

C

Step-by-step explanation:

The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression
to represent the width of the rectangle.

Answers

Answer:

area(rectangle) = Length * width

8w + 18 = 2 * w

8w + 18 = 2w

The temperature was less than -15°C. Write an equality and three possible solution.​

Answers

Answer:

x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).

3 Possible Answers:

-38*C

-26*C

-57*C

Step-by-step explanation:

Inequality:

x = temperature

< = less than

-15*C = the amount the temperature was less than

3 Possible Outcomes:

Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!

if log y=3(log 4 + log x), express y in terms of x. serious answers only please no files or nun of that.

Answers

Answer:

The expression is [tex]y = 64 + x^{3}[/tex].

Step-by-step explanation:

Let be [tex]\log y = 3\cdot (\log 4 + \log x)[/tex], the "log" component is refered to logarithms with base 10. By definition of logarithm and its properties, we derive an expression of [tex]y[/tex] in terms of [tex]x[/tex]:

[tex]\log y = 3\cdot (\log 4 + \log x)[/tex]

[tex]10^{\log y} = 10^{3\cdot (\log 4 + \log x)}[/tex]

[tex]y = 10^{3\cdot \log 4}+10^{3\cdot \log x}[/tex]

[tex]y = 10^{\log 4^{3}}+10^{\log x^{3}}[/tex]

[tex]y = 64 + x^{3}[/tex]

The expression is [tex]y = 64 + x^{3}[/tex].

y=6x+4
y=-3-5
how would you find the x and y values?​

Answers

Step-by-step explanation:

Substitution

substitute -3-5 into y

it becomes -3-5=6x+4

solve the equation to find the answer for X

then substitute the value of X you found again into the equation to find Y

my question is the picture​

Answers

Answer:

20 students

Step-by-step explanation:

You first have to add the number of students all up and you get 200.Then you do cross multiplication.

40/200 x s/100=

40x100= 4000=

200xs= 200s=

200s/200=

4000/200=

20=

What is the center and radius of the circle?

(x-1)^2 + y^2= 36

Answers

Answer:

Center = ( 1, 0)

Radius = 6 units

Step-by-step explanation:

[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414

How many who paid were adults?

How many who paid were seniors?

Answers

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

5

   

9

   

9

(

3

s

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

45

=

1506

33

s

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

5

=

 number of adults

3

(

47

)

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

6

=

282

136

9

=

1224

_____

 

1506

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

12.7

Step-by-step explanation:

[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]

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