Find the value of x and QR if Q is between P and R.

PQ=2x
QR=x + 2
PR= 5x -10

Answers

Answer 1

Answer:

2x+x+2=5x-10

3x+2=5x-10

-3x -3x

2=2x-10

+10 +10

12=2x

2x/2=x 12/2=6

x=6

QR=x+2

6+2=8

QR=8

Answer 2

The value of x is 6 and the value of QR will be 8 units.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the value of x and QR if Q is between P and R.

PQ=2x

QR=x + 2

PR= 5x -10

The value of x will be calculated as below:-

2x+x+2=5x-10

3x+2=5x-10

2=2x-10

12=2x

x = 12 / 2

x =6

The value of QR will be calculated as below:-

QR=x+2

6+2=8

Therefore, the value of x is 6 and the value of QR will be 8 units.

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Related Questions

Help me with this question!

Answers

Answer:

...

Step-by-step explanation:

1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.

Answers

Step-by-step explanation:

ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.

In ∆ABD and ∆BAC

•AD=BC. (given)

•<DAB=<CBA (given)

•AB=BA. (common side)

Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}

can anyone help me please​

Answers

Answer:

fig.1 No, fig.2

Step-by-step explanation:

fig.1 is no because "a" has more than one output therefore it's not a function.

fig. 2 is yes because "a,b,c,d" have different outputs but not more than one

try the rest by yourself. have a good day and remember don't get stressed over the little things

Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0

Answers

Answer:

0.0300300030000...

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.

a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price

Answers

Answer:

40% increase

Step-by-step explanation:

c = final value - initial value

     ------------------------------------

                initial value

112 - 80 = 32

32 / 80 = 0.4

0.4 = 40%

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

y=x+5, or you could but y=1x+5 it’s the same thing

5/8k=25
how do i do this?

Answers

Answer:

[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

>

PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines

Answers

Answer:

Parallel lines

Step-by-step explanation:

A lumberjack can cut a log into 5 pieces in 20 minutes. How long does it take to cut a log of the same size and shape into 7 pieces? If you dont have the correct answer please dont comment

Answers

Answer:

28minutes

Step-by-step explanation:

Use this simple trick, it can be used almost everywhere

Time taken pieces

20mins 5

? 7

An x shape is always multiply and straight line is divide

So (7 x 20) ÷5

If u still don't understand, just comment again

Answer:

Step-by-step explanation:

No that is incorrect 28 is not the answer:

1. 4 cuts every 20 mins it would take one cut every 5 mins. You only need one more cut because 6 cuts make 7 pieces. If you draw it.

1/5= 6/30 so 30 mins!

Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3​

Answers

Answer:

check explanation

Step-by-step explanation:

in eqn 2,

y = 3 - 2x

substitute for it in eqn 1

3x² + y² = 20

3x² + (3 - 2x)² = 20

3x² + 9 - 12x + 4x² = 20

Group like terms;

3x² + 4x² - 12x = 20 -9

7x² - 12x = 11

x(7x - 12) = 11

x = 11,

OR

7x - 12 = 11

7x = 11 + 12

7x = 23

x = 23/7

x = 3.286

To get y, substitute for x in eqn 2

WHEN x = 11,

y = 3 - 2(11)

y = 3 - 22

y = -19

WHEN x = 3.286

y = 3 - 2(3.386)

y = -3.772

if f(x)= 2(3x²-2x+2). Find:

A) f(x+1)
B) f(3)​
C) f(y-2)

Answers

A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)

There are two precalculus sections at a high school. Mr.​ Abel's class has 10 girls and 6 ​boys, while Mr.​ Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a​ girl, what is the probability she is from Mr.​ Abel's class?

Answers

Answer:gggggggggg

Step-by-step explanation:

gggggggggggggggggggggggggggggggggggggg

Please can you solve this questions for me!!
It's important ​

Answers

15:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^5y^6}{xy^2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}y^{6-2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^4y^4[/tex]

16:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^2y^5}{xy^4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{2-1}y^{5-4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto xy[/tex]

17;-

[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{4x^5y}{16xy^4}\right)^3[/tex]

[tex]\\ \qquad\quad\sf\longmapsto (4^{1-2}x^{5-1}y^{1-4})^3[/tex]

[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^4y^{-3})^3[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4^{-3}x^{12}y^{-9}[/tex]

18:-

[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{5x^3y}{20xy^5}\right)^4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^{2}y^{-4})^4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4^{-4}x^8y^{-16}[/tex]

19:-

[tex]\\ \qquad\quad\sf\longmapsto y^{-7}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{y^7}[/tex]

20:-

[tex]\\ \qquad\quad\sf\longmapsto 7^{-2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{7^2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{49}[/tex]

21:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^{-5}}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^5[/tex]

22:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{2^{-4}}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 2^4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 16[/tex]

23:-

[tex]\\ \qquad\quad\sf\longmapsto x^5\times x^{-1}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^4[/tex]

24:-.

[tex]\\ \qquad\quad\sf\longmapsto x^{-6}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^6}[/tex]

25:-

[tex]\\ \qquad\quad\sf\longmapsto x^9(x^{-7})[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{9-7}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^2[/tex]

4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20 ​

Answers

Answer:

15x+55y+20

Step-by-step explanation:

mark me brainlest

The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be

⇒ 15x + 55y + 20 ​

The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.

More about the Algebra link is given below.

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fill in the dimensions and angle measures . Are the dashed segments parallel ?

Answers

Answer:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!

Answers

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99

Answers

Answer:

(G)77

Step-by-step explanation:

44+11=55.

55+22=77.

77+33=110.

110+44=154.

154+55=209.

(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fasttt​

Answers

Answer:

2

Step-by-step explanation:

first multiply everything by 6 to get rid of the fractions

then we get 5m-4 -6 = 24m -9m -30

simplify the equation 5m-10=15m-30

subtract 5m from both sides and add 30 to both sides 10m=20

divide by 10, m=2

Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)

Answers

I think this is the answer to the problem 5 1/6 - (B-7 4/5)

Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?

Answers

5m/s because 15/3 = 5

2,8,18,32,50,72 which term is the sequence is 512?

Answers

Answer:

16

Step-by-step explanation:

2+6=8

8+10=18

18+14=32

6+4=10 10+4=14

an+1=an+(2+4n)

a7=a6+26=72+26=98

a8= a7+30= 98+30=128

a9=a8+34=128+34= 162

a10=a9+38= 162+38=200

a11=a10+42= 242

a12=242+46=288

a13=288+50= 338

a14=338+54= 392

a15=392+58= 450

a16= 450+62=512

There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.

Answers

We know that:

There are n arithmetic means between the numbers 33 and -3

second last mean: second mean = 1:5

Using this, we can find that the value of n is 9.

Now let's see how we need to use the information.

"There are n arithmetic means between the numbers 33 and -3"

This means that we will have a sequence like:

33, a₁, a₂, ..., aₙ, -3

And by the given ratio, we know that:

aₙ₋₂:a₂  = 1:5

Also, because this is an arithmetic sequence we have:

a₁ = 33 + d

a₂ = 33 + d + d

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

Because of the ratio, we will have that:

aₙ₋₂/a₂ = 1/5

We can replace what the left side by:

(-3 - 2*d)/(33 + 2*d) = 1/5

now we can solve this for d.

-3 - 2*d = (33 + 2*d)*(1/5)

5*(-3 - 2*d ) = (33 + 2*d)

-15 - 10d = 33 + 2d

-15 - 33 = 2d + 10d

-48 = 12d

-48/12 = -4 = d

So now we know that the value of d is -4.

Now we can use the equation

aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d

to find the value of n:

33 + (n - 2)*d = -3 - 2*d

33 + (n - 2)*-4 = -3 - 2*-4

33 - 4n + 8 =  -3 + 8

41 - 4n = 5

-4n = 5 - 41 = -36

n = 36/4 = 9

The value of n is 9.

If you want to learn more, you can read:

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Answer:

Step-by-step explanation:

HI. just posted a question can u help me out pleas please

pls hurrryyyyyyy #42 only and show work

Answers

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70


Find the distance between the points (-3, 5) and (0, 1)

Answers

The distance between these two points is 5.

HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-​

Answers

Answer:

10 points away

Rewrite in simplest terms: -10f – 6(-9f +2)

Answers

Answer:

-44f - 12

Step-by-step explanation:

Here's the method :

-10f - 6 (-9f + 2 )

-10f + 54f - 12

-44f - 12

Answer:

[tex]44f - 12[/tex]

Step-by-step explanation:

[tex] - 10f - 6( - 9f + 2)[/tex]

[tex] - 6( - 9 + 2)[/tex]

[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]

[tex]6 \times 9f - 6 \times 2[/tex]

[tex]54f - 6 \times 2[/tex]

[tex]54f - 12[/tex]

[tex] - 10f + 54f[/tex]

[tex]( - 10 + 54)f[/tex]

[tex] = 44f - 12[/tex]

Simplify.

What is the answer?

Answers

Answer:

81[tex]y^{8}[/tex][tex]z^{4}[/tex]

Step-by-step explanation:

evaluate the function

Answers

Answer:

-16

Step-by-step explanation:

x = -3 is less than -2, so you should use the first equation 5x-1

thus, 5(-3)-1 = -16

How many solutions does the following equation have? 7 x - 5(2x - 4) - 8 = 15 - (3 - x) - 4x

a. no solution
b. exactly one solution
c. at least two solutions
d. infinitely many solutions

Answers

Answer:

no soultion

Step-by-step explanation:

did on paper

Answer:

exactly one solution

Step-by-step explanation:

got it right on khan lol

Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?

Answers

She has 5 more dollars in her bank account because she withdrew 20 which is -20 then added 25 and -20+25 is a positive 5 dollars in her bank account
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