Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)

Use The Figure To The Right To Find The Value Of PT. T Is The Midpoint Of PQ.PT = 5x +2 And TQ = 7x-6PT=(Simplify

Answers

Answer 1

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, PT and TQ are both equal segments of line PQ.

PT is given as 5x + 2,

TQ = 7x - 6

Therefore:

[tex] 5x + 2 = 7x - 6 [/tex]

Solve for x

[tex] 5x + 2 - 7x = 7x - 6 - 7x [/tex]

[tex] -2x + 2 = -6 [/tex]

[tex] -2x + 2 - 2 = -6 - 2 [/tex]

[tex] -2x = -8 [/tex]

[tex] \frac{-2x}{-2} = \frac{-8}{-2} [/tex]

[tex] x = 4 [/tex]

PT = [tex] 5x + 2 [/tex]

Input the value of x

[tex] PT = 5(4) + 2 = 20 + 2 = 22 [/tex]


Related Questions

What are the first five multiples of 12?

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

A multiple is a number that can be divided by that number with no remainder. For example, multiples of 5 are 5, 10, 15, and 20.

A multiple of 12 is basically 12 × (number of multiple), for example, if you want the second multiple of 12, you would multiply 2 by 12.

So multiply 12 by 1, 2, 3, 4, and 5.

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

The first five multiples of 12 are 12, 24, 36, 48, and 60.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

12,24,36,48, and 60

Ues the diagrams to solve for x and y.

please try to explain too please​

Answers

Answer:

y=4 , x= 12

Step-by-step explanation:

This question deals with linear equations so, with this problem, subsitution is the easiest form of solving.

x + y = 16

8 + y = x

Now you know that x = 8 + y, so replace it in the opposing equation.

8 + y + y = 16 (simplfy)

8 + 2y = 16  (subtract  8 from each side)

2y = 8 (divide each side by 2)

y = 4

plug into other formula

8 + 4 = x

x =12

Answer:

y=4 , x= 12

Step-by-step explanation:

x + y = 16

8 + y = x

8 + y + y = 16 (simplfy)

8 + 2y = 16  (subtract  8 from each side)

2y = 8 (divide each side by 2)

y = 4

8 + 4 = x

x =12

Bill and gwyll are going on holiday to the USA. Bill changes £450 into $729 Gwyll changes £500 into $780 What exchange rate did bill get? What exchange rate did Gwyll get?

Answers

Answer:

Bill's exchange rate was $1 to £1.62

Gwyll's exchange rate was $1 to £1.56

Step-by-step explanation:

Given

Bill changed £450 into $729

Gwyll changes £500 into $780

Required

Determine their exchange rates

Exchange rate is calculated by dividing the currencies against one another.

Given that they both changed from pound to dollar, the exchange rate is calculated as thus;

[tex]Rate = \frac{Amount\ in\ pound}{Amount\ in\ dollar}[/tex]

Calculating Bill's Exchange Rate

[tex]Rate = \frac{\£729}{\$450}[/tex]

[tex]Rate = \frac{\£1.62}{\$1}[/tex]

Represent as a ratio

[tex]Rate = \£1.62:\$1[/tex]

Hence, Bill's exchange rate was $1 to £1.62

Calculating Gwyll's Exchange Rate, using the same formula and steps

[tex]Rate = \frac{\£780}{\$500}[/tex]

[tex]Rate = \frac{\£1.56}{\$1}[/tex]

Represent as a ratio

[tex]Rate = \£1.56:\$1[/tex]

Hence, Gwyll's exchange rate was $1 to £1.56

Dwayne had 136 songs on his phone. He deleted 56 songs. What is the
ratio of songs he kept to songs he deleted in its simplest form)?​

Answers

Answer:

10 : 7

Step-by-step explanation:

Deleting 56 songs leaves 136 - 56 = 80 songs, thus

ratio of songs kept : songs deleted = 80 : 56 ( divide both parts by 8 )

80 : 56 = 10 : 7 ← in simplest form

1 Joan went to the bookstore. • At this bookstore, 3/4 of the books are fiction. • Of the fiction books, 1/3 are mystery books. What fraction of the books at the bookstore are mystery fiction books?

Answers

Answer:

1/4 would be mystery i think because 3/4 of them are fiction and 1/3 of them are mystery fiction.

Answer:

1/4

Step-by-step explanation:

What is 2,440 divided by 8 can you show your work please?

Answers

Answer: [tex]305[/tex]

Shown work is on the image below.

What are the angles in a 30˚- 60˚- 90˚ triangle after it is rotated 45˚?
Group of answer choices

75˚-105˚-135˚

30˚-60˚-90˚

None of the above

45˚-45˚-90˚

Answers

Answer:

The correct option is;

30° - 60° - 90°

Step-by-step explanation:

Rotation is one of the three rigid transformation of which others are reflection and translation. In a rotation transformation of a figure about a fixed point, known as the center of rotation, the figure is turned in a circular path about the fixed point or center of rotation. The size and shape of the pre-image the rotation are the same however, depending on the angle of rotation, their facing directions may be different. The specification of a rotation can be in the clockwise direction or in the anti-clockwise direction

The shape of the triangle in the question and the image are the same and are therefore congruent. All interior angles of the triangle and those of its rotation will therefore be congruent.

The swimming pool near Maya's house charges $6.00 per visit. There is also a yearly pass available for $190.00. Maya is deciding whether
she should buy the yearly pass.
What is the fewest number of visits Maya must make to the pool so that the yearly pass will be less expensive than paying $6.00 per visit?

Answers

Answer:  31 times

Step-by-step explanation:

The way solve the problem is, you multiply $6.00 by 31 ( How I did it I multiply a lot of numbers by $6.00...) and you get $186.00. now 6 cannot fit in any further you have the cost, and the number of times Maya can go, without paying for the pass.

Find the factors in the expression: 3x( x +4)
A 3x, x and 4
B 3x and ( x + 4)
C 3, x and (x + 4)
D 3, X, X, and 4

Answers

A, because 3x count as one, x count as one , and 4

What is the quotient and remainder of 21÷6

Answers

Answer:

3 remainder 3

Step-by-step explanation:

The table below shows the number of miles that a cross country team ran each day last week. What is the mean number of miles? Round your answer to the nearest tenth, if necessary. Cross Country Training Routine Day Miles Mon 6 Tues 8 Wed 7 Thurs 6 Fri 8 Sat 7 Sun 8 Group of answer choices 7.1 miles 6.7 miles 6.3 miles None of the other answers are correct 7 miles

Answers

Answer:

7 miles.

Step-by-step explanation:

6+8+7+6+7+8/6

42/6

= 7 miles

The answer is 7 miles.

[tex]\frac{bt7}{4} =9[/tex]

Answers

Greetings from Brasil...

Isolating BT we get 36/7

What's (-7)+9 Ps. This is adding integers

Answers

Answer:

Step-by-step explanation:

When two integers are in different sign, subtract and the result will have the bigger number sign

-7 + 9 = 2

Subtract and the 9 is the bigger number and its sign is +. So, the result is = +2 or 2

Kevin is looking for a job as a graphic designer. One ad lists a job that pays 64.6K. Another job he found has a weekly salary of $1,120. What is the difference in the weekly salaries of these two jobs? Round to the nearest dollar.

Answers

Answer:

The difference between the two weekly salaries is $122

Step-by-step explanation:

One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week

The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:

$1242 - $1120 = $122


Use the figure below for questions 5-8.
5. Name a point coplanar to point K.
6. Name the intersection of plane R and JL.
7. Name three non-collinear points.
8. Give another name for line JK

Answers

Answer:

5. Both M and N (but u just need to choose one)

6. K

7. You can choose (K,M,N) ; (J,L,M) ; (J,L,N) ; (M,N,L) ; (M,N,K)

8. Line JL or KL

A line segment is also a line but a line with finite length and has fixed endpoints. A point coplanar to point K is point M.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and has fixed endpoints.

The answers to the following questions can be given as shown below.

The coplanar point lies on the same plane. A point coplanar to point K is point M or point N.The intersection of plane R and JL is K.Three non-colinear points, (K,M,N) or (J,L,M) or (J,L,N) or (M,N,L) or (M,N,K).Another name for line JK is line KL or line JK.

Hence, Another name for line JK is line KL or line JK.

Learn more about Line here:

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What the range of the relation in the table below ?

Answers

the first option

letter a 0,2, 4

Answer:

the first option

letter a 0,2, 4

Step-by-step explanation:

It is the only possible answer

what is the value of x. 1.6(15x + 25)= -6x -5

Answers

Answer:

[tex]x = - \frac{3}{2} \: \: \: or \: \: - 1.5[/tex]

Step-by-step explanation:

1.6(15x + 25)= -6x -5

Multiply the terms

That's

24x + 40 = - 6x - 5

Add 6x to both sides

24x + 6x + 40 = 6x - 6x - 5

30x + 40 = - 5

Subtract 40 from both sides

That's

30x + 40 - 40 = - 5 - 40

30x = - 45

Divide both sides by 30

We have the final answer as

[tex]x = - \frac{3}{2 } \: \: \: or \: - 1.5[/tex]

Hope this helps you

Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not. 2Mb = F - g?
, Answer: b = ​

Answers

Answer:

b = (F - g)/2M

Step-by-step explanation:

2Mb = F - g

Divide each side by 2M

2Mb/2M = (F - g)/2M

b = (F - g)/2M

Answer: Answer in steps

Step-by-step explanation:

2Mb =f-g    Divide both sides by 2M

b= [tex]\frac{f}{2M} - \frac{g}{2M}[/tex]

In the Mississippi River Delta, fresh water (0% salinity) mixes with salt water from the Gulf of Mexico (3 1 2% salinity). If 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, how many gallons result, and what is its percent salinity? (Estimate a reasonable percent range for your answer before you solve.)

Answers

Answer:

The total resulting gallons of water is 4,000 gallons

The concentration of the resulting solution is 2.625% salinity

Step-by-step explanation:

The salinity of the fresh water from the Mississippi River Delta = 0%

The salinity  of the water from the Gulf of Mexico = 3 1/2%

Therefore, if 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, we have;

The total resulting gallons of water = 1,000 + 3,000 = 4,000 gallons

The total resulting gallons of water = 4,000 gallons

The concentration of the resulting solution is found as follows;

The concentration of the resulting solution = (3 × 3 1/2)/400 × 100 = 2.625%

The concentration of the resulting solution = 2.625% salinity.

can anyone pls tell me when do we cross multiply and when do we multiply 10 * 75 im really confused

Answers

You don't multiply liters of gasoline by distance.

They are directly proportional - the more gasoline you have the longer is the dictance you can go.

So it's cross multiply.

Another examlpe:

you are paid by hour for your work. The more hours you have worked, the more you are paid:

hours      payment

2 h            $36

5 h             x    

[tex]x=\dfrac{5\cdot36}2=90[/tex]

You would multiply 10•70 if they were inversely poportional values

For example:

1. speed and time of ride by given distance {the greater the speed the less time you need for a ride}

speed          time

10 m/s          75 s

 8 m/s           x

[tex]x=\dfrac{10\cdot75}{8}=93.75\,s[/tex]

2. price and kolos of apples - the higher the pice the less of kilos you can buy by given cash

price          kilos of apples

$2                8

$4                x

[tex]x=\dfrac{2\cdot8}{4}=4\,kg[/tex]

A line perpendicular
to y=5x+2

Answers

Answer:

5 x + 2

Step-by-step explanation:

Answer:

y = (-1/5)x + 2

Step-by-step explanation:

A line perpendicular to y = 5x + 2 would have a flipped opposite slope. Note the slope in the slope-intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Flip the slope:

y = 5x + 2

y = (-1/5)x + 2

y = (-1/5)x + 2 is your answer.

~

I need this explained for me, by the way, the red answers are actually correct.

Answers

Answer:

i can only answer number one

Step-by-step explanation:

you see that (2x+10) well 10^2=100(1 and a straight line is 180 so 180-100=80 that is how they got 80

Find the domain and range of the function represented by the graph. A Domain: −3

Answers

Answer:

Domain: (-3, 1]

Range: [-4, 0)

Step-by-step explanation:

Domain is all the x-values that can be plugged into the graph.

Range is all y-values that are outputted from inputting x.

We can see that our x-values span from -3 to 1. Since -3 is open dot, it is not included. Brackets signify inclusion.

(-3, 1]

We can see that our y-values span from -4 to 0. Since when x = -3 is open dot, the output y = 0 is also not included.

[-4, 0)

(4 + 2i) + (-3 – 5i)

Answers

Answer:

(1 - 3 i)

Step-by-step explanation:

(4 + (2 * i)) + ((-3) - (5 * i)) =

Answer:

1-3i

Step-by-step explanation:

Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm, what is her total pay for the week?

Answers

Answer:

$328.13

Step-by-step explanation:

First, find the amount of time she works every day.

Between 8:45 and 5:15, there are 8.5 hours.

Subtract 1 for her lunch break, so there are 7.5 hours worked every day

Then, calculate how much she gets every day:

7.5(8.75)

= $65.625

Multiply this by 5 to find her pay for the week:

65.625(5)

= $328.13 is her total pay for the week

The total pay for the week will be $318.75.

What is Algebra?

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

Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm.

The number of hours from 8:45 am to 5:15 pm will be 8.5 hours.

And the number of working days will be 5.

Then the total pay for the week will be

⇒ $8.75 x 5 x (8.5 - 1)

⇒ $8.75 x 5 x 7.5

⇒ $318.75

The total pay for the week will be $318.75.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Someone help me plzzzzzz

Answers

Answer:

Step-by-step explanation:

5x-4+7x-8=180

12x-12=180

12x=192

x = 16

5(16)-4= 80-4= 76 degrees

7(16)-8= 112-8= 104 degrees

9y  +  5 = 104

9y = 99

y = 11

9(11) + 5 = 99 + 5 = 104

what number sets or set does -5 belong to?

Answers

Answer:

-5 belongs to the set of Integers, Rational numbers, and Real numbers.

Integers, Rational numbers, Real numbers

Explain what the y-intercept of a line is

Answers

y= mx+ b, the y- intercept is b. It equals whatever point is on the y-axis

Answer:

The Y intercept happens when x = 0

Step-by-step explanation:

When x = 0, it lands on the y coordinate, creating the Y intercept

Umm okay this is IXL and I don’t know what to do???

Answers

Answer:

t⁹

Step-by-step explanation:

Whenever you multiply the same base with 2 different exponents, you add the powers together.

t⁴(t⁵)

4 + 5 = 9

t⁹

Answer:

Hey there!

a^b(a^c)=a^b+c

t^4(t^5)=t^9.

Let me know if this helps :)

Kayla ate 3 more than twice as many pieces of candy as Luke ate. If xx represents the number of pieces of candy that Luke ate, which expression represents the number of pieces of candy that Kayla ate?

Answers

Answer:

(xx*2)+3

you have to find twice as many before adding three

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