In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?

In Rectangle PLAN, PT = X + 3 And TL = 3x - 11. What Are The Lengths Of PA And NL?

Answers

Answer 1

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units


Related Questions

Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:

Cat toy $4

Cat food $12

Litter box $16

Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.

Answers

Answer: 16x+96

Step-by-step explanation:

Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96

Hailey's hair grows at a rate of 1/2 inch per month. How many months will it take her hair to grow a total of 8 inches?

Answers

Answer:

16 months for it to grow 8 inches

Answer:

16

Step-by-step explanation:

growth in 1 month = 1/2 inches

growth in x months = x*1/2 inches

total growth = 8 inches

thus,

8 = x*1/2

x = 8 / (1/2)

  = 16

Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.

What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet

Answers

Answer:

4 1/8 square feet

Step-by-step explanation:

Area= l*b assuming that it's a rectangle or a square

2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)

so, 2 3/4 converted will be- 11/4

& 1 1/2 converted will be- 3/2

11/4*3/2=33/8

Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,

The ans would be 4 1/8 sqft

help please!

Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.

Answers

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ5

I need help asap pleaseeee

Answers

Answer: B,C

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

Help me PLEASE!


2. When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets

home. Draw a graph to represent this situation?

Answers

Answer:  I can give coordinates (0,400) (1,350) (2,300) (3,250) (4,200) (5,150) (6,100) (7,50) (8,0)

Step-by-step explanation:

Deema starts at 400 which is y-intercept and goes down on a slope of -50 cause we are decreasing 50 mi for every hour she drives.

Hope this helped :) !!!!!!!

The coordinates of the graph representing the given situation are listed below

 A (0 ,400)

 B ( 1 ,350 )

 C (2,300)

 D(3,250)

  E(4, 200)

  F(5, 150)

  G(6, 100)

   H(7, 50)

   I (8, 0)

The graph attached shows the nature of the graph.

Total distance traveled by Deema = 400 miles

The average speed of  Deema = 50 mph

In each 1 hour, 50 miles of distance will be covered

So by the rate of 50 miles per hour the coordinates in this situation are given as follows

Time (X axis)           Distance (Y axis)

  0                                  400

   1                                  350

   2                                 300

   3                                 250

   4                                 200

   5                                 150

   6                                 100

   7                                  50

   8                                   0

The coordinates of the graph are listed above and the nature of graph is shown in the figure attached in the solution.

The graph of this situation has a constant negative slope.  

For more information please refer to the link given below

https://brainly.com/question/12322912

The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.

Answers

Answer:

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

The calculation is as follows:

For Elevator A: -4x+16

And,  

Elevator B: -3x +16

Therefore the above statements are true.

Learn more: https://brainly.com/question/20492533?referrer=searchResults

50 points!

Select the correct answer.

Which equation has an extraneous solution?

Answers

Answer:

C. Square root of x = -5

Step-by-step explanation:

Answer: c [tex]\sqrt{x} =-5[/tex]

Step-by-step explanation:

Eight more then seventimes a number (x) is atleast twenty nine

Answers

Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73

Some number decreased by seven is thirty-three. x - 7 = 33

A number increased by twelve is forty. x + 12 = 40

A number increased by fifteen is sixty-two. x + 15 = 62

Eight less than a number is nine. x - 8 = 9

A number divided by 11 is 4. x/11 = 4

Seven more than three times a number is 19. 3x + 7 = 19

Four more than five times a number is thirty-six. 5x + 4 = 35

Eight less than nine times a number is eleven. 9x - 8 = 11

Twelve more than four times a number is seven. 4x + 12 = 7

Seven more than triple a number is fifteen. 3x + 7 = 15

Seven times a number increased by eight equals twenty-three. 7x + 8 = 23

Eight more than six times a numbers is eleven. 6x + 8 = 11

Nine times a number increased by thirteen is twelve. 9x + 13 = 12

The quotient of a number and four is seventeen. x/4 = 17

A number increased by seven is twenty-five. x + 7 = 25

Fifty-five is the sum of a number and sixteen. x + 16 = 55

The product of a number and eleven is seventy-five. 11x = 75

Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37

The difference of a number and twelve is thirty-four. x - 12 = 34

Step-by-step explanation:

Answer:

x is equal to or greater than 3

Step-by-step explanation:

7x + 8 => 29

7x => 21

x => 3

find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.

Answers

Answer:

the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Step-by-step explanation:

Given the equation

$t² = 324$

Let us solve the equation

[tex]t^2=324[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]

as

[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]

so

[tex]t=18,\:t=-18[/tex]

Thus, the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Ur account got ha ked again...

well...

ill let you see for

8 - 5.5 =
10.5 - 8=
13 - 10.5 =
15.5 - 13=

Answers

1. ) 2.5
2.) 2.5
3.) 2.5
4.) 2.5
Lol wow :)

1) 2.5

2) 2.5

3) 2.5

4) 2.5

The football team has a total of 20 jerseys. There are 2 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

10%

Step-by-step explanation:

The answer is 10% because when you multiply 20 by 10% you get 2 and if you multiply 2 by 10 you get 20.

Answer:

10%, remember to hit that thanks button

Step-by-step explanation:

I need help. If you can, thank you.

Answers

Answer:

Y = 2x + 1

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Y =2x +1 there hope it’s helps

Find the sale price. Round to the nearest cent. regular price: $49.71 percent of discount: 20%

Answers

Answer:

$39.77

Step-by-step explanation:

I need help please #23

Answers

The answer of question 23 is 24

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

i neeed thiss pleaseeeeeee!!!!!!

Answers

2 the answer is two I think

a=zm+z solve for m please help!!!!!

Answers

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4

Answers

Answer:

The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Step-by-step explanation:

We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)

We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0

We need to find k, by putting value of x=-5 as given in question the point(-5,4)

-5+k=0

k=5

So, the equation of line will be found by putting k=5:

x+k=0

x+5=0

x=-5

So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

34

Step-by-step explanation:

184 divided bye 4

Answer:

37 miles

Step-by-step explanation:

148/4

plz, answer the question in the photo.

Answers

Answer:

I'm pretty sure its 1 1/8

Step-by-step explanation:

the answer is H. -11/18

In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?

Answers

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:

[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)

[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]

[tex]T = 48.5\,^{\circ}F[/tex]

And the number of heating days is:

[tex]H = 65-48.5[/tex]

[tex]H = 16.5[/tex]

The number of heating degree days is 16.5.

what is the slope of a line perpendicular to the line y=-1/4x-1

Answers

-1/4
I really hope this helps

slope of line perpendicular to the line y=-1/4x-1 is 4.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

URGENT!!!!!!!!!!!!!! help please!!!

Answers

It would be d I believe

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Yes they’re both right angles and to get either triangle you divide or multiply by 1/2 or 2

Which of the following equations have no solutions?

Answers

Answer:

A

Step-by-step explanation:

If the variable quantities are the same, but the constants are different, then that equation has no solutions.

Rewrite 7/2+ 14/25 as a single decimal.

Answers

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?

Answers

Answer:

26 flower arrangements

Step-by-step explanation:

14 times $17 equals $238

$576 - $238 = $338

$338/13 = 26 flower arrangements

14. A pair of cars, 280 miles apart, begin at the
same time to run toward each other. If car A from
city A runs at a rate that is 10 mph faster than car
B from city B, and if they meet 2 hours later, how
far is the place they meet away from city A?
Please help

Answers

Answer:

Step-by-step explanation:

hi malak

yooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer:

yooooooooooooooooooooooooooooo

Other Questions
Marina simplified the expression 4x + 5(4x b) (x 2) to be 17x 8.What was the value of b? A. 6 B. 2 C. 2 D. 10 do u like sports and do you have a fave team NEED HELP ASAP!! PLEASE Please look at image before answering. What are some question you could ask a historian about the Yorktown Campaign? What is (2x66)^56x20^y3 solve it plz right not a fake answer GMMThe numbers are36XAnd 46 degrees At statehood, which group was not permitted to vote by the Oklahoma Constitution?A freedmenB. womenC. American IndiansD. senior citizens Which best explains the role of William B. Travis in the Texas revolution..A he commanded the forces that defeated Sam Houston at the battle of San jacinto.B he commanded the forces that preferred death over surrender at the Alamo.C he commanded the forces that surrendered at goliad and were massacred by Mexican troops.D he was the first Anglo American settler to declare independence from Mexico what is the slope of (1,-3) and (-5,-4) The "Triangle Trade" and "Columbian Exchange" are terms used to describe themovement of goods between Western Europe, West Africa, and1. Central Asia2. the Americas3. Australia4. the Middle East PLEASE HELP HURRY ILL MARK BRAINLEST please help me!!!!!!!!! Solve 4h = 92 for h.h = ___ which type of college credit program does the statement describe? Which method of project selection gives consideration to the time value of money in a capital budgeting decision?A. Payback method. B. Average rate of return. C. Accounting rate of return. D. Discounted cash flows method. PLS HELP DUE SOON: (basically it's a retest) will give brainliest "I gave an employer 7 resumes of graduates to interview. He called to do a phone screen and schedule interviews. Guess how many interviews he scheduled? Zero. People didnt answer their phone, their voicemail was full, had disconnected numbers (they didnt update the CS resume), or had crazy music as their voicemail. Do you want to miss a job because of that? When someone says to me, 'but no one is calling me for an interview', this is the first thing I think of."Reflection Question: After learning about the phone screen process, what do you need to do to prepare for your phone screens? Select one of the following factors and evaluate how it impacted the rise of Muslim empires:o military conquestso treatment of minority religionso advances in art, literature, and technology Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How manymiles did Robin run? please answer this :(