What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)

What Is The Perimeter Of This Quadrilateral?(5,5)(2, 4)(4, 1)(6, 1)

Answers

Answer 1

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]


Related Questions

17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____

18) y=4x^2-8x-5
a=__ b=__ c=__

1. Circle: Graph upwards/downwards

2.Vertical Axis of Symmetry
X=-b/2a
X=__

3.Vertx (plug in axis of symmetry):

4. Y-intercept (plug in 0):(0,_)

5. X-intercepts (Solve by any method):

X=__,__

6.Graph the equation below:

Answers

Answer:

17. vertex (3,8)

y intercepts = -10

18. a=4,b=-8,C=-5

1. graph downwards

2.x=1

3.vertex(1,-9)

4.y intercept = -5

5.x = -1/2 or X = 5/2


A 2.25 units
C 5 units
B 4 units
0 16 units

Answers

Answer:

B

Step-by-step explanation:

If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

BW × WD = AW × WC ( substitute values )

6 BW = 3 × 8 = 24 ( divide both sides by 6 )

BW = 4 units

Answer:

Option B

Step-by-step explanation:

Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.

AW * WC =  WD * BW

3 * 8     = 6 * BW

   [tex]\sf \dfrac{3*8}{6} = BW[/tex]

  BW = 4 units

7) There are 260 athletes at a meeting. They
each shake hands with everyone else.
How many handshakes were there?

Answers

33670
There were 260 people this means 1 person shakes the hand 259 people so we multiply 260 by 259 but each handshake count twice as there are two people involved so we will divide this by two

6. Rosanne is selling her Corvette. She wants to include a photo of her
car in the ad. Three publications give her prices for her ad with the
photograph:
Lake Success Shopsaver
$59.00
Glen Head Buyer
$71.00
Floral Park Moneysaver $50.00
a. What is the mean price of these ads? Round to the nearest cent.
b. What would it cost her to run all three ads?
c. If each of the three newspapers used the mean price as their ad
price, what would it cost Rosanne to run ads in all three papers?
d. Find the range of these ad prices.

Answers

Answer:

add them

Step-by-step explanation:

you have to add them all up because it says find the range

Work out size of angle x

Answers

Answer:

x=120°

Step-by-step explanation:

120×2=240

360-240=120

x=120

Answer:

Angle x = 120 Degrees

Step-by-step explanation:

Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees

e.g. Triangle have 3 sides

3 - 2 = 1

1 X 180 = 180

A Triangle has a total of 180 Degrees

Total Interior angle of a hexagon = 720 Degrees

Interior angle of a regular hexagon is 720 / 6 = 120

360 Degrees in a circle

360 - 120 - 120 = 120

please help me with this problem​

Answers

Answer:

x=34

Step-by-step explanation:

This is a 180-degree angle. This means, that when added, both sides must equal 180.

180-151=29

Since there is a "-5" on the side of x, we must add five to find x.

29+5=34

x=34

List three solutions for the inequality x≥5 and give one example of a number that is not a solutions.​​

Answers

Answer:

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand.JUST FOLLOW THE TEXT TO GET THE ANSWER OF THE INEQUALITY ×>5

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

Find the perimeter of ΔABC and how you got it.

Answers

Answer:

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Step-by-step explanation:

Given:

➳ AC || RP

➳ AC = 18 units

➳ AR = 14 units

➳ RB = 7 units

➳ CP = 10 units

To find:

perimeter of triangle ABC =?

Solution:

in ∆ABC and ∆RBP

since we know AC || RP,

then ∠ACP = ∠RPB

and ∠CAB = ∠PRB (Property of parallel lines)

and ∠B is a common angle in both traingles,

hence ∆ABC ~ ∆RBP from AAA property!

now,

using the properties of similar triangle,

[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]

To find perimeter of ∆ABC, add all the components.

Perimeter of ∆ABC = AR + RB + BP +PC + CA

Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Thanks for joining brainly community!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.

that is

[tex]\qquad \sf  \dashrightarrow \:\angle BCA = \angle BPR[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle BAC= \angle BRP [/tex]

[ They form pairs of corresponding angles ]

So, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]

The Triangles are similar, by AA criteria ~

let's assume measure of BP = x

Now, let's use its result :

[tex] \qquad \sf  \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x={x + 10 }{}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x - {x = 10 }{}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: units[/tex]

So, the required Sides of Triangle ABC are :

AB = 14 + 7 = 21 units

AC = 18 units

BC = 10 + 5 = 15 units

Therefore, Perimeter = AB + BC + AC :

[tex]\qquad \sf  \dashrightarrow \:21 + 18 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: \: units[/tex]

of money Itzel has left over after buying p bottles
of nail polish
What does the constant 25 represent in this
context?

Answers

The amount of money he had to spend in the beginning. Because 3.99 has to be the cost of each bottle.

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°

Answers

The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

What is the law of sine?

The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.

The figure of the problem is attached below. The length of AB which is L has to be find out.

The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.

[tex]AB=90-60\\AB=30^o[/tex]

The sum of all the interior angle is 180 degree. Thus, the angle ACB is,

[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]

Let suppose, the length of AB is a. Thus, by the sine law,

[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]

Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

Learn more about the sine law here;

https://brainly.com/question/2264443

#SPJ1

help me please!

I'm a little confused ​

Answers

Answer:

Is A

Step-b-step explanation:

40.5

Rachel’s dog had 13 puppies. She gave away 5 pups. How many puppies did Rachel have left.

Answers

Answer:

8 puppies

Step-by-step explanation:

13-5=8

Answer: she had 8 pups left

Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.

Hope this helps-

three sides of a quadrilateral are the same length. q. the length of the fourth side is 7 inches. the perimeter of the quadrilateral is 40 inches. write an equation that represents the situation

Answers

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

help me please i need help with all other 5 questions

Answers

Answer:

[tex] {6}^{3 } [/tex]

Step-by-step explanation:

[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]

PLEASEEEEEEEEEEEEEEEE :(

Answers

Answer:

A=128

Step-by-step explanation:

A=(25-9)^2/3√3+5

A=(16)^2/3√8

A=256/2

A=128

Answer number 3 please no bots please I’m just trying to get help.

Answers

Answer:

no 3. is C

no 4. 144 square inch

dhjejdjdoejehdicjf

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?


Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.

3 pi inches

6 pi inches

12 pi inches

24 pi inches

Answers

Answer:

6 pi inches

Step-by-step explanation:

Entire minute is one entire circle

  circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches

from 6 to 12 position is half of a cirlce , so 6 pi inches

Answer:

6 pi inches

Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW

have a nice day/night

-<-   :)

PLEASE HELP!

Andrew is flying a kite. The angle of elevation of the kite varies between 56° and 60°.
Andrew has let out 15 m of string on the kite. Draw a picture to model this situation.
Then, determine the minimum and maximum heights of the kite. Round the heights
to the nearest hundredth.
Minimum=
Maximum=

Answers

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the kite. Hence:

At an angle of 56°, the height is:

sin(56) = h/15

h = 12.44 m

At an angle of 60°, the height is:

sin(60) = h/15

h = 13 m

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

Find out more on equation at: https://brainly.com/question/1214333

For what value of x does 64 superscript 3 x baseline = 512 superscript 2 x 12?

Answers

The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite

How to determine the value of x?

The equation is given as:

[tex]64^{3x} = 512^{2x}[/tex]

Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2

[tex]2^{6*3x} = 2^{9*2x}[/tex]

Evaluate 6 * 3x and 9 * 2x

[tex]2^{18x} = 2^{18x}[/tex]

By comparing the exponents, we have:

18x = 18x

Divide both sides by 18x

1 = 1

Hence, the value of x in the equation is infinite

Read more about equation solutions at:

https://brainly.com/question/7784687

#SPJ4

Answer:

D) No Solution

Step-by-step explanation:

what is the equation of the line with the slope -3 through the point (3,5)?​

Answers

Answer:

[tex]\boxed{\sf{y=-3x+14}}[/tex]

Step-by-step explanation:

The slope-intercept formula can be used to find the equation of the line.

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}}[/tex]

The m represents the slope.The b represents the y-intercept.y-intercept is 14.

y=-3x+14

Therefore, the correct answer is y=-3x+14.

I hope this helps you! Let me know if my answer is wrong or not.

pls help on math lol​

Answers

Answer:

The slope is -8 and the y intercept is -6

Step-by-step explanation:

The first numbers are the slopes and the one after that is the y intercept. ALWAYS

The slope is -8 and intercept is negative 6

2(7+1)divided by 4+5

Answers

2(7 + 1) : 4 + 5 = 9/
1=9

What is the area of the unshaded part of the rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²

Answers

Answer:

D 26000

Step-by-step explanation:

100 x 100 = 10000

120 x 150 = 18000/2 = 9000

150 x 300 = 45000

10000 + 9000 = 19000

45000 - 19000 = 26000

The change in the x-coordinates of any two points on a line in the xyplane is
the
O A. slope
B. rise
C. run
D. angle
SUBMIT

Answers

Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN

Step-by-step explanation:

I WILL MARK BRAINLIEST

Answers

Answer:

C. $250

Step-by-step explanation:

-To find the unit rate you need to divide the Amount Earned by Time worked

-When you do this you get 6.25

-Then you multiply 6.25 by 40

-That equals 250 and therefore the answer is C

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d

Answers

Answer:

  c.  $77.00

Step-by-step explanation:

The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.

  1.86 × $41.40 = $77.00

The helment price will be $77.00 when the CPI is 186.

Answer:

C. $77.00

Step-by-step explanation:

Edge23

If 20% of a number is 8, find 10% of that number.

Answers

Answer:

20%=8

10%=?

by cross multiplications,

10×8=80

80÷20=4

Hence the answer is 4.

Answer:
4

Step-by-step explanation:

think about it we have 8 and 20 %, multiply 8 by 5 since theres 20 % and its 20 % of 100. 100 / 20 = 5 * 8 = 40 but since we have 20 and 10 % getting compared we obv know that it would be half what the answer for 20 % of would be so 4 :D

please help i hate math

Answers

Answer:

B and D I think

Step-by-step explanation:

im stuck and i need help

Answers

a right angle is always 90° and is you sum up all 3 of the angles of the triangle, you always get 180°, so:

180°-55°-90°= 35°

Other Questions
about problems i don't understand Which of the following polyhedra have the same volume? Select each geometry shape which have the same volume.A.A hemisphere with a radius of 2 cm.B.A sphere with a radius of 14 cm.C.A cone with a radius of 2 cm and a height of 4 cm.D.A cylinder with a radius of 13 cm and a height of 13 cm. If PQ || SR and PQRS is an isosceles trapezoid,find m You roll a 6-sided die. What is P(divisor of 12)? Write your answer as a fraction or whole number. The company of a certain weight loss pill claims that it increases metabolic rate by 20%. Critics of this pill state that there are no comprehensive trials to support the company's claim. Nevertheless, there are many verifiable cases of those who took the pill and lost significant weight. Whether or not the science behind the pill is sound, there's no denying its profound effects in some people.Which of the following statements best expresses the main conclusion of the above argument?The weight loss pill is demonstrably effective.The weight loss pill increases metabolic rate by 20%.Comprehensive trials have not been completed to support the company's claim. PLEASE HELP WITH THIS QUESTION!!!!!!!! will give brainlist. is it normal that i can blow up my tongue like a balloon? Please help!!! At a high school, the probability that a student is a senior is 0.20. Theprobability that a student plays a sport is 0.15. The probability that a studentis a senior and plays a sport is 0.05.What is the probability that a randomly selected student plays a sport, giventhat the student is a senior? A. 0.05 B. 0.25 C. 0.33 D. 0.15 Why should the UN have an army whats the answer need it quick First constitution of the U.S what type of industries are called cottage industries Why Don't Birds Get Electrocuted When They Land on Electric Wires? Read the excerpt below from Emilys diary about her visit to the public library. Complete the sentences with a verb in the preterit tense or with a direct object pronoun and a verb in the preterit tense. Which angles are congruent to each other?314 111210915513210 and 212216 and 26215 and 2729 and 214SubmitX Practice in the app Why did Charles Bonaparte have such a difficult time eliminating organized crime and corruption in many major US cities?Because Bonaparte had to borrow members of the secret service, those members werent able to focus their full attention on major investigations. Bonaparte shared traits with his great uncle Emperor Napoleon Bonaparte I, such as hypersensitivity to criticism. The Federal Bureau of Investigation was underfunded which made it difficult to travel from city to city quickly and efficiently. President Roosevelt did not trust Bonaparte to lead a group of investigators without politicizing such investigations All the available nutrient molecules distributed in the blood form a:. 100.0 grams of water at 4.0C is heated until its temperature is 37C. If the specific heat of water is 4.18 J/gC, calculate the amount of heat energy needed to cause this rise in temperature. a plane traveled 1hr and 20 min why coming back it use 80 min why?this is a challenge guys let's do it If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided byX + 3? Choose the appropriate form of the preterite or imperfect verb in each sentence:Por fin, yo (terminar) este (this) examen. please help will mark brainliest.