Which angle in the triangle with vertices A (4, 4), B (5,6), and C (8,2) is a right angle?

Which Angle In The Triangle With Vertices A (4, 4), B (5,6), And C (8,2) Is A Right Angle?

Answers

Answer 1

The triangle does not represent aright-angled triangle

The coordinates of the triangle are given as:

[tex]\mathbf{A = (4,4)}[/tex]

[tex]\mathbf{B = (5,6)}[/tex]

[tex]\mathbf{C = (8,2)}[/tex]

Start by calculating the slopes of the lines that pass through the vertices of the triangles using:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]

[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]

[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB

[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]

[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]

[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB

[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]

[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]

[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC

None of the slopes have the following relationship with another slope

[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line

Hence, the triangle is not a right-angled triangle

Read more about triangles at:

https://brainly.com/question/3189840


Related Questions

Find 1*2+2*3+3*4+...100*101

Answers

Answer:

What kind of mathematics is this?

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Your first equation y=1/2(1+0.3)^t is going to be growth

Your second equation y=0.3(0.95)^t is going to be decay

Your third equation y=((1+0.03)^1/2)^2t is going to be growth

your fourth equation y=200(0.73)^t is going to be decay

your last equation y=4(1/4)^t is going to be decay

Step-by-step explanation:

You can find this by graphing each of you equations on desmos

Answer:

Step-by-step explanation:

See attachment

help me with this math question pls​

Answers

Answer:

length = 10 cm

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Al ( A is the cross sectional area and l is the length )

Here V = 125 and A = 12.5 , then

125 = 12.5 × l ( divide both sides by 12.5 )

10 = l

The length of the prism is 10 cm

Mr. Chaplin measured his son’s rectangular bedrooms for new carpeting. Whose bedroom has the greatest area?


George’s bedroom 3.5 meters by 4.4 meters
Steven’s bedroom 3.8 meters by 3.8 meters
Andy’s bedroom 3.6 meters by 4.1 meters

Answers

Answer:

Step-by-step explanation: multiply each and then you choose which one is greater

which is George’s bedroom 15.4

The area of George's bedroom is the greatest with 15.4 sq meters.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

George’s bedroom 3.5 meters by 4.4 meters,

∴ The area of George's bedroom is (3.5×4.4) sq meters.

= 15.4 sq meters.

Steven’s bedroom 3.8 meters by 3.8 meters,

∴ The area of Steven's bedroom is (3.8×3.8) sq meters.

= 14.44 sq meters.

Andy’s bedroom 3.6 meters by 4.1 meters.

∴ The area of Andy's bedroom is (3.6×4.1) sq meters.

= 14.76 sq meters.

So, the area of George's bedroom is the greatest.

learn more about rectangles here :

https://brainly.com/question/15019502

#SPJ2

Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.

Answers

Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.

Find the missing angle measurement in each set of supplementary angles.

Answers

Answer:

126°

Step-by-step explanation:

180-54 = 126

Supplementary angles form 180°. Let's take the missing angle as 'x'.

54° + x° = 180°

x = 180° - 54°

x = 126°

=》 Angle LJK = 126°

______

RainbowSalt2222 ☔

19x+5+16x=180
I need help with this I don’t understand

Answers

Hello!

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

19x+5+16x=180

First, add the x's together:

35x+5=180

Now, subtract 5 from both sides:

35x=180-5

35x=175

Divide both sides by 35 to isolate x:

x=5

Hope you find my answer helpful! Please give the crown if you do! (:

~SparklingFlower

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

Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?

Answers

Answer:

24,880

Step-by-step explanation:

A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:

A= 11,000e(0.048x17) = 24,875.80

round and you get 24,880

i hope this helps

Please help me with this question
I can't figure it out and please answer all of it

Answers

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

a. false

b. true

c. true

d. false

Step-by-step explanation:

hope this is right

(if not tell me in the comments and i will try to help you best i can)

GIVING BRAINLIEST!!!
A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?

Answers

The angle formed by the ribbon and the pole is 29°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle formed by the ribbon and the pole.

Hence:

[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]

The angle formed by the ribbon and the pole is 29°

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Answers

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892

4 1/4-2 3/5 what is the answer to this.

Answers

Answer:

1.65

Step-by-step explanation:

A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.

Answers

Answer:

width of 3 units

Step-by-step explanation:

let 'w' = width

let '4+5w' = length

P = 2l + 2w

44 = 2(4+5w) + 2w

44 = 8 + 10w + 2w

36 = 12w

w = 36/12

w = 3

a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3

Answers

$6.60 because 6.00 + 0.60 = 6.60

I need help please..​

Answers

Answer:

y=-1/2x+1

Step-by-step explanation:

the slope is -1/2 and y intercept is 1 so we plug it in to y=mx+b

common factor of 24 plz

Answers

Hey there!

Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.

24 = 1 × 2 × 2 × 2 × 3

24 = 2³ × 3 × 1

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

Hope it helps ya!

hlp me with this math problem

Answers

Answer:

0.5l+0.2s

Step-by-step explanation:

0.10x5l equals 0.5l

0.10x2s equals 0.2s

hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb

Answers

Answer:

the answer to hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb is hdshdjsh df ejnjg grkejfiejfirnigjre

Step-by-step explanation:

you have to multiply hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb by skjdkahdjhs to get jskhijdfkjd then multiply it by sijdikjakdj9uie. the answer would be hdshdjsh df ejnjg grkejfiejfirnigjre.

Solve for the value of t (photo)

Answers

Since the angle they have to equal is 97 the answer is 12

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

49 red marbles

Step-by-step explanation:

We should first make 5/12 have a base of 84, so that'll be

(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49

DUBS

Please consider giving me a brainliest! Thank you.

What is 25/9 as a mix fraction?

Answers

Answer: 2 7/9

Step-by-step explanation:

Answer: 2 7/9

Step-by-step explanation:

First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.

Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.

How many seconds, s, will it take for the balloon to drop to below 215 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.
--------------------------------------------------------------------------------------------------------------------
QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
----------------------------------------------------------------------------------------------------------------------
QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

What was the gopher's original position, p, relative to the surface?

Enter your answer to complete the inequality.
p__
-----------------------------------------------------------------------------------------------------------
Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.

Which inequality can Robbie use to determine how many shirts, s, he can buy?
_-------------------------------------------------------------------------------------------------------------------_
YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!

Answers

Answer:

For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.

 

The liquid can stay in the cooler fewer than 10.1 minutes.

Step-by-step explanation:

choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ​

Answers

The answers are:

2. Line UX and line WZ
3. Line VY and line WZ

Answer:

2.lineUX and lineVY3.lineVY and lineWZ

A square has an area of 146.41m2 work out the premeter of the square

Answers

Suppose that one of sides is x :

Area = x²

thus :

[tex]146.41 = {x}^{2} [/tex]

[tex]x = \sqrt{146.41} [/tex]

[tex]x = 12.1[/tex]

_____________________________________________

Perimeter = 4x

[tex]p = 4 \times 12.1[/tex]

[tex]p = 48.4[/tex]

The Perimeter of Square is 48.4 m.

What is Area and Perimeter of Square?

The Area of square is the product of the side.

Area of Square = side x side

and, The Perimeter of Square is 4 times the side of square

Perimeter of Square = 4 x side

Given:

Area of Square = 146.41 m²

Now, Area of Square = side x side

Area of Square  = side²

side² = 146.41 m²

side = √146.41 m²

side = 12.1 m

Now, the Perimeter of Square = 4 x side

                                                   = 4 x 12.1

                                                   = 48.4 m.

Lear more about Area and Perimeter of Square here:

https://brainly.com/question/29199125

#SPJ2

can 22.75 be rounded off to 23.5?
(im not smart pfft)​

Answers

Answer:

No

Step-by-step explanation:

22.75 can be rounded to:

22.8

23

20

Answer:

no only 22.8

Step-by-step explanation:

This is slopes is this supposed to be negative or positive????

Answers

This slope will be zero

PARALLEL PERPENDICULAR OR NEITHER

Answers

Answer:

Parallel

Step-by-step explanation:

Using these points, we can determine that the equation is as follows:

Line B: y = -2/3x + 7/3

And since Line A has the same slope, it would make Line A's equations like this:

Line A: y = -2/3x - 11/3

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

Translate the following phrase into an inequality:


"A number n minus 3.5 is less than or equal to 4."

PLEASE HELP I HAVE 6 MATH MISSING ASSIGNMENTS, I HATE HIGH SCHOOL

Answers

Answer:

The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.

x - 3 ≥ - 5

Add 3 on both sides of the inequality.

x ≥ -2

x is any number greater than or equal to -2.

If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.

These terms are important to understand when working with inequalities.

The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The phrase is,

"A number n minus 3.5 is less than or equal to 4."

Now it can be written in inequality form as,

(n - 3.5) ≤ 4

Therefore, the inequality is,

(n - 3.5) ≤ 4

To learn more about inequality visit:

https://brainly.com/question/25944814

#SPJ3

product of the polynomial 5x3 + 9x2 + 6x + 1 and the monomial x ?

Answers

Answer:

5x^4+9x^3+6x^2+x

Step-by-step explanation:

please answer fast
10 marks

Answers

Answer:

AB = 5.2 cm , ED = 5 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar by the AA postulate

Then the ratios of corresponding sides are in proportion , that is

(a)

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values

[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )

13.5 × AB = 70.2 ( divide both sides by 13.5 )

AB = 5.2 cm

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

(b)

[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values

[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )

6 × AD = 54 ( divide both sides by 6 )

AD = 9

Then

ED = AD - AE = 9 - 4 = 5 cm

Other Questions
I really need help on this question since my test is timed, this would be for edge 2o21.The lady had now brought the water, which thesoldier drank. He thanked her ceremoniously,bowed to her husband and rode away. An hourlater, after nightfall, he repassed the plantation,going northward in the direction from which hehad come. He was a Federal scout.Based on the excerpt, which is the mostreasonable plot prediction?A. Farquhar may unknowingly walk into a trap.B. Farquhar will pursue the soldier from theNorth.C. Farquhar and the soldier may engage in analtercation.D. Farquhar and his wife will forget about thesoldier. Read this excerpt from Chapter 1 of I Know Why the Caged Bird Sings by Maya Angelou and answer the question.When I was three and Bailey four, we had arrived in the musty little town, wearing tags on our wrists which instructed To Whom It May Concern that we were Marguerite and Bailey Johnson Jr. Negro passengers, who always traveled with loaded lunch boxes, felt sorry for the poor little motherless darlings and plied us with cold fried chicken and potato salad.Deducing from the diction, which of the following are possible audiences for the memoir? Select all that apply.train conductors and passengersCaucasian adults interested in American historychildren of three and four years of age like ones in the memoirAfrican-American adults from the South who can relate to Angelous storyLinks will be reported!!!! Can someone please help? Im in a rush and my brain cant process things well right now. Evaluate.(2)4Enter your answer in the box.PLEASE HURRRY AND HELP ME!!! Which is the quotient for 0.9 divide by 0.75 How many double bonds does CCL2H2 have? Where is the blue dot on the number line ? PLZZZZ HELPP I WILL MARK BRAINLYEST In which ways are the friends the same at the end of the story as they were at the beginning? In which ways are they different after they see the presentation? They want to become doctors. Ways they stay the same Ways they are different at the end They are close friends. They have a pact with each other. They are focused on a goal. please helpWhat does Zara give to David? A. A gift.B. A birthday cakeC. A greeting card.D. A surprise The founders believed that, because natural rights are universal, it's the job of the United States to protect rights all over the world.TrueFalse Katrina is solving the equation -2(x+3)= 4(2x+3)-(x+4). Which equivalent equations might Katrina use? Check all that apply. Ox-2x-6=8x+12-x-4 O x-2x+6= 8x+ 12- X+4 Ox-2x-6-8x+12-X+4 O x-2x+3 = 8x+3 - X+4 0-x-6-7x+8 O-x+6=7x+16 0-x-6-7x+16 O-X+3 = 7x+7 Whats an easy way to focus and get my homework completed quickly? The picture below shows the graph of which inequality? State the term used for the light that is transmitted when complex ions absorb wavelengths of visible light. Give the answer using two words only (and be careful with spelling). Choose the sentence that is written Incorrectly.The weather and changes in the moon affect man's behavior.In all probability, ten or twelve gallons more, depending on how dirty the bather is.Some other facts in the almanac proved to be interesting.We tried to follow the confusing, absurd directions. What impact did contact with whites have on Native communities? this is for Lewis and ClarkPLEASE HELP ASAP What is gibbs free energy. when he painted Head of aPablo Picasso was inspired bySleeping WomanO his wifeO African masksO the weatherO a still life Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form. If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.