Consider AABC with vertices A B C (3,1), (1, 2),and (4, 2) as shown in the accompanying diagram.

Is the triangle a right triangle? Justfify.

Consider AABC With Vertices A B C (3,1), (1, 2),and (4, 2) As Shown In The Accompanying Diagram.Is The

Answers

Answer 1

Answer:

  yes; AB ⊥ BC

Step-by-step explanation:

If the triangle is to be a right triangle, the slopes of two sides must be opposite reciprocals. The slope is the ratio of rise to run.

  mAB = rise/run = -3/4

  mBC = rise/run = 4/3

These slopes, -3/4 and 4/3 are opposite reciprocals (their product is -1), so ...

  AB ⊥ BC . . . the triangle is a right triangle


Related Questions

Mrs. Pham is planning a birthday party for her cats. She estimated that there will be 20 cats at the party, but there were 25 cats that showed up to the party. What is the percent error?

Answers

Answer:

The answer is ur mom

Step-by-step explanation:

ford leonard

Find the product of 2x2(6x 3). 12x3 12x3 3 12x3 6x2 2x2 6x 3.

Answers

Answer:

72

Step-by-step explanation:

We can calculate E, the amount of euros that has the same value as D.S. dollars, using the equation E= 17/20 D.

How many euros have the same value as 1 U.S. dollar?



How many U.S. dollars have the same value as 1 euro?​

Answers

Answer:

0.85

1.176

Step-by-step explanation:

E = 17/20 D

Let D = 1,

E = 17/20 × 1

E = 17/20 = 0.85

1 dollar = 0.85 Euro

E = 17/20 D

17/20 D = E

D = 20/17 E

Let E = 1,

D = 20/17 × 1

D = 1.176

1 Euro = 1.176 dollar

Draw and label a parallelogram
with a base twice as long as the height and an area less than
60 square inches. Determine the area.

Answers

20 length 2 height. 20 times 2 equals 40 square inches\

Appropriate and interesting word sum for :439 and 514 solve it

Answers

The word sum for 439 and 514 = 953

Word sum of whole numbers

Word sum simply means the addition of two or more whole numbers.

This means that to calculate the word sum of 439 and 514, the both given figures are added up together.

Given, 439 plus 514

That is,

439 + 514 = 953

Therefore, the word sum for 439 and 514 = 953

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The Shoe Outlet bought boots for $60 and marks up the boots 55% on the selling price. What is the selling price of the boots?

Answers

Answer: The markup- 122.225%

Revenue/price- 133.33$

Gross profit- 73.33%

Step-by-step explanation:

The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.

P = R - C

To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:

R = C / ( 1 - G)

The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :

P = R * G

The markup percentage M, in decimal form, is gross profit P divided by cost C.

M = P/ C

M * 100 will change the decimal to a percentage.

The selling price of the boots is $93.

Given information:

The Shoe Outlet purchased the boots for $60 and increased their price by 55%

To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.

Calculate the mark-up amount as follows:

Mark-up = 55% of $60

Mark-up = 0.55 * $60

Mark-up = $33

Add the mark-up to the original cost to find the selling price as follows:

Selling Price = Original Cost + Mark-up

Selling Price = $60 + $33

Selling Price = $93

So, the selling price of the boots is $93.

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Find the value of x. x°+65°+109°+136°=310°

(if you can, please show how you got the answer. :D)

Answers

Answer:

x=0

Step-by-step explanation:

x°+65°+109°+136°=310°

we know that this whole equation equals 310.

so we add all the numbers equaling x+174+136=310 : x+310=310

x clearly equals 0 and even then you can subtract 310 from both sides which still gives you 0.

hopefully this helps.

Heya!

Answer:

x° = 0°

Step-by-step explanation:

x°+ 65° + 109° + 136° = 310°

Add all of the degrees on the left side together.

x° + 310° = 310°

Subtract 310° from both sides.

x° + 310° = 310°

    - 310°   - 310°

+ 310° and - 310° cancel out. 310° - 310° is 0.

x° = 0°

So, x° = 310° is your answer.

Hope this helped! :D

A rectangle has an area of 24 square centimeters. What could be its length and width?

Answers

Answer:

true or false

Step-by-step explanation:

Receiving a customer who has an appointment is a routine query

Solve for x and y!

Show your work and you will get brainliest!

Answers

Answer:

x = y = 24.

Step-by-step explanation:

Here we are given a right angled triangle in which one of the angles is 45° . And one of the known side is 24√2 . And we need to find out the value of x and y.

Here we can use the ratio of sine as ,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{p}{b} [/tex]

Substituting the respective values,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{x}{24\sqrt2}[/tex]

Value of sin 45° is 1/√2 . So that,

[tex]\qquad\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{24\sqrt2}[/tex]

Cross multiply ,

[tex]\qquad\rm\longrightarrow x =\dfrac{24\sqrt2}{\sqrt2} [/tex]

Simplify,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\rm \blue{x = 24}}} [/tex]

Again , the third angle will be 45° . we know that the sides opposite to equal angles are equal. Therefore here ,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\blue{\rm y = 24}}}[/tex]

The values of x and y are 24

The triangle is a right angled triangle with an angle measure of 45 degrees.

The above means that:

The values of x and y are equal

So, we have:

[tex]x^2 + y^2 = (24\sqrt 2)^2[/tex]

Evaluate the squares

[tex]x^2 + y^2 = 1152[/tex]

x and y have equal values,

So, we have:

[tex]x^2 + x^2 = 1152\\\\[/tex]

[tex]2x^2 = 1152[/tex]

Divide through by 2

[tex]x^2 = 576[/tex]

Take the square roots of both sides

[tex]x = 24[/tex]

Hence, the values of x and y are 24

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The amount of time it takes for an ice cube to melt varies inversely to the
air temperature, in degrees. At 70°F the ice will melt in 20 min. How long
vill it take the ice to melt if the temperature is 85°F?

Answers

Answer:

Time goes down to 16.47 min

Step-by-step explanation:

Formula

Time to melt = k / Temperature      (I doubt it is this simple)

Givens

Temp = 70

Time = 20

k  =

Solution

20 = k / 70             Multiply both sides by 70

20*70 = k

k = 1400

Problem

What happens when Temp = 85?

Time = k / Temp

Time = 1400 / 85

Time = 16.47 Min

PLEASE HELP I NEED HELP ANSWER THE NEXT QUESTION GIVING BRAINLIEST TO CORRECT ANSWERS AND FIVE STARS WITH 20 POINTS PLEASE HELP ASAP​

Answers

Answer:

C, D and F

Step-by-step explanation:

volume of a cuboid = W x L x H

(where W = width, L = length and H = height)

Calculate the volume of each of the prisms (cuboids), then compare their volume with the range of 25 - 40 cubic units

Volumes

A:  4 x 4 x 4 = 64 cubic units

B:  3 x 7 x 2 = 42 cubic units

C:  4 x 4 x 2 = 32 cubic units

D:  2 x 6 x 2 = 24 cubic units

E:  3 x 5 x 3 = 45 cubic units

F:  2 x 3 x 6 = 36 cubic units

Therefore, prisms C, D and F have a volume between 25 and 40 cubic units.

Graph the radical equation that can be used to calculate the radius, r, of the tank. Use the lowercase "r" and the uppercase "V" when entering the equation. After the equation has been entered, set the value of pi to be 3.14.
and please explain how to use the graph and what should I type and where
Edmentum

Answers

Tank is made like Cylinder

So let's find r

Radius=rheight=h

[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]

[tex]\\ \tt\hookrightarrow r^2=\dfrac{v}{h\pi}[/tex]

[tex]\\ \tt\hookrightarrow r=\sqrt{\dfrac{v}{3.14h}}[/tex]

The equation to find radius of tank is r = √{(V)/(3.14×h)}

What is equation?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Quadratic Equation:This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2. Cubic Equation:A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3. Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

let r be radius of cylindrical tank

h be height of tank

V be volume of tank

Volume of cylinder is given by:

V = π×r²×h

r = √{(V)/(π×h)}

r = √{(V)/(3.14×h)}

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what is the range of 8,1,3,3,9,6

Answers

Answer:

The range is 8

Step-by-step explanation:

Recall that the range of a data set is the distance between the maximum and the minimum, therefore:

Range = Maximum - Minimum = 9 - 1 = 8

Answer:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

9−1=8

Step-by-step explanation:

So therefore,the range is 8

2x + 6 cm
5(x - 3) cm
Find the length of one side of the equilateral triangle.

Answers

Answer:

side = 20 cm

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate the 2 given sides and solve for x

5(x - 3) = 2x + 6

5x - 15 = 2x + 6 ( subtract 2x from both sides )

3x - 15 = 6 ( add 15 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

then length of side is

2x + 6 = 2(7) + 6 = 14 + 6 = 20 cm

Answer:

20 cm

Step-by-step explanation:

Properties of an Equilateral Triangle

Regular polygon with 3 sidesSides lengths are equalInterior angles are equal

Given information

length of one side:  (2x + 6) cmlength of second side:  5(x - 3) cm

Find value of x

As side lengths are equal, equate the expressions and solve for x.

   2x + 6 = 5(x - 3)

⇒ 2x + 6 = 5x - 15

⇒ 2x + 6 + 15 = 5x - 15 + 15

⇒ 2x + 21 = 5x

⇒ 2x + 21 - 2x = 5x - 2x

⇒ 21 = 3x

⇒ 21 ÷ 3 = 3x ÷ 3

⇒ 7 = x

⇒ x = 7

Side lengths

Substitute x = 7 into one of the given expressions.

⇒ length of one side:  2(7) + 6 = 20 cm

How do I solve this using substitution?

Answers

Answer :y=4   x=2

Step-by-step explanation:

Which is true regarding Armando’s use of algebra tiles? He used the algebra tiles correctly. He did not represent the two original factors correctly. The signs on some of the products are incorrect. Some of the products do not show the correct powers of x.

Answers

The correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.

Given

Armando used algebra tiles to represent the product 3x (2x -1 ).

Product

The number or expression results from the multiplication together of two or more numbers or expressions.

The correct way to find the product function is;

[tex]\rm = 3x (2x -1 )\\\\=3x \times 2x - 3x\times 1\\\\= 6x^2-3x[/tex]

Hence, the correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.

To know more about the product click the link given below.

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Someone please help me with this

Answers

Answer:

I think it's y = 1/4+2

Step-by-step explanation:

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price, in dollars, of the book?



\

Answers

Answer:

the selling price is 21 dollars

pls help me!! D:

find x and y

4x-4y=0
y= 2x+6

Answers

Answer:

x = -6

y = -6

Step-by-step explanation:

Solve using substitution.

Substitute 2x + 6 for y:

4x - 4(2x + 6)=0

Distribute the 4 to each term in the parentheses:

4x - 4(2x) - 4(6) = 0

4x - 8x - 24 = 0

Combine like terms

-4x - 24 = 0

Add 24 to both sides

-4x = 24

Divide both sides by -4

x = -6

Plug -6 back in for x to solve for y:

y = 2x + 6 = 2(-6) + 6 = -12 + 6 = -6

(x, y) = (-6, -6)

Answer:

x= -6 and y= -6

Step-by-step explanation:

Take 4x-4y=0 as eqn 1

and y=2x+6 as eqn 2

Substitute eqn 2 into eqn 1

4x -4(2x+6)=0

4x-8x-24=0

-4x-24=0

Move -24 to the other side

-4x=24

Divide both sides by -4

[tex] \frac{ - 4x}{ - 4} = \frac{24}{ - 4} [/tex]

x= -6

substitute x= -6 in eqn 2

y=2(-6)+6

y= -12+6

y= -6

=
Use <, >, or = to make the
statements true.
1 km
3,000 m
4L 4,000 mL

Answers

Answer:

1 km < 3,000 m and 4L = 4,000 mL

Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)

Answers

y-1=0•(x+4) Hope this helps!

The graph represents a linear function. (I need this right now no joking please)

Answers

[tex]y=mx+b[/tex] is general equation of linear function

We see that graph is decreasing ⇒ m<0

We have dirt (0;-3) ⇒ b=-3

Then let's try find m

look on dirt (-5;0), x=-5, y=0 ⇒

[tex]0=-5m-3\\-5m=3\\\\m=-\dfrac{3}{5}[/tex]

The answer is D

a school is running a fundraiser. For every $75 worth of wrapping paper sold, the school receives $20. How much wrapping paper must be sold to reach the fundraising goal of $2500?

Answers

Answer:

125

Step-by-step explanation:

if the school gets $20 per wrapping paper sold

then in order to earn 2500 the school must sell 2500/20=125

Answer:

9375

Step-by-step explanation

75/20 = x/2500

20x=187500

20x/20 = 187500/20

x=9375

hello help me with this question thanks in advance​

Answers

Answer:

1) 100/2 = 50°.

2) 50°

3) 50°

Reasons: rhombus, perpendicular bisector

- Toodles!~

[tex]\bold{\huge{\pink{\underline{ Solutions}}}}[/tex]

Answer 18 :-

We have,

Rhombus RAMS and Angle SMA = 100°

In rhombus, The diagonals bisect each other at an angle of 90° .

Therefore,

[tex]\sf{\angle{ AMR = 1/2}}{\sf{\angle{ SMS}}}[/tex]

[tex]\sf{\angle{ AMR = 1/2 × 100 }}[/tex]

[tex]\sf{\angle{ AMR = 50° }}[/tex]

Thus, Angle AMR is 50°

Hence, Option D is correct

Answer 19 :-

We know that,

The sides of rhombus are equal and parallel to each other

[tex]\sf{\angle{ AMR = }}{\sf{\angle{ RMS}}}[/tex]

[ Alternative interior angles ]

[tex]\sf{\angle{ RMS = 50° }}[/tex]

Thus, The value of Angle RMS is 50°

Hence, Option B is correct

Answer 20 :-

Here, we have to find the value of mAngleMSA

In ΔCMS,

By using Angle sum property

[tex]\sf{ 50° +}{\sf{\angle{MSC + 90° = 180° }}}[/tex]

[tex]\sf{\angle {MSC = 180° - 140°}}[/tex]

[tex]\sf{\angle{MSC = 40° }}[/tex]

Therefore,

[tex]\sf{m}{\sf{\angle{MSA = 40° }}}[/tex]

Thus, The value of mAngle MSA is 40°

PLEASE HELP W/ THIS QUESTION I ALLWAYS GET STUCK ON READING TIME!!!


what time does the clock show? Please tell me how to read time I will mark you the brainlyest.

Answers

Answer:

2:40

Step-by-step explanation:

Short hand (hours): a little past 2

Long hand (minutes): 40 -- 8*5=40

Solve for d. TYPE ONLY THE NUMERIC ANSWER

2d+2=4

Answers

Answer:

the answer is 1

Step-by-step explanation:

2 x 1 +2 = 4 mhm yes mk ok ~

OKURRRRRRRRRRRRRRRRR

Answer:

d=1

Step-by-step explanation:

You first need to isolate the variable, d. To do this, you move everything away from it, using the opposite order of operations for each variable. First, you need to subtract 2 on both sides which gives you 2d=2, then you divide 2 from 2d and divide it with the single 2 and get 1. Hope that helps :)

10. The measure of an exterior angle of a triangle is A. equal to the sum of non-adjacent interior angles. B. less than the sum of two remote interior angles. C. greater than the sum of two remote interior angles. D. always 180° ​

Answers

Answer: d is the answer it

Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions:​

Answers

It can be deduced that the chord of AB will be 16 cm and the chord of CD will be 12 cm.

How to calculate the chord

From the information given, we will use Pythagoras theorem to find half of AB. This will be:

= ✓10² - ✓6²

= ✓64

= 8.

Therefore, AB = 8 × 2 = 16cm

The length of CD will be:

= 10² - ✓8²

= ✓36

= 6

The length of CD = 6 × 2 = 12cm.

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A 2-column table has 3 rows. The first column is labeled Domain with entries 0, 1, 2. The second column is labeled Range with entries 32, 24, d. In order for the table below to show exponential decay, what must the value of d be in the table below? d = 16

Answers

Answer:

D = 18

Step-by-step explanation:

[tex]\underline{\boxed{\blue{\Large{\bf{Hello\:Brainlians}}}}}[/tex]

Find the area of the triangle formed by the likes joining the vertex of the parabola x^2=12y to the ends of its latus rectum .


[tex]\boxed{\sf{Note:-}}[/tex]

[tex]\\ \tt\hookrightarrow Spams, plagarised\: from \:web , Short \:answers \:will \:be \:deleted\; on\:the\:spot.[/tex]

[tex]\\ \tt\hookrightarrow Make\:sure\:you\:provide\:step\:by\:step\: solution\: without\: omitting\:any\:step.[/tex]
[tex]\\ \tt\hookrightarrow Attach\:the\: Diagram\:for\: solution.[/tex]


[tex]\boxed{\bf All\:the\:best!}[/tex]​

Answers

Hi there!

Parabola x² = 12y

→ x² = 4ay

→ 4a = 12

→ a = 12÷4

→ a = 3

So, the co-ordinates of the focus is:-

S(0,a)=(0,3)

Let AB be the latus rectum of the given parabola.

→ Coordinates of end-points of latus rectum are (-2a,a), (2a,a)

→ Coordinates of A are (-6,3), while B's coordinates are (6,3).

→ ∆OAB are O(0,0), A(-6,3), B(6,3)

Area of ∆OAB is :-

(Solving part attached as image)

=> 18 unit² is the required answer.

Answer:

18 sq. unit

Step-by-step explanation:

Parabola is x²=12y

On comparing it with

→x²=4ay

→4a=12

→a=12/4

→a=3

Finding the value of x.

→x²=12y

→x²=12×3

→x²=36

→x=√36

→x=6

When we have a=3 and x=6

(-x1,a)=(-6,3)

(x1,a)=(6,3)

Let,

(x1,y1)=(0,0)

(x2,y2)=(6,3)

(x3,y3)(-6,3)

Now,

Area=[tex]=\frac{1}{2} *b*h\\\\=\frac{1}{2} [x1(y2-y3)+x2(y3-y1)+x3(y1-y2)\\\\=\frac{1}{2} [0(3-3)+6(3-0)+(-6)(0-3)\\\\=\frac{1}{2} [18+18]\\\\\\=18.sq.units[/tex]

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