Compare and contrast the Angle Angle Similanty Postulate, the Side Side Side Similarity Theorem and the Side Angle
Side Similanty Theorem
Write about the similantes and the differences that you observe.?

Answers

Answer 1

Answer:

The similarities are

1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria

2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria

3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;

AB/DC = AC/DE = BC/CE

The observed differences are

1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent

2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite

3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria

4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.

Step-by-step explanation:

The similarity postulates are;

The Angle Angle Similarity Postulate also known as AA

The Side Side Side Similarity Theorem also known as SSS

The Side Angle Side Similarity Theorem also known as SAS


Related Questions

Someone please help me

Answers

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

*I WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

-3

Explanation:

Rate of change in the interval

X=0 to X=3 is given by,

[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]

What is the average rate of change from x = 0 to x = −2?

Answers

Answer is    -3

How I got that answer:

The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-2-0)

m = (2 + 4)/(-2-0)

m = 6/(-2)

m = -3

A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.

What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?

Answers

Answer:

1 & 9

Step-by-step explanation:

I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.

Hope this helped!! Please mark as Brainliest and/or give a rating !! Thank You :)

1. Identify the domain of the following function:{(8,7),(4,9),(0,0),(1,17)} *

A. {0,7,9,17}
B. {0,1,4,8}

2.Identify the range of the following function:{(8,7),(4,9),(0,0),(1,17)} *

A.{0,7,9,17}
B.{0,1,4,8}

Answers

Answer:A

Step-by-step explanation:  The range are all othe y values (the outputs) in chronological order

Lisa walks at a speed of 3.25 miles per hour for 1.5 hours. How many miles does she walk in all?

Answers

Answer: 5.25 miles

Step-by-step explanation:

Translate this sentence into an equation.
The product of Victor's age 7 and is 84 .
Use the variable v to represent Victor's age.

Answers

Answer:

The product of Victor's age and 7 is 84 in equation form is 7v=84

Step-by-step explanation:

Let v be the  Victor's age.

We are supposed to Translate this sentence into an equation

The product of Victor's age and 7 is 84

Victor's age = v

Product of victor's age and 7 =[tex]7 \times v[/tex]

We are given that their product is 84

So,[tex]7 \times v =84[/tex]

Hence The product of Victor's age and 7 is 84 in equation form is 7v=84


What is the slope of the line whose equation is

y = - 3x + 6?

A. -1/2
B. 2
C. -3
D. 6

Answers

Answer:

-3

Step-by-step explanation:

Because it is multiplied by x

Answer:

C. -3

Step-by-step explanation:

The equation of the line is in point slope form.

y=mx+b

where m is the slope and b is the y-intercept.

The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.

We have the equation:

y=-3x+6

-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.

Therefore, the slope is -3 and the y-intercept is 6.

Since -3 is the slope, C is the correct answers.

Work out the value of 5² - 19 x 24

Answers

Answer:

5² - 19 * 24

= 25 - 456

= -431

Answer:

-431

Step-by-step explanation:

25-19x24

25-456

-431

what is her answer ?

Answers

Answer:

4

lolz sorry for a late answer bud

Step-by-step explanation:

Topic: Probability


Only complete question 13.

Answers

Answer:

see below

Step-by-step explanation:

Assuming the comma means and

a) P(A , E) = P(A) * P(E) = .1 * .5 = .05

b) P( A, L, E) =  P(A) * P(L) *P(E) = .1 *.4* .5 = .002

C This means that it snows in Abbostford, Lehtbridge and Estevan today  is .002 or .2%

A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently​

Answers

Answer:

All cubes, regardless of size, will have 6 faces and 12 edges.

Mr. Johnson has a garden in the shape of a kite with a length of 5 feet and a width of 4 feet. A bag of topsoil covers 10 square feet.

Answers

The area of each triangle is 5 ft²

The area of the garden is 10 ft²

The number of bags of topsoil needed is 1 bag

Hope this helps

-Carrie

Please mark brainliest

Stay safe

Answer:

The area of each triangle is ft

The area of the garden is 10  ft2.

The number of bags of topsoil needed is 1 .

what is the slope of the line shown below (4,8) (2,2)

Answers

Answer:

slope = 3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= (8-2)(4-2)

= 6/2

= 3

Answer:

If those are 2 points on the line, then the slope is 3.

Step-by-step explanation:

slope is rise over run.  (8-2)/(4-2) = 6/2 = 3

Find the focus of the parabola 2x^2=-y

Answers

Answer:

(0, -1/2)

Step-by-step explanation:

Rewrite this as y = -2x^2.  Because of the negative sign, as well as the fact that y is the dependent variable, we know that the graph of this parabola opens downward.

Comparing y = -2x^2 with

                   y = 4px^2, we see that 4p = -2, or p = -1/2.

The focus of this parabola is below the x-axis:  (0, -1/2).

A box contains 20 miniature golf putt-putt balls; 10 are

yellow, 6 are red, and 4 are pink. What is the probability of

picking a red golf ball, replacing it, and then picking a

yellow golf ball? Written as a percent?

Answers

Answer: The answer is provided below

Step-by-step explanation:

From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.

The probability of picking a red golf ball will be:

= 6/20 × 100

= 600/20

= 30%

If the red ball is replaced, the probability of picking a yellow golf ball will be:

= 10/20 × 100%

= 50%

if f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)

Answers

Answer: [tex](f-g)(x)=6x^2-2x-6[/tex]

Step-by-step explanation:

[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]

Take each function and subtract them.

[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]

The trick here is that the negative sign changes all of the signs inside the parentheses.

[tex](f-g)(x)=6x^2-4-2x-2[/tex]

Combine like terms;

[tex](f-g)(x)=6x^2-2x-6[/tex]

How many points does a plane have that is on the same line



Answers

In a three-dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line.

After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?

Answers

Answer:

The diver is 29 ft below the water surface

Step-by-step explanation:

Here, we are interested in calculating the diver’s final depth before the surface of the water.

Firstly he descends 18 feet before ascending 7 feet. His depth would thus be;

18ft -7ft = 11 ft initially

It is at this point he descended a further 18 feet which makes his total feet of descent = 11 ft + 18 ft = 29 ft

This means he is 29 ft below the surface of the water

Answer:

-29

Step-by-step explanation:

The diver is 29 ft below the water surface

4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
How much juice do five bottles hold?
[tex]4 \frac{1}{2} litres[/tex]

Answers

Answer:

2[tex]\frac{1}{2}[/tex] litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres

5 juice bottles ===> x

∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]

x = [tex]\frac{5 * 4.5}{9} litres[/tex]

x = [tex]\frac{22.5}{9} litres[/tex]

x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres

Hope this helps!!!

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y=-2/3 x+6.What is the point-slope form of the equation for this line?

Answers

Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

y - 8 = -2/3x - 2

y = -2/3x + 6

What is the least common multiple of 4 and 12?
4
12
24
48

Answers

Answer: 12

Step-by-step explanation: To find the least common multiple or lcm of 4 and 12, begin by listing the first few multiples of each number.

Multiples of 6

1 × 6 = 6

2 × 6 = 12

3 × 6 = 18

Notice that we skipped 0 × 6 in our list of multiples.

That's because 0 × 6 is 0 and our least common multiple can't be 0.

When listing the multiples of 12, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.

Multiples of 12

1 × 12 = 12

Notice that 12 is also a multiple of 6 so our least common multiple is 12.

We can stop here because all other multiples

that we find will be greater than 12.

So the least common multiple or LCM of 4 and 12 is 12.

Answer:

The LCM is 12

3  times 4 = 12 :)

PLEASE HELP!! In Moose, Wyoming, the snow level is modeled by the function y = 2x + 14. Here, y is the amount of snow in inches, and x is the number of hours after midnight (x = 0). 8. What is the meaning of the y-intercept in terms of the problem? 9. What is the meaning of the slope in terms of the problem? 10. What was the snow level at 8 a.m., when x = 8?

Answers

Answer:

8. The y-intercept represents the 14 inches of snow 0 hours after midnight.

9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.

10. 30 inches

Step-by-step explanation:

8. given in the text

9. given in the text

10.

[tex]y=2x+14[/tex]

[tex]y=2(8)+14[/tex]

[tex]y=30[/tex]

What’s the answer to this?

Answers

Answer:

256

Step-by-step explanation:

First..

8*2=16

Now

16 (squared)=256

Answer:

The answer is 32

Step-by-step explanation:

8 x 2 is 16

16 is 2 is 32

pls give me brainliest, I show work

Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)

Answers

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

Need Answer ASAP will give branliest to the first right answer

The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.



Have Rabbits

Do Not Have Rabbits

Total

Have Dogs

22

18

40

Do Not Have Dogs

23

27

50

Total

45

45

90



How many more students have rabbits than dogs?


1

4

5

10

Answers

10 more students have rabbits than dogs
10 more students have rabbits than dogs

Using the following image, solve for UW

Answers

answer:15x

Step-by-step explanation:

because 2x +3 is 5x 5x+10 is 15x

What is the length of HG? What is the length of HI?

Answers

? + 8 = 11
Subtract 8 from both sides.
? = 3
HG = 8

? + 6 = 9
Subtract 6 from both sides.
? = 3
HI = 3

Answer:

HI = 3 and HG = 3

Step-by-step explanation:

As you see from the bottom line, the length of the HIJ line = 9. 9 - 6 (6 is the length of the IJ line) = 3, so 3 is the length of the HI line. On the second picture, 11-8=3, so HJ = 3.

Edit: Whoops, i didn't see the second picture.

Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.

Answers

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

What additional piece of information must be known in order to calculate the volume of the cylinder below?

A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base

Answers

U also need to know the height of the cylinder

The formula for the volume of a cylinder is V= pi * r^2 * h

Answer:

height of the cylinder

Step-by-step explanation:

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