Why does AAS congruence work?

Answers

Answer 1

According to the Angle-Angle-Side Postulate (AAS), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle. AAS congruence can be demonstrated with a few simple methods.

Triangles can be proved to be congruent using the methods SSS, SAS, ASA, and AAS, but SSA and AAA are invalid and cannot be utilized. The angle-angle-side theorem, or AAS, was discussed here. According to this theorem, triangles are congruent if two angles and any side of one triangle are congruent with two angles and any side of another triangle. An extension of angle-side-angle, or ASA, is this theorem.

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Related Questions

Caleb made a scale drawing of a theater. He used the scale 7 inches = 10 feet. What is the scale factor of the drawing?

Answers

Answer:

10 feet = 120 inches

120 / 7 = 17.1428571429

So, the scale is 17.1428571429 to 1.

 

Step-by-step explanation:

m-15=9 inverse operation

Answers

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

I’ll give brainliest! Help please!!!!

Answers

Don’t press that link please

can someone help me :)

Answers

Answer:

-61 degrees F

Step-by-step explanation:

2. The table below shows the amount that a catering company charges based on the
number of people at an event. Which of the following equations shows the
relationship between c, the amount the company charges based on p, the number of
people at the event?
People (p)
F. c = 16p
25
G. C = 75p + 13
50
Total Charge (c)
$400
$725
$1,050
$1,375
75
H. p = 13c + 75
100
J. c = 13p + 75

Answers

Answer:

The answer is j

Step-by-step explanation:

The equations shows the relationship between c and p is p= 13c + 75.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have table which shows amount that a catering company charges based on the number of people at an event.

So, the equation that can framed from the table as

(y- 400)= (725- 400) / (50-25)  . (x-25)

y- 400 = (325/ 25) (x-25)

y-400 = 13(x-25)

y-400 = 13x - 325

y = 13x - 325 + 400

y= 13x + 75

or p = 13c+ 75

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The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the value of a?

Answers

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is [tex]75\ in.^2[/tex]

The side length of the square is [tex]a\sqrt{3}[/tex]

Area of square[tex]=(\text{length})^2[/tex]

[tex]\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.[/tex]

Thus, value of a is 5 inch

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Answers

Answer:

X=3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

WRITE A NUMERICAL EXPRESSION !! Find triple the difference between 44.75 and 22.8 HELP ME GUYS IM TIMED RIGHT ANWSERS ONLY GUYS PLZZZ

Answers

Answer:

65.85

Step-by-step explanation:

44.75-22.8=21.95

21.95×3=65.85

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Answers

Answer:

N = number of guests

N = (150 ± 30)/25

maximum N = 180/25 = 7 maximum

minimum N = 120/25 = 4 minimum

the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?​

Answers

Answer:

equation: y=15x+95

it would cost $1250

Answer:

f(x) = 95 + 15x

Cost for 77 people = $1250

Step-by-step explanation:

15 x 77 = 1155

1155 + 95 = 1250

Solve this equation.

Answers

Answer:

1,220,703,125

Step-by-step explanation:

Honestly don't know how to explain this in any other way than just saying put it in a calculator. Sorry. :p

Answer:

1,220,703,125

Step-by-step explanation:

5^2=25

25^4=390,625

5^5=3,125

390,625 x 3,125= 1,220,703,125

PLS HELP THIS IS FOR A GRADE AN IS TIMED

Answers

Answer: 392

Step-by-step explanation:

a cylinder with a height of 6 km has a volume of 384 km, what is the radius?

Answers

Answer:

Step-by-step explanation:

V = π r^2 h so 384 = r^2 (6)

384/6 =  r^2 so

64 =  r^2

8 =  r

please can u give me this answer ☹️

Answers

Answer:

the second one

Step-by-step explanation:

Hello There!

The area of a triangle can be found using this formula

[tex]A = \frac{1}{2} (a+b)h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

top base = 9cm

bottom base = 14 cm

height = 12 cm

slant height = 13 cm

using this information, we plug in the values into the formula

So [tex]A = \frac{1}{2} (9+14)12[/tex]

the equation we created matches the 2nd equation therefore the second one is your answer

the second one is right

Baseball player wants to hit a baseball over the fence the fence is 25 feet tall baseball players 52 feet away from the fence at what angle must a baseball player hit the ball in order for it to go over the fence

Answers

Answer:

75 degree angle

heart if this helped :3

HELP ME PLEASE Graph the linear equation

Answers

Answer:

Hi! The answer is in the pictures!!

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

What is the total of club seats? If club seats are
8% of the total? and total is 5,000
please help!

Answers

Answer:

From what i've understood the answer is 400

Step-by-step explanation:

So, if you divide it your answer would be 62,500, and if you times it your answer would be 400.

I hope this helps you :)

someone please help me ​

Answers

Answer:

Ok it might take a bit but I'll help:))

Step-by-step explanation:

7x −28 solve for inequality

Answers

Answer:

7(x-4)

Step-by-step explanation:

You can use an Algebra calculator btw.

I’m about to spam questions if you can answer them please do .

Answers

Answer:

id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

90 plus 40 ,then you subtract it from 180

Find the length of the third side. If necessary, round to the nearest
tenth.
12
14

Answers

Answer:

7.2

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 +12^2 = 14^2

a^2 = 14^2 - 12^2

a^2 = 196 - 144

a^2 = 52

a =  square root of 52 = 7.2

Someone help me & extra points also brainlest!

Answers

Answer:

C: (2x-10)

Step-by-step explanation:

(4x - 3) - (2x + 7)

In -(2x+7), think of it as -1(2x+7) which is equal to:

-1*2x + -1*7 =

-2x - 7

Now we add this to 4x-3

4x - 3 - 2x - 7

Combining like terms gives us:

2x - 10

please help no links thank u :)

Answers

Answer:

question wdym by links?

Step-by-step explanation:

in a school the number of girls exceeds the number of boys by 15% find the ratio number of boys to number of girls

Answers

Answer:

20:3

Step-by-step explanation:

no.of boys /no.of girls =20:3

I need help with this pls I out 30 points

Answers

Answer:

Step-by-step explanation:

Age:            Frequency:

50-54          2

55-59          5

60-64          3

65-69          3


Help this is due in 2 minutes

Answers

Answer:

The percentage change each year is 2%

Step-by-step explanation:

Generally, we can have an exponential equation written as;

f(t) = I( 1 + r)^t

where f(t) is the value at a certain time

I is the initial value at t = 0

r is the growth rate

t is the time we are looking at

Thus, we have it that;

1.02 = 1 + r

r = 1.02 -1

r = 0.02

So, let us write 0.02 as a percentage

We have this as 2/100 which is the same as 2%

The percentage change each year is 2%

A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $8, and tickets cost $17.75 per person,
including tax. write an inequality representing p,
the number of people who can go to the amusement park.​

Answers

Answer: 17.75p + 8 ≤ 150    OR    p ≤ 8

Step-by-step explanation:

Is (0, 0) a solution to the equation y = 9x?

Answers

(0, 0) is a solution to the equation y = 9x

Given the equation y = 9x, we are to determine whether (0, 0) is a solution to the equation

To do that, we will substitute x = 0 into the expression and determine if the value of y is 0.

If x = 0

y = 9x

y = 9(0)

y = 0

Since the resulting value of y is zero, hence (0, 0) is a solution to the equation y = 9x

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EAR is rotated 180° about the origin.

plsss help

Answers

Answer:

rotating ΔEAR 180° inside the right angle parallelogram circumscribed by.

original coordinates:

A (-6, 4)

R (-2, 2)

E (-5, -6)

post rotation coordinates:

A (-2, -6)R (-6, -4)E (-3, 4)

That the wrong answer

Answers

Answer:

what's your question?

Step-by-step explanation:

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