The SSS (side-side-side), SAS (side-angle-side) and AAS (angle-angle-side) are basic congruence criteria to prove the congruency of two triangles.
Congruence postulate:Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal.
The basic terms of the agreement are as follows.
SSS Consensus CriteriaSAS Consensus CriteriaAAS Consensus CriteriaASA Consensus CriteriaAAA Consensus CriteriaRHS Consensus CriteriaNow, let's talk about SSS, SAS, and AAS basic Congruence Criteria.
SSS Congruence Criteria:
SSS Criterion stands for Side-Side-Side Criterion. According to this criterion, two triangles are congruent if three sides of one triangle are equal to the corresponding sides of the other triangle.
SAS Congruence Criteria :
SAS Criterion stands for Side-Angle-Side Criterion. By this criterion, two triangles are congruent if his two sides and included angles of one triangle are equal to the corresponding sides and included angles of the other triangle.
AAS Congruence Criteria:
AAS Criterion stands for Angle-Angle-Side Criterion. According to the AAS criterion, two triangles are congruent if any two angles and excluded sides of one triangle are equal to the corresponding angles and excluded sides of the other triangle.
To learn more about Congrauance postulates refer :
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A small car has a tire with a 13-inch diameter. A truck has a tire with a 29-inch diameter. How much farther than the car does the truck have to drive for its tire to complete one revolution?
Answer:
50.27in
Step-by-step explanation:
Given data
Diameter of small tire= 13in
Radius= 13/2= 6.5in
Circumference= 2πr
C= 2*3.142*6.5
C= 40.85 in
Diameter of Big tire= 29in
Radius= 29/2= 14.5in
Circumference= 2πr
C= 2*3.142*14.5
C= 91.118in
Hence the difference in distance between the two tires after on revolution is
=91.118-40.85
=50.27in
8. Evaluate the expression (ab)^2 for a = 4 and b = 3.
what percent of 19.7 is 24
Answer:
82.083333333333%
Step-by-step explanation:
What is the constant of proportionality between y and x in the graph? (WILL MARK BRAINLIST IF RIGHT!)
Answer:
2
Step-by-step explanation:
4 can be divided by 2 & 2 can be divided by 2
Describe the relationship between complex and real numbers. Include a
comparison between algebraic and complex arithmetic operations (addition,
subtraction, multiplication, and division).
Answer:
Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:
Step-by-step explanation:
1+2i is an example of a complex number.
3a - 4b is an example of a real number.
Does anyone know what is the measure for these need help on this
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The money keeps on decreasing as the days go. As you can see, the dots on the scatter plot keep on getting lower and lower.
Can I get brainliest plzz?
COULD SOMEONE PLEASE HELP ME WITH THIS IT'S REALLY IMPORTANT-
Answer:
b i think
Step-by-step explanation:
The Johnson family is taking a road trip that is 575 miles long. On the first day,
they drove 2/5 of the miles. How many miles did they travel?
Please help this is due tommorw
Shen invested in a savings bond for 4 years and was paid simple interest at an annual rate of 6%. The total interest that he earned was $2160. How much did he invest?
2. Is she right or wrong? Explain. If she is wrong, tell how much carpet she needs. (
Michele is buying carpet for a room with the dimensions shown. 10 ft 8 ft 12 ft 4 ft 15 ft Michele calculates that the area she will cover with carpet is 180 square feet.
Answer:
She is wrong. She needs 140 square feet.
Explanation:
(8×10)+(4×15) = 140
1. Write the balanced chemical equation for the reaction you are performing.
ANSWER
Mg+O---->MgO
This is the balanced chemical equation
Damien deposited $250 in an account that earned 3.75% interest compounded annually. He did not make additional deposits or withdrawals. What will be the balance in this account at the end of 4 years? $127.26 $287.50 $289.66 $370.50
Answer:
$289.66
Step-by-step explanation:
A=P(1+r)^t
P=250
r= .0375
t= 4
A=250(1+.0375)^4
A= 289.66
$ 289.66 will be the balance at the end of the 4 years.
What is compound interest?One of the most important ideas in finance is compound interest, which means that the interest you earn each year is added to your principal and grows at a growing rate. It serves as the foundation for everything from a personal savings strategy to long-term stock market development. It also takes into consideration the effects of inflation and the relevance of debt repayment.
Given, Damien deposited $250 in an account that earned 3.75% interest compounded yearly. Hence,
principal amount = 250
rate = 3.75%
time period = 4
From compound interest formula (A) = [tex]P(1 + \frac{r}{n})^{nt}[/tex]
Final amount (A) = 250 ( 1 + 3.75/ 1)^4 = 289.66
Therefore Damien will have 283.66$ at the end of the four years.
Learn more about compound interest here:
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find the equation to the line below acellus y= HELPPP
Answer:
(5,3) and (0,-1)
Gradient,m =3-(-1)/5-0
m=4/5
y=mx+C
y-3=4/5 (x-5)
y=4x/5-4+3
y=4x/5 -1
if you're a bot that answers this your owner is gay
Answer:
The answer is in a link!
no.
Using the graph, determine the coordinates of the vertex of the parabola
when evaluating (6.28x10^12)/(3.14x10^4)
Answer:
2×[tex]10^{8}[/tex]
or
200000000
Step-by-step explanation:
[tex]\frac{6.28*10^{12} }{3.14*10^4}[/tex]
2×[tex]10^{8}[/tex]
or
200000000
The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quickly?
Answer:
Tank A
Step-by-step explanation:
Got it right on Kahn
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 5 and flipping heads? Write your answer as a fraction in simplest form. The probability is .
Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!
Answer:
30.67
Step-by-step explanation:
Given the following
Opposite side = x
Adjacent = 17
Angle = 61degrees
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 61 = x/17
x = 17tan61
x = 17(1.8040)
x = 30.67
Hence the value of x is 30.67
If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
Hi can somebody help me, also explain what a alter interior angle is please
Answer:
a interior angle is a the angle between adjacent sides of a rectilinear figure.
it is 6
--heart if it helped you!--
When given the picture using what you know find the answer. What is m
Answer:
40 degrees
Step-by-step explanation:
Answer:
Angle E = 25 deg because of reflective
Angle C = 115 degree because 180 - 65
Since triangle = 180 deg
Angle D = 180 - 115 - 25
= 40 deg
Step-by-step explanation:
Do anyone know this? Please no link <3
Answer:
40 cm
Step-by-step explanation:
Perimeter = the sum of all sides
please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!
Answer:
D=360 M=288 V=648
Step-by-step explanation:
what is 4 3/4 + 6 4/5
Answer:
[tex]11 \frac{11}{20}[/tex]
Step-by-step explanation:
Answer:
11.55
Step-by-step explanation:
help help help help
Answer:
15π cubic units
Step-by-step explanation:
the formula for the volume of a cone is:
V = (base area x height) / 3
In this case we have
(5π x 9)/3 = 15π cubic units
Answer:
235.5 Cubic Units
Step-by-step explanation:
V=1/3B*H
=1/3(π5^2)9
=1/3(3.14*25)9
=3(3.14*25)
=75*3.14=235.5 Cubic Units
match the equations to the solutions
Answer:
A3
B4
C6
D5
E2
F7
G1
Step-by-step explanation:
I matched the letter to number :)
The retangular prism shows is made from cubs.Each cube is 1 cubic unit. What is the volume in cubic units
Answer:
72 square units
Step-by-step explanation:
To get these, we will use the attached diagram as a case study
Since each cube is 1cubic unit, hence the length of the side of a cube is 1unit
From the diagram
Length = 6units
Width = 3 units
Height = 4units
Volume of the prism = Length * Width * Height
Volume of the prism = 6 * 3 * 4
Volume of the prism = 18 * 4
Volume of the prism = 72 sq.units
Hence the volume of the prism is 72 square units
The circumference of a circle is 20.724 yards. What is the circle's diameter?
Answer:
approximately 6.6 yards :)
Step-by-step explanation:
Answer:
6.6
Step-by-step explanation:
take pi as 3.14
formula for circumfurence is 2*pi*r
so 2r=20.724/pi
2r=6.6
since diameter is 2 radius, the diameter is 6.6