The side-side-side (SSS) theorem states that if three sides of one triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent.
In other words, if the lengths of the sides of two triangles are the same, then the triangles must be the same shape and size.
For example, consider two triangles ABC and DEF. If we know that
AB = DE, BC = EF, and AC = DF,we can use the SSS theorem to conclude that triangle ABC is congruent to triangle DEF.
It is important to note that the SSS theorem is only applicable if the three sides of each triangle are equal in length. If the sides are not equal, the theorem does not apply and we cannot use it to prove the congruence of the triangles.
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B) Three two-digit integers have a mean average of 16 and a range of 16. The median of the integers is 12. If all three integers are even and all are different to each other, what are the 3 numbers?
Answer:
The three numbers are 10,12 and 26
Step-by-step explanation:
For the average of the numbers to be 16; it means that the sum of all the numbers will be:
3 * 16 = 48
If the median is 12, it means the middle number is 12
For the range to be 16, the difference between the highest and smallest number is 16
if the lowest is x, then the highest will be (x + 16)
So, if we added these and 12, we get 48
Thus;
(x + 16) + x + 12 = 48
2x + 28 = 48
2x = 48-28
2x = 20
x = 20/2
x = 10
Then, the last number will be x + 16 = 10 + 16 = 26
So, the three numbers are 10,12 and 26
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Answer:
11% Increase
Step-by-step explanation:
11% increase. 182,040-164,000=18,040. 18,040=11% of 182,040
A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045
Answer:
0.079 would be the correct answer
Step-by-step explanation:
you just do 3/10 x 5/19 and then you get the answer
Matt drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the rest of the driving evenly between them.
If the entire trip is 128 miles, how many miles did Kaitlyn drive?
A group of friends sets a goal to live within their means by not letting their car payments exceed 10% Of their monthly income amounts. The table below shows the income and car payments of each person. Which friend is demonstrating financial responsibility to staying within the goal of not having a car payment that exceeds 10% of their monthly income?
Answer:
carlos
Step-by-step explanation:
Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
4+10=14
462/14=33
33x4=132
so your answer would be 132 ;)
brainleist
A tower that is 100 feet tall casts a shadow 125 feet long. Find the angle of elevation of the sun to the nearest degree.
Answer:
39 degrees
Step-by-step explanation:
tan^-1(100/125)
=39 degrees (cor. to the nearest degree)
Cara is playing a number game where she has two tiles for each number 0-9. A tile is chosen at random. List the possible outcomes for:
1. Choosing a two
2. Not choosing an even number
3. Choosing a number less than 4
thank you
Answer:
1. 2,2
2. 1,1,3,3,5,5,7,7,9,9
3. 0,0,1,1,2,2,3,3
Step-by-step explanation:
The possible outcomes are: 0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9.9
There are 20 possible outcomes
1. 2,2
2. There are 1,3,5,7,9 = 10 non even numbers
1,1,3,3,5,5,7,7,9,9
3. There are 0,1,2,3 = 8 numbers less than 4
0,0,1,1,2,2,3,3
The product of two consecutive odd integers is 323. What is the larger integer?
Answer:
19
Step-by-step explanation:
This is because since 19 is the larger odd number, 17 must be the smaller one, and 19 times 17 is 323.
Hope this helps! :)
daniel uses a 20.00 bill to purchase an item that costs d dollars. Write an equation to represent the amount of chnage c that he should receive?
Answer:
c= 20.00-d
Step-by-step explanation:
On the southeast corner of millennium park,there is a garden walk.it is marked off in red in the drawing below. Side C,the hypotenuse of the triangle,show the row along which flowers will be planted. If a side measures 90 feet and side b measures 120 feet how many feet of flowers will be planted along side C, the hypotenuse of the triangle? Show your work and explain your reasoning.
Answer:
150 ft
Step-by-step explanation:
Apply pythagorean theorem to find length of hypotenuse, side c:
Pythagorean theorem is given as:
c² = a² + b²
a = 90 ft
b = 120 ft
c = hypotenuse
Plug in the values
c² = 90² + 120²
c² = 22,500
Take the square root of both sides
c = √22,500
c = 150 ft
Find the exact value of tan A in simplest radical form.
Answer:
tan A = 6
Step-by-step explanation:
tan = opposite side/adjacent side
tan A = 6/1 = 6
The isosceles triangle shown has a base of 4 y + 2 and a perimeter of 6 y + 12 . Which expression represents the length of 1 of the triangle's legs?
Answer:
The expression that represents the length of 1 of the triangle's legs is y + 5
Step-by-step explanation:
An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by
P = l + l + b
i.e P = 2l + b
From the question, P = 6y + 12 and b = 4y +2
∴ 6y + 12 = 2l + 4y + 2
6y - 4y + 12 - 2 = 2l
2y + 10 = 2l
∴ 2l = 2y + 10
Then,
l = (2y+10)/2
l = y + 5
Hence, the expression that represents the length of 1 of the triangle's legs is y + 5
Can someone please help me with this question
Answer:
61
Step-by-step explanation:
This is a principle: if a quardrilateral is on the edge of a circle, the opposite two angles （diagonal sum) are 180.
What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of \angle 5?
Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
What are the degree and leading coefficient of the polynomial?
Find the volume of this right rectangular
prism.
3 in
9 in
3 in
[ ? Jin3
Answer:
81 inches
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the width × the height × the length.
So it would be 3×9×3 which equals to 81 inches
Answer: V = height*length*width = 3*3*9 = 81
Step-by-step explanation: 81
Daphne played 240 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another string of consecutive games, although this string was 40% shorter. How many consecutive games was that?
Answer:
144.
Step-by-step explanation:
40% shorter means she played 100 - 40 = 60% of the previous tall.
60% of 240
= 240 * 0.6
= 144 games.
What are the two types of observations?
Subjective Observation
Data Based Observation
Analysis Observation
Objective Observation
Answer:
data and analysis djdjdjhdhd
Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?
Pilar and Ramesh left a 20% tip after having dinner. The amount of the tip was $5. Pilar's dinner cost $15. Which equation can you use to find x, the cost of Ramesh's dinner?
Answer:
5x = 15?
Step-by-step explanation:
Find the percent increase. Round to the nearest percent.
From 96 books to 127 books
The percent increase is
%.
Answer:
24% i think i hope it the right answer
Step-by-step explanation:
SOMEONE HELP IM NEWE SORRY TYSM IF U DO<3333
Answer:
8/25 or 0.32
Step-by-step explanation:
I put € 7,000 in the bank. After a year, I had € 7,210 in my account. Was my account's annual interest rate?
Answer:
3%
Step-by-step explanation:
210 / 7000 x 100% = 3%
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Answer:
$50
Step-by-step explanation:
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Chole's meal cost
$40 + 5% × $40 + 20% × $40
= $40 + $2 + $8
= $50
I sincerely need help because I don’t understand. please write an equation and how to answer AT LEAST one question.
Guys, please help me with this question I'm having trouble in solving this
PLEAS HELP !! ASAP ! I’ll reward with brainliest !! PLEASE PLEASE HELP
Answer:
D. 2430
Step-by-step explanation:
Find the Average
100-90-80-89-75-0
No links please
Answer:
72.3
round from 72.3333333333333333333333333333333333333333333333
Step-by-step explanation:
Two numbers decomposed into prime factors are expressed as follows: 2³. 3. 5 is 2². 3².7 Indicate the number of prime factors Which represents the least common multiple of these numbers
Answer:
2³. 3². 5. 7
Step-by-step explanation:
Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.
Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7