Answers
Answer:
To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.
The postulates are:
SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.
ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.
SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.
AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.
HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.
From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.
Related Questions
this is so confusing ngl
Answers
Answer:
The ornament is 1, the light is 4, the grinch is 12, the hat is 16, and the dog reindeer thing is 48
A principal of $6000 is invested in an account paying an annual rate of 5%. Find the amount in the account after 4 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 4 years if the account is compounded semiannually is $ nothing. (Round to the nearest cent.)
Answers
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.025)^8$[/tex]
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
which is bigger 1 2/7 or 1 1/5
Answers
Answer:
1 2/7 is bigger
Step-by-step explanation:
Match each word to its definition. 1. biased sample 3 sample where every member of the population has an equal chance of being selected 2. convenience sample 4 sample where members volunteer to take part 3. unbiased sample 6 members are selected from the different subgroups within a population 4. self-selected sample 5 sample members are selected through the use of a rule 5. stratified sample 2 sample where representatives are easily accessible 6. systematic sample 1 sample not representative of the entire population
Answers
Answer:
1. Unbiased sample.
2. Self-selected sample.
3. Stratified sample.
4. Systematic sample.
5. Convenience sample.
6. Biased sample.
Step-by-step explanation:
1. Unbiased sample: sample where every member of the population has an equal chance of being selected.
For example, a researcher randomly selecting a shopping mall and questioning the customers coming there.2. Self-selected sample: sample where members volunteer to take part.
For example, a researcher uploading a questionnaire online and then requesting for brainly members to take part.3. Stratified sample: members are selected from the different subgroups within a population.
For example, when a geographical region is stratified into subgroups by climate, habitat, soil type or elevation. A population grouped by males or females.4. Systematic sample: sample members are selected through the use of a rule.
For example, a researcher selecting the 10th house on a particular street.5. Convenience sample: sample where representatives are easily accessible.
For example, a researcher using a social media poll such as Twitter polls.6. Biased sample: sample not representative of the entire population.
For example, a researcher selecting only females when trying to determine the best cook in a class.Answer:
1. biased sample
5
members are selected from the different subgroups within a population
2. convenience sample
6
sample members are selected through the use of a rule
3. unbiased sample
2
sample where representatives are easily accessible
4. self-selected sample
3
sample where every member of the population has an equal chance of being selected
5. stratified sample
4
sample where members volunteer to take part
6. systematic sample
1
sample not representative of the entire population
Step-by-step explanation:
Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.
Answers
Answer:
8
Step-by-step explanation:
Y×2+3=19
19-3=16
16÷2=8
You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.
PLZ HELP ME
look at the picture above
Answers
b. To reflect it across the x axis you would need to change the coefficient and make it negative. In this case, it would be:
g(x)= -3(2)^x
If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP
Answers
The output is 9
What is the measure of BCD?
Enter your answer in the box.
the measure of BCD = [ ]
Answers
Answer: 77
Took the test :)
I don’t know if this correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!! PLEASE ANSWER !!!!!!!!!!!!!!
Answers
Step-by-step explanation:
the three angles =180
because they are supplementary angles
I hope this help
Find the area of a circle with radius = 12cm give your answer rounded to 3SF
Answers
Answer:
452.4
Step-by-step explanation:
area is given by πradius squared which gives answer as 452.389
Answer:
452.39 because you have to take the radius squared times pie or 3.14 to get the area so your answer would be 452.39
Step-by-step explanation:
Hope it helps
Ben is now 3 times as old as his brother Jerry. In 5 years, Ben will be twice as old as Jerry will be then. Find their present ages.
Answers
Answer:
30 I am a little confused
How could the statement "12 less than x" be written?
Answers
Answer:
The statment would be written as "12 - x".
Help asaaaaap please
Answers
Answer:
A. 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-5x - 1 ≤ -9
Step 2: Solve for x
Add 1 to both sides: -5x ≤ -8Divide -5 on both sides: x ≥ 8/5Here we see that any value x greater than or equal to 1.6 would work as a solution.
Therefore, our answer is A. 1, as it doesn't work as a solution.
. help needed please
Answers
Part 1: Explain what the following variables represent and how changing each one affects the monthly payment amount: P, i, and t.
Part 2: Explain how changing each variable (P, i, and t) affects the total cost of principal and interest over the life of the loan.
Answers
Answer:
Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.
What do you know about the following System of Equations?
y=3x + 4
y 3x + 9
The graph of the lines will have one come point of intersection
The graph of the lines will have no common point of intersection
The graph of the lines will have an infinite amount of points in common
The lines are the same
Answers
Answer:
graph have no common points of intersection
Step-by-step explanation:
since both slopes have a value of 3, the system of equations are two parallel lines.
parallel lines will never meet.
since the y intercepts (plug in 0 for x or look at the constant) are different, they are not the same line
if i have 50 assignments to do and 4 days to do ot how many assignments do i need to do a dwy to get them done on time
Answers
Answer:
12.5assignments
Step-by-step explanation:
50 assignments over 4 days
50/4
=12.5 assignments
Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)
Step-by-step explanation:
First one
11
12
23
1
Second one
11
12
23
1
Answers
Answer:
Step-by-step explanation:
AD is 11 and BC is 12. We know this because AD and BC are parallel, as well as AB and DC. This means all the right triangles are congruent. I hope you understand. Let me know if you need more explanation! Please mark brainliest if correct, too.
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?
A). -12
B). -1
C). 5
D). 7
Answers
Answer:
Option (B) is the correct answer.
Step-by-step explanation:
Let 'x' the starting point be
She walks down 2 flights to visit a friend.
so walking down means we need to add 2 units to the starting point x
[tex]x+2[/tex]
Then he walks up 3 flights to deliver a message to a neighbor.
now subtracting 3 units from (x+2)
[tex]x + 2 - 3 = -1[/tex]
x = -1 means now he is UP to 1 point where he started his flight.
Thus, he needs to walk down 1 more flight to reach her starting point
Thus, -1 is the number of flights Brandie must walk to get back to her starting point.
Therefore, option (B) is the correct answer.
3x+2(2x−1)=33
what is x?
Answers
Answer:
x = 5
Step-by-step explanation:
3x + 2(2x − 1)= 33
simplify
3x + 4x - 2 = 33
7x - 2 = 33
add 2 to both sides
7x - 2 + 2 = 33 + 2
7x = 35
divide both sides by 7
7x/7 = 35/7
x = 5
2+2 can anyone help me
Answers
Answer:
Yea sure I gotchu my dude
Step-by-step explanation:
so The answer was complicated to find but its................. (correction)
4!)
can u believe it! the people down below would understand.
Answer:
2+2=4
Step-by-step explanation:
If you have 2 cookies, and your mom turned crazy and gave you 2 more, then you have 4 in total.
Hope this helped!
Though if you mom actually did that, please report she may have gone crazy. lol
write 3/4 as a decimal. Use method 1
Answers
Answer:
0.75
Step-by-step explanation:
PLS help ASAP thank you
Answers
Answer: they are not similar
Step-by-step explanation:
there will no be no steps
yaaaa heree ya goo... good luck :D
Answers
Answer:
Honestly i dont even know
Step-by-step explanation:
craig went to the store yesterday. he bought a pack of ice cream for $0.98, bottle of soda for $1.19, and a lunchable for $4.89. How much money did he spend altogether? Show work don't forget label
Answers
Answer: $7.06
Step-by-step explanation:
$0.98 + $1.19 + $4.89 = $7.06
A 12 cm by 20 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional in size. The dimensions of several paintings are shown. Which paintings' dimensions are proportional to the original painting? Select all that apply. A. 1.5 cm by 2.5 cm B. 27 cm by 45 cm C. 9 cm by 15 cm D. 30 cm by 50 cm E. 6 cm by 14 cm
Answers
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
Henry saw 28 blue, 16 red and 24 white cars drive by his house in 1 hour. What percent of the cars were blue? (Round answer to the nearest percent)
A. 24%
B. 65%
C. 41%
D. 35%
Answers
Answer:
C
Step-by-step explanation:
The percentage is calculated as
% = [tex]\frac{blue}{total}[/tex] × 100%
Total number of cars = 28 + 16 + 24 = 68
number of blue cars = 28, then
% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )
need a quick answer please
Answers
Answer:
5
Step-by-step explanation:
Bababoey
Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Isosceles Right
Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.
Answer:
Isosceles Right
Step-by-step explanation:
Please help me please help!!
Answers
Answer:
(1) -27
Step-by-step explanation:
[tex]-2(-3)^2+3(-3)[/tex][tex]-2(9)+(-9)[/tex][tex]-18-9[/tex][tex]-27[/tex]