In geometry, there are several ways to prove that two triangles are congruent, which means that they have the same size and shape. Here are three common methods for proving triangle congruence SSS congruence, ASA congruence, and SAS congruence.
Side-Side-Side Congruence: If all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent. This can be written as:
If AB = DE, AC = DF, and BC = EF, then ∆ABC ≅ ∆DEF
Angle-Side-Angle (ASA) Congruence: If two angles and the side between them in one triangle are congruent to two angles and the side between them in another triangle, then the triangles are congruent. This can be written as:
If ∠A = ∠E, ∠B = ∠F, and AC = EF, then ∆ABC ≅ ∆DEF
Side-Angle-Side (SAS) Congruence: If two sides and the angle between them in one triangle are congruent to two sides and the angle between them in another triangle, then the triangles are congruent. This can be written as:
If AB = DE, ∠A = ∠E, and BC = EF, then ∆ABC ≅ ∆DEF
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Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.
Answer:
The answer is "0.500".
Step-by-step explanation:
The chance that round will be won, [tex]P (win) =0.8[/tex]
The likelihood of losing round by complementary law
[tex]P(loss) = 1 -P(win)\\\\[/tex]
[tex]=1-0.8\\\\=0.2\\\\[/tex]
Let X be the number of rounds to the first loss played.
Here, [tex]X \sim Geometric (p=0.2)[/tex]
The PMF of X is the following:
[tex]P(X=x)=p(1-p)^x\\\\[/tex]
[tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]
The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]
Markov's Inequality:
Suppose X is any random variable that has no negatives. So,
[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]
Find the upper bound of [tex]P (X \geq 10)[/tex]
[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]
[tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]
The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500
Select all relations that represent a function.
A.
{(–4, 3),(–2, 4),(0, 1),(–4, –1)}
B.
{(5, 7),(2, 7),(9, 7),(8, 0)}
C.
{(3, 11),(–4, 5),(3, –1),(0, 0)}
D.
{(8, 0),(1, 4),(9, 4),(7, 8)}
E.
{(–5, 4),(–4, 3),(–3, 2),(–2, 1)}
F.
{(0, 0),(–1, 3),(–1, –1),(0, 5)}
Answer:
Hi! The answer to your question is B, D, and E
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
D
Step-by-step explanation:
because the other answers do not have a function A,B,C,E, and f are not a function because the numbers are repeating in the same axis
At a state fair, every go-kart goes at most 40 mi/h.
1) Let s represent the speed of a go-kart.
Which inequality represents the situation?
A. 8 > (line underneath) 40
B. s < (line underneath) 40
C. s > 40
D. s < 40
Answer: s _< 40
Step-by-step explanation:
The correct inequality which represents the situation is,
⇒ s ≤ 40
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
At a state fair, every go-kart goes at most 40 mi/h.
Now, Let s represent the speed of a go-kart.
Hence, The correct inequality which represents the situation is,
⇒ s ≤ 40
Since, Symbol used for at most is, less than or equal to.
Thus, The correct inequality which represents the situation is,
⇒ s ≤ 40
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Susie is looking for butterflies in an area where: 15% of the butterflies are of type A 30% of the butterflies are of type B 55% of the butterflies are of type C Suppose that she spots two butterflies on her walk, and that the types of the two butterflies are independent from each other (perhaps because they are spotted in different locations). (a) What is the probability that the two butterflies she spots will both be type A butterflies
Answer:
the probability that the two butterflies she spots will both be type A butterflies is 0.0044
Step-by-step explanation:
The computation of the probability that the two butterflies she spots will both be type A butterflies is shown below:
= 1 ÷ Type A × 1 ÷ Type A
= 1 ÷ 15 × 1 ÷ 15
= 1 ÷ 225
= 0.0044
Hence, the probability that the two butterflies she spots will both be type A butterflies is 0.0044
how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units
Answer:
1 perfect right angle
Step-by-step explanation:
please mark this answer as brainlest
5. (5 points) You have a jar full of jelly beans. You will randomly pick 2 jelly beans without replacement.The probability that you choose 2 green jelly beans is 14/95 and the probability of drawing one green jelly been is 2/5 . what is the probability of picking a second green, given the first was green?
Answer:
7/19
Step-by-step explanation:
In order to find the probability that two events happen in a sequence you simply have to multiply the probability of each individual event together. Since the probability of the sequence is given to us as well as the probability of drawing the first green jelly bean, this means we need to divide the first probability by the probability of the sequence to get the probability of the second event. Basically, reversing the process. Dividing two fractions, we simply divide the numerators by each other and then the denominators by one another.
[tex]\frac{14 / 2}{95 / 5} = \frac{7}{19}[/tex]
Therefore, the probability of picking the second green jelly bean is 7/19
Can someone help me with this. Will Mark brainliest.
Answer:
false
Step-by-step explanation:
a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal
Find the value of x.
Answer:
4x+8x = 180 degrees, so x=15
Step-by-step explanation:
Answer:
sum of 4x and 8x is 180°
( straight line )
4x + 8x = 180°12x = 180°x = 15°PLSSSSSSSS HELPPPPPPPPPPPP IT WOULD MAKE ME SO HAPPY
Answer:
i think it is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the value of s in 7 = -10s - 3
Answer:
-1 = s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide each side by -10
10/-10 = -10s/-10
-1 = s
Jamal is a real estate agent who earns a 4.5% commission on her sales. If she sells a home worth $250,000, what is her commission?
A) $10,450
B) $11,250
C) $12,150
D) $12,850
Answer:
B 11,250
Step-by-step explanation:
Answer:
11,250
Step-by-step explanation:
Karen has a new job as a teacher's aide. Her annual salary is $26,210. What is her bi-weekly salary? Round your answer to the nearest cent.
Answer:
$1008.08
Step-by-step explanation:
biweekly is every 2 weeks
52/2 = 26
$26,210/26 = $1008.08
Please help ~ You will get 50 points ~ I will be reporting answers that send links, just want to get points, etc. ~ Angles ~ Math ~ Pictures ~ Multiple Choice
Answer:
28, x , 62, 156
Step-by-step explanation:
What is the answer to this one, answer it and no wrong answers.
Answer:
A
Step-by-step explanation:
Which of the following points lies on the graph of y=x^2-5?
Answer:
(-2,-1)
Step-by-step explanation:
The point (-2, -1) lies on the graph of y=x²-5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given function is y=x²-5
A relation is a function if it has only one y-value for each x-value.
We have to find the points which lies on the graph of y=x²-5
The graph is a parabola which has vertex of (0, -5)
Let us find few points of function
When x=-2, y=-1
When x=0, y=-5
when x=1, y=-4
when x=2, y=-1
when x=3, y=4
when x=4, y=11
when x=5, y=20
Hence, the point (-2, -1) lies on the graph of y=x²-5
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Jonathan's piggy bank contains 20 nickels, 30 quarters, and 50 one-dollar coins. He picks 20 coins from the bank at random; 12 of these coins are one-dollar coins. The theoretical probability of picking a one-dollar coin from the piggy bank before the draw is ---%, but the experimental probability, based on the draw, is ---%.
Answer:
First box is 50%
Second box is 60%
Step-by-step explanation:
Took the test and I got it right :)
The theoretical probability of picking a one-dollar coin from the piggy bank before the draw is 50%, But the experimental probability, based on the draw, is 60%
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Jonathan's piggy bank contains 20 nickels, 30 quarters, and 50 one-dollar coins.
He picks 20 coins from the bank at random; 12 of these coins are one-dollar coins.
The total number of one-dollar coins = 50
Total number of coins the piggy bank contains = 100
The theoretical probability of picking a one-dollar coin from the piggy bank before the draw = 50/100
= 1/2
But the experimental probability, based on the draw, is 60%.
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What is the length of side PQ in this figure?
A. 4
B. 14
C. Square root 52
D. Square root 161
Answer:
The answer is D. I believe
Answer:
its 52
Step-by-step explanation:
What is the slope of the line that passes through
the equation -6x - 4y = -5?
Select the ordered pair that is a solution to the function. (A point on the line.)?
A) 5
B) -5
C) -7
D) 7
Answer:
-7
Step-by-step explanation:
first you plug in f(3) in the x so -2(3)= -6
then -6 - 1 = -7
Can someone please give me a answers on page 409? For 6th grade made and its in chapter 10
Answer:
We would need to know what school you go to or what textbook you are using. I don't think you want to share any of that online
Step-by-step explanation:
Ashley is attending a hockey game that consists of 3 periods. If it is halfway through the third period right now, what fractional part of the game is left?
Answer:
[tex]\frac{1}{6}[/tex] of the game is left.
Step-by-step explanation:
A hockey game has 3 periods.
Now, it is halfway through two periods, which means that 2 + 0.5 = 2.5 periods have been played.
Amount remaining:
Total of 100% = 1, subtracted by the fraction played, which is 2.5 of 3 = 5 of 6. So
[tex]1 - \frac{2.5}{3} = 1 - \frac{5}{6} = \frac{6 - 5}{6} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] of the game is left.
Hiiii!
What's 100 X 1,000,000?
Just answer so that this doesn't get deleted, please.
Do any boys wanna talk on discord, remind, or pad let?
Any gender is fine as long as you are from the ages 13-17.
Answer:100000000
Step-by-step explanation:
I'll mark u brainiest if you answer it.
Answer:
Step-by-step explanation:
3
Which of the following is not used to classify biomes?
a.
weather patterns
b.
continent
c.
dominant plant life
d.
geographical terrain
Answer:it’s B on edge bro
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
continent
I'll give u a brainliest to answer this<3
Answer:
762
Step-by-step explanation:
At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?
Answer: 10 books
Step-by-step explanation:
Let the number of books bought be represented by x.
Let the number of dvds bought be represented by y.
The information given in the question can be formed into an equation as:
x + y = 18 ........ i
0.50x + 0.75y = 11 ....... ii
Multiply equation i by 0.75
Multiply equation ii by 1
0.75x + 0.75y = 13.50 ........ iii
0.50x + 0.75y = 11 ........ iv
Subtract iv from iii
0.25x = 2.50
x = 2.50/0.25
x = 10
Samuel bought 10 books
Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square?
Which critical thinking skill is based on logic and reason?
Answer:
the ability to objectively analyze information and draw a rational conclusion
Step-by-step explanation:
The critical thinking skill that is based on logic and reason is "Logical reasoning" or "Logical thinking."
Critical thinking is the process of actively and skillfully analyzing, evaluating, and synthesizing information to make reasoned judgments and decisions.
Among the various critical thinking skills, "Logical reasoning" plays a fundamental role in the process.
Logical reasoning involves using principles of logic and reason to assess arguments, statements, and evidence.
It aims to identify the validity and soundness of claims and draw logical conclusions based on available information.
Hence, logical reasoning is the critical thinking which is based on logic and reason.
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Cato's older brother took out a 4-year loan for $28,000 to buy a car If the simple interest rate was 8%, what will be the total cost he pays for the car, including interest?
Interest=$__
Total Price=$__
Please help me no links or files!!!!
Find the value of x. If necessary, write your answer in simplest radical form.
12
Answer:
x = 13Step-by-step explanation:
According to Pythagoras Theorem,
[tex]{(height)}^{2} + {(base)}^{2} = {(hypotenuse)}^{2} [/tex]
[tex] = > {12}^{2} + {5}^{2} = {x}^{2} [/tex]
[tex] = > {x}^{2} = 144 + 25[/tex]
[tex] = > {x}^{2} = 169[/tex]
[tex] = > x = \sqrt{169} [/tex]
=> x = 13 (Ans)
Answer: 73 will be your answer hope this helped
Step-by-step explanation: