What are the 3 ways we can prove triangle congruence?

Answers

Answer 1

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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Related Questions

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?

Answers

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

What is the length of side PQ in this figure?

A. 4
B. 14
C. Square root 52
D. Square root 161

Answers

Answer:

The answer is D. I believe

Answer:

its 52

Step-by-step explanation:

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)}

Answers

Answer:

Hi! The answer to your question is B, D, and E

Step-by-step explanation:

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☆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

Which of the following is not used to classify biomes?
a.
weather patterns
b.
continent
c.
dominant plant life
d.
geographical terrain

Answers

Answer:it’s B on edge bro

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

continent

PLSSSSSSSS HELPPPPPPPPPPPP IT WOULD MAKE ME SO HAPPY

Answers

Answer:

i think it is  c

Step-by-step explanation:

Answer:

c

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.

Answers

Answer:

$1008.08

Step-by-step explanation:

biweekly is every 2 weeks

52/2 = 26

$26,210/26 = $1008.08

Which of the following points lies on the graph of y=x^2-5?

Answers

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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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.

Answers

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

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

Answers

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

I'll mark u brainiest if you answer it.​

Answers

Answer:

Step-by-step explanation:

3

Find the value of x. If necessary, write your answer in simplest radical form.
12

Answers

Answer:

x = 13

Step-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:

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?

Answers

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.

What is the answer to this one, answer it and no wrong answers.

Answers

Answer:

A

Step-by-step explanation:

Select the ordered pair that is a solution to the function. (A point on the line.)?

A) 5

B) -5

C) -7

D) 7

Answers

Answer:

-7

Step-by-step explanation:

first you plug in f(3) in the x so -2(3)= -6

then -6 - 1 = -7

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 ---%.

Answers

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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Can someone help me with this. Will Mark brainliest.

Answers

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

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

Answers

Answer:

28, x , 62, 156

Step-by-step explanation:

Find the value of x.


Answers

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°

What is the value of s in 7 = -10s - 3

Answers

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

Which critical thinking skill is based on logic and reason?

Answers

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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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

Answers

Answer:

B 11,250

Step-by-step explanation:

Answer:

11,250

Step-by-step explanation:

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? ​

Answers

To get the perimeter of a square you take it’s side length times 4. To get the perimeter of a rectangle you take 2 times it’s length and 2 times it’s width and add the product together. So the formula is for square is 4L = P
The formula for rectangle is 2L + 2W = P
If you know the perimeter of a square and rectangle are the same you can set the equations equal to each other.
So 2L + 2W = 4L and since you know the side measurements. You sub them in.
2(4x + 8) + 2(10) = 4(8x) and then solve for x

X = 3/2

What is the slope of the line that passes through
the equation -6x - 4y = -5?

Answers

Step-by-step explanation

-6x-4y=-5
We have to get here —> y=mx+b ,so
-4y=6x-5
-y=6/4x-5/4
-y=3/2x-5/4
y=-3/2x+5/4

And the slope = -3/2

The DrJocker

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!!!!​

Answers

It’s not on the link it’s a scam!

I'll give u a brainliest to answer this<3

Answers

Answer:

762

Step-by-step explanation:

........The answer is 762

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.

Answers

Answer:100000000

Step-by-step explanation:

Can someone please give me a answers on page 409? For 6th grade made and its in chapter 10

Answers

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:

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?

Answers

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

how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units

Answers

Answer:

1 perfect right angle

Step-by-step explanation:

please mark this answer as brainlest

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

Answers

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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