Unit 4: Congruent Triangles
bimo
Homework 5: Proving Triangles Congruent:
SSS & SAS

Answers

Answer 1

Answer:

SSS:

Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.

SAS:

Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.


Related Questions

Solve algebraically :)

Answers

Answer:

x > 4

Step-by-step explanation:

Answer:

should be x > 4

Step-by-step explanation:

(5,65) (7,71) slope

Answers

Answer:

3

Step-by-step explanation:

The slope formula is m=y2-y1/x2-x1

y2 is 71

y1 is 65

x2 is 7

x1 is 5

71-65 is 6

7-5 is 2

So the slope looks like this:

6/2

Simplify:

Which is 3

Hope this helps!

2x-32=12
means they spent how much

Answers

Answer:

22

Step-by-step explanation:

A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch

Answers

Answer:

we need 6 cups of cranberry juice for 12 gallons of punch

the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is​ (a) exactly six​, ​(b) at least six​, and​ (c) more than six. ​(a) P(exactly six​)= enter your response here ​(Round to four decimal places as​ needed.)

Answers

Using the Poisson distribution, it is found that the probabilities are:

a) 0.149

b) 0.6993

c) 0.5503

We are given only the mean, hence, the Poisson distribution is used.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].

Item a:

The probability is P(X = 6), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]

Item b:

This probability is:

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which:

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]

Item c:

This probability is:

[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:

[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]

A similar problem is given at https://brainly.com/question/16912674

–5(–2) = help me please ill give brainlist

Answers

Answer:

The answer is 10!

Step-by-step explanation:

sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Answers

Answer:

12/9+3 4/3 = 5 2/3 or 17/3

Step-by-step explanation:

Answer:

its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.

Step-by-step explanation:

Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether

Can you help me solve this please.

Answers

Answer:

23

Step-by-step explanation:

First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.

[LARGE RECTANGLE]

A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])

[SMALLER TRIANGLE]

A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])

[QUARTER CIRCLE]

A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex]  = 7 ([tex]units^{2}[/tex])

Josie calculated 1/5+2/7 and said the answer was 2/7 explain how you know that Josie's answer dose not make sense​

Answers

[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]

To mix weed killer with water correctly, it is necessary to mix 10 teaspoons of weed killer with 2 gallons of water. Find how many gallons of water are needed to mix with the entire box if it contains 20 teaspoons of weed killer.​

Answers

Answer: 4 gallons

Step-by-step explanation:

Three times eight M equals fourteen. Which of the following equations represents this statement?

Answers

Answer:

3x8m= 14 is the equation that matches the description.

Step-by-step explanation:

It is simply the number three, multiplied by eight with the variable m, and is equal to the number 14.

NO LINKS!!

y = |x + 4| - 1

Approximate when the function is positive, negative, increasing or decreasing.

Describe the end behavior of the function.

Function is positive:

Negative:

Increasing:

Decreasing:​

Answers

Step-by-step explanation:

Given function:

y = |x + 4| - 1

See the graph below

According to the graph we see that

The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)

Function is positive:

When x < - 5 and x > -3

Negative:

When x is between -5 and -3

Increasing:

When x > -4

Decreasing:​

When x < -4

tính cỡ mẫu cho một nghiên cứu điều tra xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung bình một đơn thuốc của nghiên cứu thử là 1,03. Nếu như người điều tra tin tưởng 95% rằng kết quả nghiên cứu của mình chỉ sai lệch so với quần thể là 10%

Answers

Answer:

xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung

Step-by-step explanation:

Due to the heightened demand for Clorox wipes, the company has marked up their prices by 20%. If they used to only cost $3.75, how much do they cost now?

A theme park ticket usually costs $154. Due to lower attendance rates, they have marked down their ticket costs by 18%. How much is the ticket cost now?

Answers

Answer:

hey there!

Step-by-step explanation:

FIRST QUESTION

3.75

10%= 0.375

20%= 0.75

3.75 + 75 = 4.50

$4.50

SECOND QUESTION

18/100 = X/154

X/154 = 18/100

X*154/154 = 18*154/100

X = 2772/100

X = 27.72

154- 27.72 = 126.28

$126.28


Find the value of x and y.
(In picture)

Answers

Answer:

x is 4, and y is 3

Step-by-step explanation:


3. Find the difference between the two expressions.
1x - 5y)-1(x + 2y)

Answers

Answer:

[tex]-7y[/tex]

Step-by-step explanation:

Our equation is:

[tex]\left(1x-5y\right)-1\left(x+2y\right)[/tex]

First we dritribute

Now we have, [tex]x-5y-x-2y[/tex]

[tex]Combine[/tex] light terms

and we get [tex]-7y[/tex]

what the estimated quotient for the following problem?
343.23 divdend by 18

Answers

Answer:

Step-by-step explanation:

17

343.23 /18 is 19.0683333333

so the closest number to that is 17, if not try 23!

A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)

Answers

Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

please help me
what is
28a+84b+92c=

Answers

The answer is 4(7a+21b+23c)
Combine like terms:
= 28b+84b+92c
=(28b+84b)+(92c)
=112b+92c

Answer = 112b+92c

f(x)=2x^2-3x+5 and g(x)=x-4,

find (f+g)(x)​

Answers

Answer:

2x^3-2x^2+x

Step-by-step explanation:

Just trust me!

I need some help it is to early for my brain to work

Answers

Answer:

5 minimum 32 maximum

Step-by-step explanation:

show your solution and answer the 4 questions.

Answers

Answer:

Step-by-step explanation:

1. When the number of kilograms of paper is doubled, the points will be doubled

2. 300÷ 5 = 60

They have to collect 60 Kg of papers to earn 300 points.

3) P = 5*n

P = 5n

4) We are not only reducing the waste, the collected paper can be reused  or can be sent to recycling centers.

33. Due to some error in a weighing scale, it shows the following reading when at rest (no weight is placed on it). Neerja measured her weight on this scale. The weight shown on the scale was 28 kg. What should she do to find out her correct weight?
(A) Add 2 kg to the weight shown. (B) Subtract 2 kg from the weight shown.
(C) Subtract 28 kg from the weight shown. (D) Add 4 kg to the weight shown

Answers

Answer:

The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A

PLEASE NEED THIS ASAP

Answers

Answer:

The answer is in the above attachment.

what is 3/4 divided by 11/20

Answers

Answer:

11/15

Step-by-step explanation:

11/20 / 3/4

11/20*4/3

44/60

22/30

11/15

Answer:

15/11

Step-by-step explanation:

3/4 divided by 11/20?

Reduce the expression, if possible, by canceling the common factors.

Exact Form: 15/11

decimal form: 1.36

mixed number form: 1 4/11

Can somebody give me an answer? ill give brainiest.

Answers

Answer:

The mystery divisor is 18

Step-by-step explanation:

In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.

Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.

A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)

Answers

The probability that exactly 6 are sedimentary is 0.00002

Probability is the likelihood or chance that an event will occur.

Given the total amount of rocks = 10 + 8 + 8 = 26 rocks

If there is a total of 8 sedimentary rocks, the total outcome will be expressed as:

26C8 = 26!/(26-8)!8!

26C8 = 1562275

If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;

8C6 = 8!/(8-6)!6!

8C6 = 28

Pr(exactly 6 are sedimentary ) = 28/1562275

Pr(exactly 6 are sedimentary ) = 0.000017922

Hence the probability that exactly 6 are sedimentary is 0.00002

Learn more on probability here: https://brainly.com/question/13604758

I NEED HELP special right triangle 45-45-90

Answers

Answer:

x=6

y=9

Step-by-step explanation:

X=6
Y=9 because you got to divide by the highest numerator

A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.

Answers

100, 95, 90, 85, 80, 0

Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30

Answers

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

Answer:

[tex]3(n+5)=-30[/tex]

Step-by-step explanation:

1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.

2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].

3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].

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