Congruent triangle proofs

Answers

Answer 1

Answer:

SSS (Side Side Side)

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

SAS (Side-Angle-Side)

A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.


Related Questions

Can you help me explain this answer please I need it really quick

Answers

It is reasonable because that’s not that much money I’d you think about it

How is counting by 100 and 1,000 like counting by 1 and 10?

Answers

Answer:

it just takes longer

Step-by-step explanation:

you count by 1 from 100 until 1000

Answer:

It just take more time.

Step-by-step explanation:

The more 0's the more you count

who wrote this quote "Without feelings of respect, what is there to distinguish men from beasts?" WILL MARK BRAINLIEST

Answers

Answer:

Confucius ( a Chinese philosopher)

Step-by-step explanation:

Answer:

Confucius wrote the quote

Step-by-step explanation:

Honestly I think he wrote it to get across a point that is- without the common  human respect for other people,we're all nothing but "animals", and people must be courteous to one another to get anything done no matter the situation.

where do i graph?
please send picture of your own for me to copy

Answers

Answer:

Step-by-step explanation:

Compound inequality has been given as,

12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6

By simplifying it further,

12(2x - 10) + 24 ≥ 48

[tex]\frac{12(2x - 10)}{12}+\frac{24}{12}\geq \frac{48}{12}[/tex]

(2x - 10) + 2 ≥ 4

(2x - 10) + 2 - 2 ≥ 4 - 2

2x - 10 ≥ 2

2x - 10 + 10 ≥ 2 + 10

2x ≥ 12

[tex]\frac{2x}{2}\geq \frac{12}{2}[/tex]

x ≥ 6

6x + 15 - 9x ≥ 6

(6x - 9x) + 15 ≥ 6

(-3x) + 15 ≥ 6

-3x + 15 - 15 ≥ 6 - 15

-3x ≥ -9

3x ≤ 9

x ≤ 3

We have to plot the inequality on a number line

x ≥ 6 Or x ≤ 3

PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ​ft, the liquid boils at 199.42°F. At an altitude of 4700 ​ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2500 ​ft?
Write an equation.
b=

Answers

Answer:

b=-0.0019a + 215

at 2500 ft, b=210.25 degrees F

Step-by-step explanation:

First find the slope. a=altitude, b = temperature

slope is b2-b1 / a2-a1

points are (8200, 199.42) and (4700, 206.07)

(206.07 - 199.42) / (4700-8200)

= 6.65/ -3500

= - 0.0019

we have b = -0.0019a + intercept

plug in a point to find intercept

199.42 = -0.0019*8200 + intercept

intercept = 199.42 + 15.58 = 215

b=-0.0019a + 215

at a=2500 ft, substitute into equation

b= -0.0019*2500 + 215

= -4.75 + 215

= 210.25 degrees F

please give thanks by clicking heart button :)

Skylar went on a road trip to New York. On the first day of her trip. she drove 656 miles in 8 hours. What unit rate did she travel in miles per hour?

Answers

656/8 = 82 mph hope this helps !

Select the correct location on the number line.
Sean had $45.50 in his account. He bought books worth $3 more than what he had in his account. Graph the point that represents the balance of Sean’s account.
15 points

Answers

Answer:

-3

Step-by-step explanation:

Please Help me I really need help

Answers

Answer:

2

Step-by-step explanation:

Please help answer the first 2 boxes for brainslt

> for brainslt

Answers

m- 2 b- 3 ... 2x+3 negative slope not sure if proportional or not
Answer:

1.
m=-3/2
b=3
Equation: -3/2x+3
Not sure what proportional is (I’m so srry)

And it will be a negative slope

2.
m= -2/5
b= 4
Equation is y= -2/5x+4
Again not sure what proportional means
It will be a negative slope as well

Step-by-step explanation:

Hope it helped!!

12. (03.03 MC) The equation below represents Function A and the graph represents Function B: Function A f(x) = 6x - 1 Function B 4 2 + 1 -2 1 -1 -2 -4 t -5​

Answers

Answer:

Ans : =  0

Step-by-step explanation:

Answer:

[tex]\textsf{Slope of Function A = 2 x Slope of Function B}[/tex]

Step-by-step explanation:

We know that Function A is given by:

[tex]f(x)=6x-1[/tex]

And we are given the graph of Function B.

And we are asked to compare the slopes of the two functions.

So, we will determine the slope of each.

For Function A, the slope is simply the coefficient of our independent variable x.

Since 6 is our coefficient, the slope of Function A is 6.

For Function B, we will utilize the slope formula, given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We will need any two points from our graph. Let’s use (0, 1) and (-1, -2).

So, we will let (0, 1) be (x₁, y₁) and (-1, -2) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{-2-1}{-1-0}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{-3}{-1}=3[/tex]

So, the slope of Function B is 3.

Therefore, the slope of Function A is twice the slope of function B.

So, we can write that:

[tex]\textsf{Slope of Function A = 2 x Slope of Function B}[/tex]

Mrs. Postler’s dinner costs $36.00. She wants to leave 20% tip. How much money should Mrs. Postler leave to cover her bill and tip?

Answers

Answer:

43.2

Step-by-step explanation:

so you would multiply 36 by .20 or .2 and you would get a answer so you add it to your original amount

which property is this example (1+2)+3=1+(2+3)

Answers

Answer

Associative property of addition

Step-by-step explanation:

SPARK in Dallas requires a school to send 2 adults for every 20 students who visit for a field trip. If a school send 13 adults, how many students can go
on the trip

Answers

130 would be one trip. if you divide 13 by 2 it is 6.5 and then multiply that by 20 you get 130. please mark me brainliest. have a great day and good luck with school:)

3 1/3 x 5? Tell me exactly how you got this answer like divide or multiply.

Answers

1. covert 3 1/3 to an improper fraction --> 10/3 --> 10/3 x 5
2. just multiply :) --> 10/3 x 5/1 --> 50/3
--> 16 2/3

Answer:

50/3

Step-by-step explanation:

3 1/3 MULTIPLY 3 times 3 plus 1 to to get the anwser in a fraction

get 10/3 and MULTIPLY by 5/1

multiply and get 50/3

That is it. Hope this helps.

:)

find x using the ratio of the sides 12 cm and 16cm​

Answers

Answer:

the ratio of the following x is 3/4

The lines represented by the equations 15y + 10x = -60 and y
- x – 5 are
neither parallel nor perpendicular
Submit Answer
parallel
perpendicular
the same line

Answers

Answer:

they are not the same line, nor are they parallel or perpendicular

Step-by-step explanation:

they are two distinct lines and intersect at (-5.4, -0.4) if graphed

If you put each equation into slope-intercept form you can compare slopes to determine if they are parallel (slopes would be the same) or perpendicular (slopes would be opposite signs and reciprocals)

give example of a monotone subsequence of the sequence Sn=cos(n.π/3)

Answers

A monotone subsequence is a subsequence that is either increasing or decreasing, which we define as follows:

A sequence (S) is increasing if [tex]S_n \geq S_m[/tex] whenever n>m.A sequence (S) is decreasing if [tex]S_n \leq S_m[/tex] whenever n>m.

Here, we can create a subsequence by taking every sixth term:

• When n = 6, [tex]S_n = \cos(6\pi /3) = \cos(2\pi) = 1[/tex]

• When n = 12, [tex]S_n = \cos(12 \pi /3) = \cos(4\pi) = 1[/tex],

and so on, and every such element will have a value of 1. This is a monotone subsequence.

Find the value of x. Then find the length of the segment or angle indicated.
8x-27 6x+1

Answers

Answer:

58

Step-by-step explanation:

some one pls help me with this fast

Answers

This is the answers

this is you're answer please thanks me

Mr. Dey took out Rs.5000 from his bank. He took 40 notes of 50 Rupees each and the remaining amount in 20 Rupees notes. How many 20 Rupees notes did he take? *

Answers

Answer:

150

Step-by-step explanation:

Start with Rs.5000.

40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000

Rs.5000 - Rs.2000 = Rs.3000

He took Rs.3000 in 20 Rupees notes.

Rs.3000/Rs.20 = 150

Answer: He took 150 20-Rupee notes

Answer:

150

Step-by-step explanation:

We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.

Which expression is equivalent to 6(2x + 4)

Answers

Answer:

12x+24

Step-by-step explanation:

by multiplying the number 6 into the term inside of the bracket gives 12x + 24


32 A bicycle seller found that if he sells
a bicycle for L.E. 1656 , his loss will be 8 %
Find the cost price of the bicycle and find
the selling price that makes him get a profit
of 12 %​

Answers

Answer:

L.E. 1,800L.E. 2,016

Step-by-step explanation:

1. Cost price of bike.

Let cost price be x;

x * (100% - 8%) = 1,656

0.92x = 1,656

x = 1,656/0.92

x = L.E. 1,800

2. Selling price for 12% profit;

= 1,800 * ( 1 + 12%)

= L.E. ‭2,016‬

PLEASE HELP QUICK! 20 POINts AND CORRECT

Answers

We can conclude that Collin will have £3691.41 in his account after 10 years.

Answer:

Collin will have  3691

Step-by-step explanation:

Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. The retail price of a particular smartphone and the number of units sold at that price

Answers

Answer:

no correlation

Step-by-step explanation:

The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.

Hence, there is no correlation between the two given variables.

Hence, no correlation would be the answer.

Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x 2) true?

Answers

Answer:

[tex]x = -56[/tex]

Step-by-step explanation:

Given

[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]

Required

Find x

[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]

Open brackets

[tex]0.75x + 15 = 2 + 0.5x - 1[/tex]

Collect Like Terms

[tex]0.75x - 0.5x = 2 - 1 - 15[/tex]

[tex]0.25x = -14[/tex]

Solve for x

[tex]x = -\frac{14}{0.25}[/tex]

[tex]x = -56[/tex]

The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.

Answers

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

You are getting a car wash for $45.50. You have to pay 5% sales tax and you want to tip the person who washed your car 20%. How much will you spend in total?

Answers

Answer:

$56.88

Step-by-step explanation:

amount paying for sales tax---> $2.28

amount paying for tip---> $9.1

amount paying for car wash---> $45.50

$2.28 + $9.1 + $45.50= $56.88

The money we will spend in total will be $56.875. iIt is the sum of all expenses

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

money to get the car washed= $45.50

the 5% of $45.50= (5 x 45.50)/100

                            = $2.275

The 20% of $45.50 for the tip= (20 x 45.50)/100

                             = $9.1

The total amount we will be the sum of all expenditures = the money for car wash + the money for sales tax + the money for tip

= 45.50 + 2.275 + 9.1

= 56.875

the total amount to be paid= $56.875

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ6

What is the solution to the equation 5 +b= 18? 1​

Answers

Answer:

13

Step-by-step explanation:

Take 18 minus 5 and the answer is 13.

Belle"s dad lend her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.

Answers

Answer:

You never said how much money belle's dad had in the first place there not enough information

Step-by-step explanation:

(10 + 15) - x

pls helpppppppppppp​

Answers

-0.25 don’t know but I try
Other Questions
A population of foxes inhabits a small forest. The size of the population is currently below the forest's carrying capacity for the foxes. Which factor could cause an increase in the population's growth rate? Find the slope of the line passing through the points (9, - 4) an(5,6) Which two excerpts appear toward the end of the plot structure of Jack London's "Up the Slide"?A. It stood to reason, Swanson said, that good, dry firewood could not be found so close to Dawson; that whatever firewood there was originally had long since been gathered in; that firewood would not be selling at forty dollars a cord if any man could go out and get a sled-load and be back in the time Clay expected to make it.B. He sat down and looked at the treacherous snow-covered slope. It was manifestly impossible for him to make it with a whole body, and he did not wish to arrive at the bottom shattered like the pine tree.C. But the descent was precipitate and dangerous in the uncertain moonlight, and he elected to go down the mountain by its gentler northern flank. In a couple of hours he reached the Yukon at the Siwash village, and took the river-trail back to where he had left the dogs. There he found Swanson, with a fire going, waiting for him to come down.D. Halting his dogs beneath, on the river ice, he looked up, and after some searching, rediscovered it. Being dead, its weatherbeaten gray so blended with the gray wall of rock that a thousand men could pass by and never notice it. Taking root in a cranny, it had grown up, exhausted its bit of soil, and perished. Beneath it the wall fell sheer for a hundred feet to the river.E. Clay ran his experienced eye over the timber, and estimated that it would chop up into fifty cords at least. Beyond, the gully closed in and became barren rock again. On every hand was barren rock, so the wonder was small that the trees had escaped the eyes of men. They were only to be discovered as he had discovered them by climbing after them. help please 10 pts and quick!can someone write me a short response hhhhhhhhhhheeeeeeelpppppppwill give brainliest How do eulas actions in paragraph 10 affect the storys resolution What are the measures of center? The scale of a map is 1 inch: 3 miles. Red Oak is 15 miles from Marsh City. What would its distance be on the map? PLEASE ANSWER ASAP!!! please help please I will count your answer brainiest if you help! In what ways are math and computer science similar? How are they different? Why is writing a strong thesis statement such an important part of writing a strong persuasive essay? Can anyone please tell me what I did wrong and why the answer I put was wrong, and why the answer that is correct, right? Giving Brainliest, PLEASE help! Who are the major characters in the story? In 75 to 100 words, identify the major characters and explain whyyou believe these characters can be groupedtogether. Use any types of characterization you have learnedabout. Be sure to use details from the story to support your answer.The story is called A childish miracle- Lemonande is made by dissolving sugar and lemon juice and water. Water is made up of atmos of hydrogen and oxgen which stament is correct based on the giving information How can it be argued that women in Sparta were treated fairly? g 2018: US Bond A is issued at par with annual coupon of 2% and maturity of 5 years with face value of $1,000. 2019: Interest rates increase in the market 2020: US Bond B is issued at par today with annual coupon of 5% and a maturity of 3 years with face value of $1,000.What should the price of Bond A be today, 2020, with 3 years left to maturity, so that its yield to maturity is equal to the yield to maturity on Bond B The element copper with a relative atomic mass of 63.55 contains atoms of mass numbers 63 and 65. Calculate the fraction of each isotope. work out 140-3^2(8+4)+62 can anyone answer this with expanation? Kathleen and Antonio hung out at the mall on Saturday. They spent 1 hour and 15 minutes shopping for clothes and 1 hour and 30 minutes at the food court. Then they spent 2 hours at the video arcade before heading home. If it was 11:00 A.M. when Kathleen and Antonio started shopping for clothes, what time was it when they left the mall?Please help me fast!!!!! What is the y-intercept of the functiion f(x)=-2/9x+1/3 O-2/9 O-1/3 O1/3 O2/9