What theorem can be used to prove that the two triangles are congruent?

SAS
AAS
SSS
ASA

Answers

Answer 1

SSS is my best answer.

Answer 2

The SSS Triangle Congruency Postulate.

The two triangles have corresponding, congruent sides. Side QR corresponds to and is congruent to MN as denoted by the single hash mark. Sides QS and MP are corresponding and congruent sides as denoted by the three hash marks. Sides RS and NP are corresponding, congruent sides as denoted by the two hash marks. Therefore, as the SSS postulate states, if three sides in one triangle are corresponding, congruent sides to another triangle, the two triangles are congruent. In both triangles, the three corresponding sides are congruent; therefore, the triangles are congruent.

Related Questions

Julia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the
garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a
square. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden?

Answers

Answer:

36.75 square feet

Step-by-step explanation:

First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75

The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.

The garden is divided into 6 sections.

The dimensions of the garden are 3 sections long by 2 sections wide.

Each section is in the shape of a square.

The area of the vegetable garden is 73.5 square feet.

Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:

Total Area = Number of Sections × Area of One Section

73.5 = 6 × s²

Now, solve for the side length "s":

s² = 73.5 / 6

s² = 12.25

Taking the square root of both sides:

s = √12.25

s = 3.5 feet

Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:

Length = 3.5 feet/section ×3 sections = 10.5 feet

To know more about length here

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find the some of -3x^2-x-10 and 10x^2+x-10

Answers

Add likewise terms together (add the coefficients of x^2 together, same with just x, etc)

10x^2 – 3x^2 = 7x^2

1x – 1x = 0

– 10 – 10 = –20

So the answer is 7x^2 – 20.

Answer:

( X - 2 )(3x + 5) For 3x^2-x-10

Step-by-step explanation:

Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.

Answers

Answer:

the common factor in the given algebraic expressions: x(a-b), y (b-a)

Step-by-step explanation:

(x-y)(a-b)

how to rewrite 3/4 with the denominator 12

Answers

9/12
Multiply 4 by 3 and multiply 3 by 3 and you get 9/12

Help!
NO LINKS!!!

Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.
A. (-2, -4), (0, 0), (2, 4)
B. (-2, 4), (0, 0), (2, -4)
C. (-2, -4), (0, 0), (2, -4)
D. (-2, 4), (0, -2), (2, 4)

Answers

Answer:

hi this should be your answer (-2,4),(0,0),(2,-4)

Step-by-step explanation:

hope this helps!

Can you help me please

Answers

I think it’s 32? i dont know good luck

There are 36 boys for every 54 girls

Answers

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

let f(x)=x-3 and g(x)= 3x^2. perform the function operation and then find the domain of the result. (f-g)(x)

Answers

Answer:

(f-g)(x) = f(x) - g(x)

= x-3 - (3[tex]x^{2}[/tex])

= x- 3 - 3[tex]x^{2}[/tex]

domain is all real number

Step-by-step explanation:

(1)Pradnya had 5 dozen copies. She gave half of the copies to Anushka and 1/5 times of the copies to Prajwal. How many copies are remaining with her ?
(2) Shrikant bought a watch at Rs. 900. He gave equal number of notes of denomination Rs. 10, Rs. 20, Rs. 50 and Rs. 100. Find the number of notes of Rs. 20 that he gave to the shopkeeper.
(3) Mangalakaku purchased 6016 saplings of lemon. She planted 47 saplings in each row. How many rows will be formed of those saplings?

Answers

Explanation:

(i)Total number of copies are at Pradnya = 5 dozen

We know that 1 dozen = 12

⇛5×12 = 60

Given copies to Anushka = half of 60

⇛60/2 = 30 copies

Given copies to Prajwala = 1/5 the copies

⇛ (1/5)×60

⇛60/5

⇛12 copies

Total number of given copies = 30+12 = 42

Remaining copies = 60-42 = 18

Answer: Remaining copies = 18

(ii)Let the number of Rs. 10 notes be X

So given that

all are equal in number

So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X

Total number of notes

= X+X+X+X = 4X

Value of Rs. 10 = 10X

Value of Rs. 20 = 20X

Value of Rs. 50 = 50X

Value of Rs. 100 = 100X

Total amount = Rs. 900

⇛10X +20X +50X+100X = 900

⇛180X = 900

⇛X = 900/180

⇛X = 5

Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5

(iii) Let the number of rows be X

Number of saplings per each row = 47

Total number of saplings of X rows = 47X

According to the given problem,

Total number of saplings purchased by Mangalakaku = 6016

⇛47X = 6016

⇛X = 6016/47

⇛X = 128

Answer: Total number of rows = 128

(b) Part B
How many solutions does the following the system of equations have?

Answers

Answer:

Its C.

Step-by-step explanation

:Took the test

find the number of tiles in the 57th figure. justify your answer using an algebraic expression

Answers

3,365 tiles! the equation is always (x+1)^2 (squared) + 1 = Y. because y is the number of tiles and the x is whatever figure you’re on. but the figures start like #1 is a 2x2 instead of a 1x1 so 57th figure would not be 57x57 but 58x58. and then add 1 because there’s always that top left corner tile! if you appreciate my answer giving it brainliest is always appreciated!!

Given the points (4, 5) and (-2, 8), find the slope of the line that passes through the points.

Group of answer choices

9/6

-2/1

-1/2

1/2

Answers

Answer: c

Step-by-step explanation:

Formula of slope of line :

m=y2-y1/x2-x1

m=8-5/-2-4

=-3/6

m=-1/2

What is the solution set for x^2 - 2x - 15 = 0

A. {-5, -3}

B. {5, -3}

C. {3, 5}

D. {-3, 5}

Answers

Answer:

Step-by-step explanation:

I have done this before

Convert 112 degrees Fahrenheit to degrees Celsius

Answers

Equation

C = (F - 32) ÷ 1.8

Solution

C = (112 - 32) ÷ 1.8

=44.4 (44.4444444444)

Answer may vary depending on how your teacher wants you to do it and whether they want a exact answer.

One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.

Answers

Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.

A single gallon is equivalent to 3.875 liters.

If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:

= Gasoline in gallons x Number of liters per gallon

= 1.5 x 3.875

= 5.8125

= 5.8 liters

In conclusion, Mario bought 5.8 liters of gasoline.

Find out more at https://brainly.com/question/237650.

Answer the following question:
7/2h - 3 (5h - 7/2)

Answers

Answer:

For easy way

convert to decimals first

3.5h - 3 (5h - 3.5)

Open brackets

3.5h - 15h + 10.5

Answer = 10.5 - 11.5h

Find the ratio of the following is175and210

Answers

Answer:

5:6

Step-by-step explanation:

175/210

Divide both sides by 5

175/5 : 210/5

35 : 42

Divide both sides by 7

35/7 : 42/7

5 : 6

The ratio of 175 and 210 in its simplest form is; 5:6

What Is a ratio

A ratio is the simplest form to which the quotient of two numbers can be represented.

The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.

Their HCF is 35;

Hence, the ratio of 175 and 210 is ; 5:6

Answers

Answer:

b should be 2/11

c should be 2/11 as well

Step-by-step explanation:

Used The Graph info

total spins 11

both are 2over9

Step-by-step explanation:

9 results 2 only

what is 7 / 2/3 in simplest form

Answers

To do this we have to do 7 divided by 2/3

The first step to dividing fractions is to turn it into a mutipuacation sentence

7x2/3

Now we want to flip the second fraction over or make it a reciprocal

Our new equation is

7x 3/2 which is equal to 21/2

There are two ways. You may simplify it to 10 1/2 or just leave it as it is

hope this helped!! If you have questions, feel free to ask

Evaluate the expression. 5 x (-6 / -1 + -10)

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction

1.) First, we can rewrite this equation to make it easier to understand

5 x (-6 / -1 + - 10)

5(-6 / -1 - 10)

2.) Begin by dividing inside the parentheses

5(-6 / -1 - 10)

5(6 - 10)

3.) Solve

5(6 - 10)

5(-4)

-20

5(6 - 10)

5(6) 5(-10)

30 - 50

-20

Therefore, the expression equals -20.

PLEASE HELPPPP

4(x−2 1/4)=−3.7

Answers

First let’s convert the mixed numbers to improper fractions 2 1/4 =9/4
Then u get 4(X-9/4) =-3.7
Now your gonna divide both sides by four
4(X-9/4) over 4 = -3.7 over 4
4/4 =1 …X=-9/4
-3.7/4 = -0.925
Now you’re going to add 9/4 to each side
X-9/4+9/4=-0.925 +9/4
-9/4 + 9/4 =0 (X)
Now you have just -0.925 and nine fourths
I converted 9/4 —> 2.25
Then u still have -0.925
So add 2.25+-0.925 u get ur X which is 1.325 (this is ur answer)

X, y, z are each a different digit
a. Max(2x+3y+7z)=?

Answers

Answer:

101

Step-by-step explanation:

To get the largest weighted sum, you want to give the largest weight to the largest possible digit.

Max( ) = 7·9 +3·8 +2·7 = 63 +24 +14 = 101 . . . . (x, y, z) = (7, 8, 9)

The maximum sum is 101.

Classify the following triangle as acute, obtuse, or right.

Answers

D. None of these.

Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)

Option D . None of these is the correct answer.

The diagram shows a rectangle 15cm long and 13cm wide.It has been split into four smaller rectangles. write the area of each small rectangle on the diagram.

Answers

Answer:The Answer is in the explanationStep-by-step explanation:

length of the rectangle = 15 cmBreadth of the rectangle = 13 cmArea of the rectangle = length × breadthArea of the rectangle = length × breadth = 15cm × 13cm =

[tex]195 cm^{2}[/tex]

Area of each splited rectangles =

[tex] \frac{195cm{}^{2} }{4} [/tex]

[tex]48.75 {cm}^{2} [/tex]

!! PLEASE MARK ME THE BRAINLIEST!!

AND I'M REALLY VERY SORRY IF MY ANSWER IS WRONG

Find the value of x in the triangle shown below.

Answers

Answer:

u did a lot of this budy a lot of these

Step-by-step explanation:

Which set of ordered pairs represents a function?
a
O {(7,4), (3,8), (-4, –4), (0,4)}
O {(-8,0), (-5,6), (-8, 1), (-6,5)}
{(-5, 1), (3, -7), (2, -4), (2,7)}
O {(4,2), (4, -9), (-9, -6), (7,1)}

Answers

The first set
(7,4), (3,8), etc

PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between −10 and −4.
Enter the answer into the box

Answers

Answer:The distance between -9 and -4 is 6 units.Step-by-step explanation:

When we use the number line, we need to count forward from -10.

-9,-8,-7,-6,-5,-4Conclusion:

Therefore, the distance between -9 and -4 is 6 units.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Can someone help me with these 2 problems I’ve been stuck on them for a very long time :’) tysm!!

Answers

Answer:

Christmas How many pouds this proportion to solve

PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE

Answers

The answer is option 1.

The line has y-intercept of –3, meaning the line passes through the y axis at –3, to which only option 1 has the line passing through –3.

You can also see that the gradient of that line in option 1 is 1/2, using the rise/run method and can see that the line is positive as it moves in the / direction.

You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is

Answers

Answer:

1/4

Step-by-step explanation:

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What theorem can be used to prove that the two triangles are congruent? SAS AAS SSS ASA

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What theorem can be used to prove that the two triangles are congruent?

SAS
AAS
SSS
ASA