Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use



not enough information provided


yes; AAS Congruence Theorem


yes; SAS Congruence Theorem


yes; SSS Congruence Theorem

Decide Whether Enough Information Is Given To Prove That The Triangles Are Congruent. If So, State The

Answers

Answer 1

Answer:

Yes; AAS Congruence Theorem

Proof:

In [tex]\triangle ABC[/tex] and [tex]\triangle QRS[/tex]:

[tex]\angle BAC = \angle RQS[/tex] (given)

[tex]\angle ABC = \angle QRS[/tex] (given)

[tex]AC =QS[/tex] (given)

∴ [tex]\triangle ABC \cong \triangle QRS[/tex] (AAS)

There is enough information to prove that the two triangles are congruent through the AAS congruence theorem.

Hope this helps :)


Related Questions

A line passes through the points (-1, 4)
and (2,-2). What is the equation of this
line?

Answers

Answer:

Concept: Equation of Linear Systems

We will start by finding the slope with the equation y2-y1/x2-x1Hence: -2-4/2-(-1)= -2So we determined the slope to be -2 Now we need to find the y-intercept.Our standard equation is y=mx+b So -2=-2(2)+b b=2So our equation is y= -2x+2Give brainlist

Answer:

Slope =-3

Equation of a line

y-y1=m(x-x1))

y-4=-3(x+1)

y-4=-3x-6

y=-3x-6+4

y=-3x-2

Step-by-step explanation:

The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the windows and having them installed is 5323.50 of the o'briens pay 230.25 per window how many windows did they buy

Answers

Answer:

14

Step-by-step explanation:

Given that:

Cost of purchase and installation = 5323.50

Cost per window = 230.25

Cost of installation = 2100

Hence,

Total purchase cost of windows alone :

5323.50 - 2100 = 3,223.50

Therefore, the number of windows purchased is :

(Total purchase cost of windows alone / price per window)

(3,223.50 / 230.25)

= 14

Hence, 14 windows was purchased

what is the lowest term of 27/45

Answers

Answer:

3/5

Step-by-step explanation:

[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]

6 3/4 divided by 4 1/2

Answers

Answer:

1.5 (1 1/2)

Step-by-step explanation:

This is a method I personally like to use when you can change the fractions to decimals easily.

6 3/4= 6.75 (3/4= 0.75)

4 1/2= 4.5

6.75/4.5= 1.5

The result when the fraction  [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex] is [tex]1\frac{1}{2}[/tex].

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex].

Therefore, 27/4 is divided by 9/2 which is,

= (27/4)/(9/2).

= (27/4)×(2/9).

= 3/2 Or [tex]1\frac{1}{2}[/tex].

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?

Answers

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

Complete the statement
Isosceles triangle A ABC has congruent angles at B and C. If BC is bisected at D and AD is drawn, by the side, side, side triangle congruence postulate,
(1 point)
O AADB AADC
O AADBA AABC
Ο ΔΑΒCA ΔΑDC
O AADB ADCA

Answers

Answer:

∆ ADB = ∆ ADC

Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?

Answers

Hello!

[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]

-3(x - 14) + 9x = 6x + 42

Distribute the coefficient of the parenthesis:

-3(x) - 3(-14) + 9x = 6x + 42

-3x + 42 + 9x = 6x + 42

Combine like terms:

6x + 42 = 6x + 42

Both sides of the equation are the same, therefore:

There are infinitely many solutions.

AnswEr :

⠀⠀⠀⠀

Equation have Infinitely many Solutions

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

How to solve ?

⠀⠀⠀⠀

For solving such problems we need to recall equations .

⠀⠀⠀⠀

When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

SolutiOn :

➠ - 3 ( x - 14 ) + 9x = 6x + 42

➠ -3x + 42 + 9x = 6x + 42

Now, we will bring the variable on left hand side and constants on right hand side

➠ -3x + 9x - 6x = 42 - 42

➠ -9x + 9x = 42 - 42

➠ 0 = 42 - 42

➠ 0 = 0

As we can see the equation have end with a zero the equation have indefinitely many solutions

Indefinity many solutions

━━━━━━━━━━━━━━━━━

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Step-by-step explanation:

The sum of all angles in a triangle is always 180.

So we can set up an equation

3/2x+1/2x+x= 180

3/2+1/2x+2/2x=180

3x+1x+2x=360

6x=360

x=60

find the slope of the line passing through the following steps of points: (7,-4) and (-3,8)​

Answers

Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?

Answers

Answer:

$0.32, so a quarter a nickel and 2 pennies

Step-by-step explanation:

Answer:

$0.32

Step-by-step explanation:

First, add $1.29+$0.39 to get the total amount of the transaction.

$1.29+$0.39 = 1.68

Then, subtract that from the amount paid.

$2.00-$1.68

= $0.32

A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for $193.21 then what is their non-markup price?

Answers

Step-by-step explanation:

87% + 100% = 187%

187% of original price = $193.21

100% of original price = $193.21 * (100/187) = $103.32.

The non-markup price is $103.32.

Answer:

87% + 100% = 187%

187% of original price = $193.21

100% of original price = $193.21 * (100/187) = $103.32.

The non-markup price is $103.32.

Step-by-step explanation:

the dimensions in a rectangle are in the ratio 3:7. if the width is 18 cm, what is the length?

Answers

Answer:

42cm

Step-by-step explanation:

3:7

width:length

18cm width(7cm length/3cm width)=42cm length

what is 1 times 3 divided by 3 + 25 minus 3 times 100 minus 93 + 4

Answers

Answer:

2211

Step-by-step explanation:

1*3 = 3

3/3 = 1

1+25 = 26

26-3 = 23

23*100 = 2300

2300-93 = 2207

2207+4 = 2211

Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her.

Mrs. Li’s Student Test Scores
Student
Score compared to school average
Adam
+3
Bryan
0
Cierra
–4
Devaughn
+1
Elena
+5
Fionna
–2

Which list orders the students by lowest score to highest score?
Bryan, Cierra, Fionna, Devaughn, Adam, Elena
Cierra, Fionna, Bryan, Devaughn, Adam, Elena
Elena, Adam, Devaughn, Bryan, Fionna, Cierra
Bryan, Devaughn, Fionna, Adam, Cierra, Elena

Answers

Answer:a

Step-by-step explanation:

(NEED ASAP) 15 POINTS

Answers

Answer:

1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one

Step-by-step explanation:

hope this helped!

P.S. can i pls have brainlyist am trying to lv up thx! ;D

Which equation matches the graph ?
Please help!

Answers

Answer:

[tex]B. \: \: y = 3x - 2[/tex]

Step-by-step explanation:

I how this HELPS you!

(02.02 LC)
If f(x) = 3(x + 4), find f(2).


I NEED HELP IMMEDIATELY

Answers

Answer:

f(2) = 18

Step-by-step explanation:

f(2) = 3(2 + 4)

f(2) = 3(6)

f(2) = 18

.

This graph is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a function at all

Answers

Answer: C

Step-by-step explanation:

What is the distance from M(-1,6) to N(11, 1)?
C. 13 units
A. 12 units
B. V 149 units
D. 169 units
Please help me

Answers

Answer:

C. 13

Step-by-step explanation:

I hope u dont need work lol

Answer:

D. 169 units

Step-by-step explanation:

help me plssssssssssssss

Answers

Answer:

D

Step-by-step explanation:

3/4 × 2/6 = 1/4

3/4÷6/2=1/4

D is ur answer
explanation:

Leah had $24. She bought 7 sharpies and was left with $10. How much did each sharpie cost?

Answers

Answer: 2$ per sharpie

Step-by-step explanation:24 - 10= 14     7 x 2 =14

The number of students increased by 25% between last year and this year. Last year there were 280 students.​

Answers

Answer:

11.2

Step-by-step explanation:

My remainder is 8. My dividend is 80. I am a 1- digit number. What divisor am I?

Answers

Answer:

9 is the answer..

Step-by-step explanation:

pls mark me the brainliest

Answer:

The divisor is 9.

Step-by-step explanation:

a) Data and Calculations:

Remainder = 8

Dividend = 80

Number divided evenly without remainder 8 = 80 - 8 = 72

72/9 = 8

b)There are four main numbers under the divisional mathematical rule.  The first number is the dividend which is the number 80 that is being divided by the divisor.  The divisor (9) is the number that divides 80.  The quotient (8) is the result obtained by the division, while the remainder 8 is the number left over after the division.

The price of parking for 2 hours or less at the airport is increasing from $2.50 to $5.00. What is the percent that the price will increase?

Answers

Answer:

100%

Step-by-step explanation:

5 - 2.5 = 2.5, 2.5 / 2.5 = 1, 1 x 100 = 100% :D

10(y+3)-4y please help​

Answers

Answer:6y+30

Step-by-step explanation:

simplify the expression :)<3

Answer:

6y + 30

Explanation:

10(y + 3) - 4y

Expand 10(y + 3): 10y + 30

10y + 30 - 4y

Simplify

= 6y + 30

- PNW

Moises ate 10% of the candies in the bag. If Moises ate 16 candies, how many candies were there total in the bag?

Answers

Answer:

160

Step-by-step explanation:

10% of the candies is 16, and to get 100% from 10% is to multiply by 10.

So 10% *10 = 100%, then by association if 16 = 10%, then 16*10 will be the total 100%.


HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

it will be the first the 5th the 2nd and the 3rd

Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?

Answers

Answer:

she needs 6 containers.

Step-by-step explanation:

1 pound goes into each container. 6/1=6 so she needs 6 containers.

Consider the system of equations.

y = –2x + 4,

3y + x = –3

Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.

Answers

Answer:

C) The second equation converted to slope-intercept form is .y = negative one-third x minus 1

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

Consider the system of equations.

y = –2x + 4,

3y + x = –3

Which statement is true of this system of equations?

Both equations are in slope-intercept form.

The first equation converted to slope-intercept form is y + 2x = 4.

The second equation converted to slope-intercept form is .y = negative one-third x minus 1

Neither equation is in slope-intercept form.

is the discriminant of g positive, zero, or negative

Answers

Answer: negative

Step-by-step explanation:

the x values are negative

Answer:

negative

Step-by-step explanation:

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