Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC

Answers

Answer 1

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

Answer 2

Answer:

A) triangle ABC is congruent to triangle EDC

Step-by-step explanation:

The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Let's see what we have in this problem:

<ACB and <ECD are congruent since they are vertical angles.

<A and <E are congruent by given.

Sides AB and ED are non-included sides and are congruent.

Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.

Now we need the statement of congruence.

Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.

Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.

We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.

Answer: A) triangle ABC is congruent to triangle EDC

Related Questions

Subtract Rational Expression

SHOW STEPS

Answers

If you subtract everything from the left side do the same thing on the right side once you do the same thing for the both sides you will get this.

ANSWER THE QUESTION TO GET BRAINLEST AND POINTS

Answers

Answer: C and D

Step-by-step explanation:

Think about it a reflection is a mirror image of something. It would only make sense that c and d is the answer.

Hope this helps :)

Compare and contrast the methods you can use to
multiply a whole number and a decimal
(This is a general question)

Answers

Answer:

say for example you have 3.14 you multiply by 12.45 what would do?

Step-by-step explanation:

Answer:

say for example you have 3.14 you multiply by 12.45 what would do?

Step-by-step explanation:

hey can you please answer this question on 7th grade exponents? thank you! boo

Answers

I did this before and it’s b

Help me please il give 20 points!

Answers

Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5

2. Stem: Leaf:

1 9

2 5, 9

3 3, 3, 8

4 0, 7, 9

5 4, 5

6 1, 5

7 2, 7

8 1

3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

36 3/6 divided by 36 1/2

Answers

Answer:

Step-by-step explanation:

We have the same 36 so just eliminate them and we are left with 3/6 multiple by 2 and we have the final answer which is 1

Answer:

(1)

Step-by-step explanation:

Hope this helped:)

another math question

Answers

Answer: .50 cents

Step-by-step explanation:
We can model the function by subtracting one number over another. $9.70-9.20=.50$
This gives the additional charge per minute.

Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why?

Answers

Yes. This is because you take the two fractions and find a common denominator. The common denominator being 12 so then you have 39/12 and 8/12. If each scarf she makes is 8/12 yards of fabric she should have enough to make two scarves.

Please help me. All I get is decimal problems that aren't helping at all.

Answers

do 18/15

multiply the decimal answer by 24,348

then round it to the nearest one

i think it should be 29,218

29218 I think that’s the Answer

Help me ASAP please really quick it’s my last question

Find the area of this please

Answers

Answer:

A = (4.5)(2) + (1/2)(2)(4) = 9 + 4 = 13 ft.²

PLEASE HELP
Can someone please help, my teacher wants this done a certain way and I don't know how to do it.

Answers

This is how I did it.

Hey I hope this helps :)

The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents c as a function of a.
A- -3 0 2 5 10 12
C- -20 7 3 21 19 45

1. When a is "-3," is b or c greater?
2. When c is 21, what is the value of a? What is the value of b that goes with this value of a?
3.When a is 6, is b or c greater?
4.For what values of a do we know that c is greater than b?

Answers

Step-by-step explanation:

hope u liked my answer and my answer helped u

The equation and the tables represent two different functions. Use the equation b=4a-5 and the table

Which is the coefficient in the expression 7x + 14?

Answers

Answer:

coefficient is x

Step-by-step explanation:

please mark as brainliest and follow me !!!!.....

coefficient is a number that is before a letter so in this case 7 is the coefficient of x.

Hope this helps ya

The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots to dry. You spend 82 minutes washing and drying the pots. It takes 4 ½ minutes to clean a coffee pot. How many coffee pots are there? (you only need to put the number)

Answers

82 - 10= 72
72/4.5 = 16
16 coffee pots

Thier are 16 coffee pots

1.Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches.
Which measurement should be considered the actual height?
a. Clare's b. the doctors c. both d. neither
2.What was the error, expressed in inches?
3.What was the error, expressed as a percentage of the actual height?

Answers

Answer:2

Step-by-step explanation: Clare estimated but did not measure

the babysitter made $114 in 12 hrs how much did he make in 1 hr?

Answers

Answer:

$9.50

Step-by-step explanation:

114 divided by 12 is 9.5 so they make $9.50 an hour

Answer:

114 ÷ 12= 9.5

he made $9.50 in one hour for babysitting

Three research departments have 8 ,10 , and 7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?

Answers

We can conclude that exists 211680 ways.

How many ways can this be done?

We know that the three research department is have 8, 10, and 7 members.

We choose a delegate and an alternate to represent the department.

First case: department have 8 members.

So, for a delegate, we have 8 options, and for a alternate 7, so a total of

$8 \times 7 = 56 \ \text{options}$

Second case: department have 10 members.

So, for a delegate, we have 10 options, and for a alternate 9, so a total of

$10\times 9 =90 \ \text{options}$

Third case: department have 7 members.

So, for a delegate, we have 7 options, and for a alternate 6, so a total of

$7\times6 = 42 \ \text{options}$

Therefore, we get:

$56 \times 90 \times 42 = \bold{211680}$

Hence, we conclude that exists 211680 ways.

For a similar problem about this, please click the link below:

https://brainly.com/question/30958797

To determine the number of ways to select a delegate and an alternate from each department, we can multiply the number of choices for each department together.

For the first department with 8 members, there are 8 choices for selecting a delegate. After choosing a delegate, there remain 7 members, so there are 7 choices for selecting an alternate. Therefore, there are 8 × 7 = 56 ways to select a delegate and an alternate from the first department.

Similarly, for the second department with 10 members, there are 10 choices for selecting a delegate and 9 choices for selecting an alternate. Hence, there are 10 × 9 = 90 ways to select a delegate and an alternate from the second department.

For the third department with 7 members, there are 7 choices for selecting a delegate and 6 choices for selecting an alternate. Thus, there are 7 × 6 = 42 ways to select a delegate and an alternate from the third department.

To find the total number of ways to select delegates and alternates from all three departments, we multiply the number of choices for each department together:
56 × 90 × 42 = 211,680.

Therefore, there are 211,680 ways to select a delegate and an alternate from each department.

Show your work to back up your answer

Answers

sorry if I got it wrong but I hope it’s right

For Thanksgiving, Mario bought a 21.9 pound turkey, Rose bought a 21.147 pound turkey and Celia bought a 22.1 pound turkey. Who bought the smallest (lowest weight in pounds) turkey?

Answers

Answer:

Rose.

Step-by-step explanation:

21.147 may have the most numbers, but it is the smallest because there is a 1 in the tenths place

Rose is the answer she bought the lowest weight in pounds

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

Answers

Answer: 15in^2

Step-by-step explanation:

first you need to find the area of the rectangle, so you would multiply 7 and 3, which gives you 21, (A=L•W). So now you need to find the area of the triangles, the formula for that is A= 1/2 b•h, so you get 3in for the area of the triangle, but since there are two and they are the exact same triangle you would just combine them, so the area for both triangles is 6in, so then you would need to subtract the 6 from the 21 so that you can find the area of the shape, and your final answer would be 15in(squared). hopefully you understand

It’s 15in^2 hopefully this helps you

C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped farther than Michael but not as far as Kevin. Write a decimal to the thousandths that is greater than Michael's distance and less than Kevin's distance. Explain the reasoning you used.

pls help

Answers

Answer:

Micheal = Kevin - 334mm

Kevin > Ben > Micheal

so you add smthing less than 334mm to Micheal's distance that is not a negative number

The decimals' relation 6.649 < 6.721 < 6.983 represents the thousandths that is greater than Michael's distance and less than Kevin's distance.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin.

334 in decimal:

= 334/1000 = 0.334

Michael jumped = 6.983 – 0.334 = 6.649 meter

So the Ben jumped = 6.721 meter

6.649 < 6.721 < 6.983

Thus, the decimals' relation 6.649 < 6.721 < 6.983 represents the thousandths that is greater than Michael's distance and less than Kevin's distance.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

How many solutions exist for the system of equations given below?

3a + 4b = 20
12a = 80 − 16b

Select one:
A. One solution
B. Two solutions
C. Infinitely many solutions
D. No solutions

Answers

B, answer is Two solutions,

Answer:

Its B

Step-by-step explanation:

I had the question on edge not to long ago my answer got deleted and i dont know why

Seki, a professional bike racer, takes out a loan to buy her first high-end bike. The bike costs $seven thousand, five hundred, and the simple interest loan is for thirty months. She calculates that she will end up paying $seven hundred fifty in interest over the life of the loan.
.
What is the interest rate on Seki's loan?
The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences.

Interest Rate =
%

What is the total amount Seki will pay when the loan is due?

Balance = $

Answers

Answer: Seki's interest rate for the bike is 33.33% each year; Seki will owe $8250 at the end of the loan.

Step-by-step explanation:

To calculate the simple interest rate, the equation is: r = (1/t)(A/P - 1)

Where:

r - interest rate per year (in decimal format)

t -time (loan time in years)

A - total accrued amount (initial price paid + amount of interest paid)

P - principle (initial price paid)

For this scenario:

r = (1 / 30)(8250 / 7500 - 1)

- simplify both sets of parentheses: 1 / 30 and 8250 / 7500

r = (.033333)(1.1 - 1)

- simplify the second set of parentheses

r = (0.033333) x 0.1

- multiply

r = 0.0033333

- convert r (as a decimal) to R (as a percentage) by multiplying r x 100

R = .3333

The interest rate on Seki's loan is 33.33%

The total amount Seki will pay:

equation for total due: A = P + I

Where:

A - total accrued amount (initial price paid + amount of interest paid)

P - principle (initial price paid)

I - amount paid in interest that accrued over time

For this scenario:

A = 7500 + 750

A = 8250

Seki will pay $8250 when the loan is due.

Seki will pay $8,250 when the loan is do
Hope this helps

Please help me. X/6 ≥ 7. I also need to know how this would be graphed thank you.

Answers

Answer: The inequality solves to x ≥ 42

The graph is shown below

==================================================

Explanation:

We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7

To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42

The graph will involve a number line. Plot a closed filled in circle at 42 on the number line. Shade to the right. This visually represents any number that is 42 or larger. The endpoint 42 itself is included in the solution set.

Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.

Please help me. X/6 7. I also need to know how this would be graphed thank you.

Answer:

The inequality solves to x ≥ 42

The graph is shown below

==================================================

Step-by-step explanation:

We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7

To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42

Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.

Step-by-step explanation:

Thirty students were surveyed about the number of siblings they have. Their results were recorded and placed on a card face down.

Outcome Frequency
1 6
2 12
3 9
4 or more 3

Determine P(4 or more) when picking a random card.
10%
60%
80%
90%

Answers

Answer:

the answer is 10%

Step-by-step explanation:

The answer is 10% since there are 30 people that did the survey and 3 had 4 or more so therefore 3/30 =0.1 -> 10%

Please help!! Giving away 10 points 4 this‼️

Answers

Answer:

D) since -2 is to the left of 1, -2 < 1.

Step-by-step explanation:

The Answer is D)
U are welcome

2. The following triangle, ∆, has angle measures as shown.
Step 1: What is the value of x? Show your work. (2 pts.)
Step 2: What is the measure of angle C? Show your work. (2 pts.)
Angle A= 35 degrees
Angle B= 52 degrees
Angle C= 3(x+2) degrees

Answers

Answer:

x=29. Angle C= 93

Step-by-step explanation:

3(x+2)= 3x+6.

3x+6+52+35= 3x+93.

180-93=87.

87/3= 29. So that means x=29.

for proof you can do 3(29)+93 and you'll get 180.

For angle C; 3(29+2)= 3x31. 31x3= 93.

Angle C= 93 degrees.

Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a 1 is

Answers

Answer:

3/8

Step-by-step explanation:

There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.

There is 8 different choices 3 are ones hence you have a three in eighth chance of getting a one

help please/ no links if you send links i will report you

Answers

Answer:

Step-by-step explanation:

1:dang you got a lot of tabs open

2:charge your device

3:yo you need to put more info down you just send an image saying a thing with no explaination. and don't send links. so dont get upset when noone can answer your Q

4:im not trying to be mean

5:i hope you find your answer

Leila and Maria were at track tryouts. The track is 3/5 Kilometers around.
-Leila ran 3 laps in 7 minutes
-Maria ran 1 lap in 3 minutes
Who is the better runner? What advice would you give the coach to convince her? include evidence and show your work
An explanation would be great but if not, thats fines

Answers

7/3= 2.3 that means Leila ran 1 lap in 2.3 minutes which is faster than Maria’s time which is 3 minutes. Hope this helps!

I need that answer too

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