Mathematics High School

Elena wants to prove that the measures of the 3 angles in a triangle always
sum to 180 degrees. She starts by using rigid motions to rotate triangle ABC
180° around 2 midpoints. Explain how Elena labeled her diagram and finish
her proof.
E
D
o
6
С
В
B

Elena Wants To Prove That The Measures Of The 3 Angles In A Triangle Alwayssum To 180 Degrees. She Starts

Answers

Answer 1

My best explanation to this question is:

Elena has summed the total of all three angles in the straight angle to get 180°; <DAB, <BAC , and <CAE. But this does not mean a total of three angles will ALWAYS equal 180°. If one angle is greater than the other two, then there is a possible chance the angle will not be 180°. If the angles are scalene, then there is a greater chance the angle may not be 180°.

This may be wrong, so you don’t have to come up with my response exactly, just modify it to what you need. Wish you luck.

Answer 2

The measures of the 3 angles in a triangle always sum to 180 degrees.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

We have to determine the prove that the measures of the 3 angles in a triangle always sum to 180 degrees.

We have been given that angles as

∠ DAB, ∠ BAC, and ∠ CAE.

Each 180-degree rotation takes line BC to a parallel line. So line DA is parallel to BC and line AE is also parallel to BC.

There is only one line parallel to BC that goes through point A, so lines DA and AE are the same lines.

Since line DE is parallel to line BC,

∵ alternate interior angles are congruent.

This represents that angle BAD also measures b" and angle CAE also measures c'. D

Since DE is a line, the 3 angle measures at point A would sum to 180 degrees.

So a + b + c = 180.

The fact that this explanation is dependent on the triangle we started with indicates that any triangle's sum of its three angles is always 180 degrees.

Therefore, the measures of the 3 angles in a triangle always sum to 180 degrees.

Learn more about the congruent triangles here:

brainly.com/question/4364353

#SPJ2

Related Questions

A parking lot has 88 parking spaces. Of those, 4 are reserved for disability parking, 48 are for full-size cars, and the remaining spaces are for compact cars. What is the ratio of compact spaces to full-size spaces?

Answers

The total parking space is 88. 4 are reserved which leaves us with 84. 48 of the remaining cars are for full size cars with a remaining of 36 cars that are compact cars. The ratio of compact to full size is 36:48 to simplify it divide by 3 on bot sides. You get a ratio of 3:4

What is the range of this function?
(16, -16)
(13, 16)
(8, 7)

Answers

Answer:

Domain: { 16, 13 , 8 }

Range: { −16, 16, 7 }

Step-by-step explanation:

The domain is the set of all the values of  x.

The range is the set of all the values of  y .

If 6x + 4 = 11x - 21, what is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

11x - 6x = 4 + 21

5x = 25 (÷5)

x = 5

X=5

Explanation: 6x + 4 = 11x - 21
1). Subtract 4 from both sides and you will get 6x = 11x -25.
2). Subtract 11x from both sides and you should get -5x = -25.
3). Divide the -5 with -25 to get x alone and you should get X=5!

Check your work:
6(5) + 4 = 34 & 11(5) - 21 = 34
34=34.

Help I am dying from this brain damage, give me detailed answer as well

Answers

Answer:

Step-by-step explanation:

speed of train=distance/time=243/4=60.75 miles per hour

speed of car=65 miles per hour.

car is moving faster than train.

15 points to help me graph this problem ( slope problem )

Answers

Answer:

When u said slope problom i thought u ment about the game  LOL

Step-by-step explanation:

3 1/8 +4 3/8 solve the question

Answers

Answer:

7 1/2

Step-by-step explanation:

Let's add the whole numbers first, 3 + 4 = 7

Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2

so answer is 7 1/2

7 1/2 ajanxnmxbxn mcbzmxnxkxncnxnxm

What is the probability of flipping at least 1 tail? As a fraction

Answers

Answer:50%

Step-by-step explanation:2 sides =100%/2=50

(-2) + 3 = ?
Your answer

Answers

Answer:

(-2)+3=1

negative two plus three =one

Can someone please answer this question for me??? I don’t understand!

Answers

Answer:

Beat#s 6 and 7

Step-by-step explanation:

at beat# 6 its 444.0 at beat# 7 its 392.0.

I have no idea where to start

Answers

Let me know if you want the answer, but what you need to do first is get the opposite angles.

They're on straight lines, so 180 minus that angle would equal the angle inside the triangle.

Then all inner angles if a triangle add up to 180° so 180 minus the two other angle would give you the final missing angle.

Do the straight line thing again and subtract 156 from it.

Solve for the indicated variable x/9 - g = a for x

Answers

Answer:

x =  9(a+g)

Step-by-step explanation:

x/9 - g = a

Add g to each side

x/9 - g+g = a+g

x/9 = a+g

Multiply each side by 9

x/9 * 9 = 9(a+g)

x =  9(a+g)

The expression sqrt 200 is equivalent to
A: 25 sqrt 8
B: 100 sqrt 2
C: 2 sqrt 10
D: 10 sqrt 2

Answers

You can break the 200 into sqrt 100*2. We can see the 100 has a perfect root, that’s 10. But the 2 does not. So take the 10 out and multiply it by the sqrt 2

Answer D

Answer: D

Step-by-step explanation: just took it

What is the probability of flipping at least 2 heads? As a Fraction

Answers

Answer:

81/100

Step-by-step explanation:

flipping a coin one, two, three or four times. 0.81 is the probability of getting 2 Heads in 5 tosses.

Which expression is equivalent to ac + bd? *
ac x bd
ca + db
ab + cd
(ac)^2

Answers

Answer:

the aswer is ca+ db

Step-by-step explanation:

Hope this helps leave a heart c:

Answer:

ab+cd

Step-by-step explanation:

I NEED HELP PLEASE HELP

Answers

I could help if i could but i also need help

The circumference of the Earth is approximately 40,000 km. If you made a circle of wire around the globe, that is only 10 meters (0.01 km) longer than the circumference of the globe, select ALL the creatures that could creep under the wire.

Group of answer choices

a. a flea

b. a mouse

c. a person

d. none of the above

Answers

The correct answer is none of the above

1. What is the area of the shape?
6cm
4cm
2cm
3cm

Answers

Hello,
I’m not sure how to answer your question because looks like you forgot to put an image of the shape your talking about.

In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of

Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One

member of the population is selected at random for a survey involving cell

phone carriers.


Find the probability that the selected subject is not male.

Answers

Answer: 0.23

Step-by-step explanation:

Given that:

Percentage population of males = 77% = 0.77

Hence,

Percentage that aren't male = ( 1 - 0.77) = 0.23

P(males) = 0.77

Hence,

P(non-males) = 1 - 0.77 = 0.23

is 128 is a perfect cube​

Answers

no it is not a perfect cube
No it’s not

Because 128=27

A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)

Answers

Answer:

Step-by-step explanation:

Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.

From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)

Next is to find the value of x from the equation

x+30 = 75

Subtract 30 from both sides of the equation;  

x+30-30 = 75-30

x = 75-30

x = 45

Hence the measure of angle x is 45°

Answer:

The answer is 45

Step-by-step explanation:

I got this on a test once and got it right

the ratio of 10m to 10 km is​

Answers

Answer:

10:10,000 is the answer to ur quation

Tia buys 7 packages of muffins. How many muffins does she buy?

A. 39

B. 40

C. 48

D. 56​

Answers

Answer:

Probably there are 56 muffins in total

Step-by-step explanation:

This is because based on the choices, the only number that 7 is a factor of is 56

That means there were 8 muffins in each package

Hope this helps!

Just tell me the coordinates

Answers

(-2, 4)
Hope this helps! If not I, truly sorry
(-2,4) should be the coordinates:)

helppp!!

Identify the slope of the following equation:
-4x + 3y = 3

Answers

Answer:

the answer is -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4x+3y=3

-4x/3=3-3y/3

x=1.5

Therefore the slope in 1.5

please help I will give brainiest 10 points​

Answers

Answer:

7.  it's a or c

8. no solution

9. no solution

Can you help me please!
Graph the Solution set for 3x<-15
​

Answers

Divide each term by
3 and simplify.

Inequality Form:
x < − 5

Interval Notation:
( − ∞, − 5 )

Answer:

Your answer is: If you solved this inequality you would have to solve the Inequality for x. So your answer would be x < -5, but your graph for that is below ↓

Step-by-step explanation:

Hope this helped : )

Which is the closest to 6.5x10-47
A. 0.065
B. 0.0065
C. 0.00065
D. 0.000065
E. 0.0000065

Answers

Answer:

Step-by-step explanation:

B

Evaluate the expression:
3(a + b - 3) - 212a + b - 4) when a = 2 and b = 1

Answers

Answer:

417

Step-by-step explanation:

3(2+1-3)-212*2+1-4=?

3-212*2+1-4=?

3-423+1-4=?

420+1-4=?

421-4=?

417

what is the base area of a pyramid with a volume of 72m^3 and a height of 12m solve for the base area

Answers

The area of a triangle can be found using the formula 1/2bh, where the variable b represents the value of the base and the variable h represents the value of the height.

7/4 as a whole number

Answers

1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified

Answer:

[tex] \frac{7}{4} is \: not \: a \:w hole \: number \: \\ it \: is \: a \: mixed \: number \: \\ we \: can \: simplify \: it \: in \: to \: 2 \frac{1}{4} \\ thank \: you[/tex]

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