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
Answers
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.
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
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
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.
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 .
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.
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
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
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
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
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
Can you help me please!
Graph the Solution set for 3x<-15
Answers
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 : )
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
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
Just tell me the coordinates
Answers
Hope this helps! If not I, truly sorry
I NEED HELP PLEASE HELP
Answers
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:
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)
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.
please help I will give brainiest 10 points
Answers
Answer:
7. it's a or c
8. no solution
9. no solution
(-2) + 3 = ?
Your answer
Answers
Answer:
(-2)+3=1
negative two plus three =one
7/4 as a whole number
Answers
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]
the ratio of 10m to 10 km is
Answers
Answer:
10:10,000 is the answer to ur quation
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
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!
1. What is the area of the shape?
6cm
4cm
2cm
3cm
Answers
I’m not sure how to answer your question because looks like you forgot to put an image of the shape your talking about.
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.
is 128 is a perfect cube
Answers
Because 128=27
The expression sqrt 200 is equivalent to
A: 25 sqrt 8
B: 100 sqrt 2
C: 2 sqrt 10
D: 10 sqrt 2
Answers
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.
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
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