1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melisa1 [442]
2 years ago
13

Triangle ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of ang

le ADE is 36°. Triangle ABC with segment DE. Angle ADE measures 36 degrees. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 54°: Statement, Measure of angle ADE is 36 degrees, Reason, Given, and Statement, Measure of angle DAE is 90 degrees, Reason, Definition of right angle, leading to Statement 1 and Reason 2, which further leads to Statement, Measure of angle ECB is 54 degrees, Reason, Substitution Property. Statement, Segment DE joins the midpoints of segment AB and AC, Reason, Given, leading to Statement, Segment DE is parallel to segment BC, Reason, Midsegment theorem, which leads to Angle ECB is congruent to angle AED, Reason 3, which further leads to Statement, Measure of angle ECB is 54 degrees, Reason, Substitution Property. Which statement and reason can be used to fill in the numbered blank spaces?
Mathematics
1 answer:
Ugo [173]2 years ago
3 0

Answer:

1.Measure of angle AED is 54 degrees

2.Triangle Sum Theorem

3. Corresponding Angles Theorem.

Step-by-step explanation:

I got it right on my test. Good Luck!

You might be interested in
A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are
Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is (x,y).

To get it's coordinates, we use the section formula:

(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})

Where (m,n) is the (AB, BC)

Therefore we have

(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})

This gives:

(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})

-1 =( \frac{x + 6}{2} and 2 = \frac{y + 3}{2})

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

7 0
3 years ago
Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many pos
kenny6666 [7]

Answer:

Elimination (multiplication and subtraction)

There is 1 solution

Step-by-step explanation:

The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.

Your equations now are:

10x-5y=55 and 10x+6y=-22

You can subtract these equations to get -11y = 77.

Now that we know that y = -7, we can substitute y in to solve x.

10x-5(-7) = 55

10x=20

x=2

Final answer (2,-7)

3 0
3 years ago
Leo makes a cake by mixing flour, eggs and sugar in the ratio 5 : 3 : 2. If he uses 120 g of sugar, what weight of eggs will he
Verdich [7]

Answer:

180g of eggs

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How do I Factor -12 out of -24k + 120
Juli2301 [7.4K]

Answer:

-12(2k-10)

Step-by-step explanation:

You divide each term by -12, and then put -12 outside of the parenthesis. The parenthesis contain the new equation you just created.

4 0
2 years ago
Read 2 more answers
3 more than the product of 3 and y
Fudgin [204]

Answer:

3y+3

Step-by-step explanation:

pls give brainly

4 0
2 years ago
Other questions:
  • 3 (exponent 9) over 3 (exponent 5) equals? (its a fraction)
    8·1 answer
  • Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the ident
    8·1 answer
  • Please answer this question! Brainliest and 30 points!
    13·2 answers
  • Help pls! 10 points!
    11·2 answers
  • 4n+12=4 how to slove tow step equations​
    9·2 answers
  • Write an equation in point-slope form.
    8·1 answer
  • A man wants to take a goat, a bag of cabbage, and a wolf over to an island. His boat will only hold him and one animal or item.
    13·1 answer
  • Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Sh
    6·1 answer
  • -7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
    13·1 answer
  • CO
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!