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
kupik [55]
3 years ago
5

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 angl

e ADE is 36°.
Triangle ABC with segment DE. Angle ADE measures 36 degrees.

The proof, with a missing reason, proves that the measure of angle ECB is 54°.


Statement Reason
m∠ADE = 36° Given
m∠DAE = 90° Definition of a right angle
m∠AED = 54° Triangle Sum Theorem
segment DE joins the midpoints of segment AB and segment AC Given
segment DE is parallel to segment BC ?
∠ECB ≅ ∠AED Corresponding angles are congruent
m∠ECB = 54° Substitution property


Which theorem can be used to fill in the missing reason?
A. Concurrency of Medians Theorem
B. Isosceles Triangle Theorem
C. Midsegment of a Triangle Theorem
D. Triangle Inequality Theorem
Mathematics
2 answers:
kotykmax [81]3 years ago
8 0

Answer:

C. Midsegment of a Triangle Theorem

Step-by-step explanation:

After you eliminate the nonsense choices, the answer remains.

A - concurrency of medians requires 2 or more medians. There are no medians in this problem

B - there is no indication the triangle is isosceles

C - the applicable choice (segment DE is a

"midsegment", hence parallel to BC)

D - has to do with measures of sides, which are not involved in this problem

iren2701 [21]3 years ago
5 0

9514 1404 393

Answer:

  C. Midsegment of a Triangle Theorem

Step-by-step explanation:

After you eliminate the nonsense choices, the answer remains.

A - concurrency of medians requires 2 or more medians. There are no medians in this problem

B - there is no indication the triangle is isosceles

C - the applicable choice (segment DE is a "midsegment", hence parallel to BC)

D - has to do with measures of sides, which are not involved in this problem

You might be interested in
a man buys a vehicle at a cost prize of R60 000 from Cape Town. He transported the vehicle from cape town to Gauteng province, w
nikitadnepr [17]

Answer:

R80625

Step-by-step explanation:

Total Cost : 60000 + 4500 = 64500

To make 25% profit: 64500 X 1.25 = 80625

8 0
3 years ago
Is 9.373 a repeating? is it rational?
kow [346]

Decimal numbers are repeating if the part after the decimal separator never ends, but has a cicle. For example, 14.020202020202.... is a repeating decimal number, because after the decimal separator you can see a pattern: 02 repeated indefinitely.

In your case, the part after the decimal separator is finite: there is no repeating part. Every number with a finite decimal part is rational. In your case, the number 9.373 can be written as the fraction

\dfrac{9373}{1000}

which proves that the number is rational.

7 0
3 years ago
A builder needs to tile a 7ft by 8ft room with the 1 fr square tiles. How many tiles will she need?
Leni [432]

Answer:

56 tiles

Step-by-step explanation:

Find the area of the room = 7 x 8 = 56 ft^{2}

To Find the tiles, divide the area of the room with the area of the tiles.

So, \frac{56}{1} = 56 tiles

6 0
4 years ago
Read 2 more answers
Given the system of linear equations. x=y+3 y=-4x-3 Part A: Solve the linear system of equations by graphing Part B: Use substit
Radda [10]

Answer:

see below

Step-by-step explanation:

x=y+3

Subtract 3 from each side

x-3 = y

y = x-3

y=-4x-3

We have both equations in slope intercept form

y = mx +b where m is the slope and b is the y intercept

graph is below

They both have the same y intercept so they intersect at (0,-3)

Substitution

x=y+3

y=-4x-3

Substitute the second equation into the first equation

x=y+3

x = -4x-3 +3

x = -4x

Add 4x to each side

5x =0

x=0

y = -4x-3

y = 0-3

y = -3

(0,-3)

Additon

x=y+3

Subtract y from each side

x-y = 3

y=-4x-3

Add 4x to each side

4x+y =-3

Add the equations together to eliminate y

x-y = 3

4x+y =-3

-----------------

5x +0y =0

5x = 0

x=0

Now solve for y

y = -4x-3

y = 0-3

y = -3

(0,-3)

3 0
3 years ago
Which set of line segments could create a right triangle? (4 points)
kolezko [41]

Answer:

5,13,18

Step-by-step explanation:

guessing

3 0
4 years ago
Read 2 more answers
Other questions:
  • Which expression has a product greater than 6?
    13·1 answer
  • Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $4 goes towards your
    13·2 answers
  • Help please!!!!!!!!!!
    10·1 answer
  • Aurelio can choose between 3 pairs of pants and 4 shirts .How many different outcomes are in the sample space
    11·2 answers
  • The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts
    8·1 answer
  • The ratio of Ali's mass to John's mass is 6:5. The ratio of John's muss
    13·1 answer
  • How to write 12 ten thousands, 8 thousands, 14 hundreds, 7 ones in standard form
    8·1 answer
  • The shortest path from a starting point to an endpoint, regardless of the path taken, is called the _____________.
    10·2 answers
  • GIVING BRAINIEST!!!! I NEED THE INEQUALITY SENTENCE FOR IT!!!
    13·1 answer
  • A six sided die is tossed. Determine the odds against rolling a four
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!