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
pashok25 [27]
3 years ago
8

A conjecture and the paragraph proof used to prove the conjecture are shown.

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Observe the figure given.

Let us complete the given paragraph:

It is given that E is the midpoint of DF. So, DE \cong EF by the definition of midpoint.

As, midpoint divides the line segment into two equal halves.

Therefore, DE  =EF by the segment congruence postulate. DE+EF = DF by the segment addition postulate and so DE+DE = DF by substitution.

Segment Addition Postulate states that given 2 points P and Q, a third point S lies on the line segment PQ if and only if the distances between the points satisfy the equation PS + SQ = PQ.

Simplifying gives 2DE = DF.



You might be interested in
A store has a 40\%40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is \$36$36dolla
12345 [234]
Put it in an equation;
it is given that 36 is the price after the 40% discount, so;
36=X*40%
X here is the original price
36=X*(40/100)
40X=3600
X=90$
Hope this helps.
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20a%E2%88%923%282a%E2%88%924%29%3D27%5C%20%20%5Ctextless%20%5C%20br%20%2F%5C%20%20%5Ctextgrea
Naya [18.7K]

Answer:

what we have to do in this question? I mean what we have to find

3 0
3 years ago
Read 2 more answers
For all of the questions <br>with method <br>thankyou​
Dmitry_Shevchenko [17]

Answer:

(i) 7/10

(ii) 3/10

(iii) 1/5

(iv) Rs 40,000

Step-by-step explanation:

The fraction of the salary spent on food = 1/2

The fraction of the salary spent on rented house fee = 1/5

(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10

(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10

The fraction of the remainder spent for children's education = 1/3

The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10

(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5

(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000

Let <em>x</em> represent his whole salary, we have;

(1/5) × x = Rs 8,000

x = 5 × Rs 8,000 = Rs 40,000

His whole salary is Rs 40,000.

3 0
3 years ago
Fully explain the solution set to the equation below.<br> 1x = -1
Lady bird [3.3K]

Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

6 0
3 years ago
Ms. Callahan had 250 sheets of paper. She used 6 sheets of paper. She then gave each student 3 sheets of paper.
irina [24]
The answer would be D if it was 250-6-3n. it wouldnt be A or C because 9 isnt anywhere in the problem and it wouldnt be B because she used 6 peices of paper she didnt just give it to her students 
3 0
3 years ago
Other questions:
  • Round 18.194 to the place named
    8·1 answer
  • Which represents the solutions of the graphed system of equations, y=x^2-2x and y=-2x-1
    9·1 answer
  • A room has a floor area of 120 square feet and a height of 8 feet. What is the volume of the room?
    15·1 answer
  • The equation 3x = 12 can be rewritten as x = 12 ÷ 3. True or False
    11·2 answers
  • A car is purchase at $20000.The value of the car depreciates at 12.5% a year. What will the value of the car be to the nearest c
    5·1 answer
  • Determine whether the series -20 + 100 - 500 + ... is convergent or divergent.
    12·2 answers
  • What is f(5)?<br> Dhejdk
    5·1 answer
  • 5x+8y=62.9<br> x=4-y<br> please solve correctly using substitution
    10·2 answers
  • Decompose to find the product of 8 x 4.52.<br> 36.16<br> 32.56<br> 36<br> 32.16
    15·2 answers
  • Explain the difference between an inequality with OR and an inequality with AND.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!