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
mote1985 [20]
3 years ago
12

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving AC > EF

given BC = EF. Submit the entire proof to your instructor. Given: BC = EF Prove: AC > EF
(Will give brainliest)

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

<em>Answer:</em>

Complete proof is written below.

Facts and explanation about the segments shown in question :

  1. As BC = EF is a given statement in the question
  2. AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
  3. AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
  4. AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.

Below is the complete proof of the observation given in the question:

<em />

<em>STATEMENT                              REASON  </em>

___________________________________________________

1. BC = EF                                    1. Given

2. AB + BC = AC                         2. Betweenness

3. AC > BC                                   3. Def. of segment inequality

4. AC > EF                                   4. Def. of congruent segments

<em />

<em>Keywords: statement, length, reason, proof</em>

<em> Learn more about proof from brainly.com/question/13005321</em>

<em> #learnwithBrainly</em>

You might be interested in
During training, Janice kayaker 4. 68 miles on Monday and 5. 61 on Tuesday. How much further did kayak on Tuesday?
Wewaii [24]
Janice kayaked 0.93 of a mile further on Tuesday
4 0
3 years ago
Read 2 more answers
Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible
Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

pq =    \sqrt{( {x2 - x1)}^{2}  + ( {y2 - y1)}^{2} }

or \:  \sqrt{( {5  + 3)}^{2} + ( {2 - 2)}^{2}  }

By simplifying it we get,

8

Now,

again finding the distance between PR,

pr = \sqrt{( {x2 - x1}^{2}  + ( {y2 - y1)}^{2} }

or,

\sqrt{( {x + 3)}^{2}  + ( {y - 2)}^{2} }

By simplifying it we get,

=  \sqrt{ {x}^{2} +  {y}^{2} + 6x  -  4y + 13  }

now, finding the distance of QR,

qr =  \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2}  }

or, by simplification we get,

\sqrt{ {x}^{2} +  {y}^{2}  - 10x - 4y + 29 }

now, equating PR and QR,

\sqrt{ {x}^{2} +  {y}^{2}  + 6x  -  4y  + 13}  =  \sqrt{ {x}^{2}  +  {y}^{2} - 10x - 4y + 29 }

we cancelled the root ,

{x}^{2} +  {y}^{2} + 6x - 4y + 13 =  {x}^{2}   +  {y}^{2}   -10x - 4y + 29

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

\sqrt{ {x}^{2} +  {y}^{2}  + 6x - 4y + 13 }  =  8}

cancel the roots,

{x}^{2} +  {y}^{2}   + 6x - 4y + 13  = 8

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

<em>Hope it helps</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
True or False: If you roll a six-sided die ten times, you will roll an even number at least once.
Shtirlitz [24]

Answer:

true pls mark as brainliest

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The graph of the following system of equations is
eimsori [14]
The answer is <span>C. Intersecting lines</span>
3 0
3 years ago
Read 2 more answers
Write these expressions as simply as possible
harkovskaia [24]
So it is asking you to group like term so
x terms can be grouped/added/subtracted to other x terms, but not to x^2 or x^3 terms
x^2 terms to x^2 and so on so

1.  9-3k+5k=
9+(5k-3k)=
9+2k

2.  k^2+2k+4k=
k^2+(2k+4k)=
k^2+6k=
7 0
3 years ago
Read 2 more answers
Other questions:
  • Scores on an aptitude test are distributed with a mean of 220 and a standard deviation of 30. The shape of the distribution is u
    8·1 answer
  • Which graph shows a proportional relationship between x and y?
    13·1 answer
  • Please help!
    14·2 answers
  • 2.12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two
    12·2 answers
  • (-14) + (-7) = ?*<br> Your answer
    5·2 answers
  • Grace cut 3 pieces of ribbon; each piece was 2/5 of a foot long.How many feet of ribbon does she have in all?
    14·1 answer
  • Make an equation? help me out ​
    9·1 answer
  • Plsssssssssssssssssssssssss
    10·1 answer
  • I need some helpppppppppppppp
    12·2 answers
  • Solve for G. g+ (-5) = 27 <br> g=
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!