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
Gre4nikov [31]
3 years ago
7

Give statements and reasons

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

A two column proof is presented as follows;

Statement {}                                     Reason

1. AB ║ DE, BD bisects AE        {}    Given

2. ∠BAE = ∠AED, ∠ABD = ∠BDA {} Alternate ∠s are equal

3.  \overline {AC} =  \overline {EC} ,  \overline {BC} =  \overline {CD} {} {}            By definition of bisection of line AE by BD

4. ΔABC ≅ ΔEDC  {}                         By SAA, rule of congruency

Step-by-step explanation:

Step 1. AB ║ DE, BD bisects AE        {}    Given

Step 2. ∠BAE , ∠AED, and ∠ABD, ∠BDA {} are pairs of alternate angles formed by the parallel lines, AB and DE and are therefore, equal

Step 3.  \overline {AC} =  \overline {EC} ,  \overline {BC} =  \overline {CD}  The bisection of line gives two lines of equal length. The bisection of AE by BD gives,  \overline {AC} and  \overline {EC} where \overline {AC} =  \overline {EC}

Similarly, the bisection of BD by AE gives, \overline {BC} and  \overline {CD}, where  \overline {BC} =  \overline {CD}

Step 4. ΔABC ≅ ΔEDC  {}  By the Side-Angle-Angle (SAA), rule of congruency, which states that two triangles having two angles and the corresponding non included sides of each triangle equal to the other, the two triangles are congruent.

You might be interested in
In 3 apples cost 48¢ , how many dozen apples can be bougth for $3.84?
Law Incorporation [45]

1 dozen = 12 apples.

3 apples cost 0.48, multiply that by 4 to get the price of 1 dozen.

0.48 x 4 = $1.92 per dozen.


Divide the total you can spend ( 3.84) by cost per dozen:


3.48 / 1.92 = 2


You can buy 2 dozen.

6 0
3 years ago
Read 2 more answers
-34x+6=-28<br> I need to learn how to solve for x
Dimas [21]

Answer:

x=1

Step-by-step explanation:

-34x+6=-28

       -6     -6

-34x=-34

-34     -34

x=1

Subtract 6 from both sides. on the left the 6 will be canceled out and on the right -28-6= -34

Than you divide -34 on both sides on the left the -34 will be canceled and on the right -34 divided bt-34 is positive 1. So x equals 1.

8 0
3 years ago
Read 2 more answers
Write the equation of a line in slope intercept for with a slope of -6/5 and a y-intercept of (0,3)
Anettt [7]

Answer:

y=-6/5x+3.

Step-by-step explanation:

rjjrmddujesk

6 0
2 years ago
What is the mode?<br> 0-0-2-1-3-2-1-0
exis [7]
The mode is 0 since it is the most frequent.
4 0
2 years ago
Read 2 more answers
PLS HELP ASAP if you could explain how to do this as well im really slow when it comes to math :/
morpeh [17]

Answer:f(x)= 3*1/k

8=3*1/k

K=3/8

When x=2

f(x)=2*3/8

f(x)=3/4

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Help!! please! Will mark Brainliest!
    9·1 answer
  • The _____ were victims of attempted genocide ?
    8·1 answer
  • Y=2/5x+2 how do you graph it on a graph
    12·1 answer
  • Get–around cab company charges $2.50 upon entry and $2 per mile. write the function that represents the cost c of a ride of m mi
    6·2 answers
  • Ramp 10 feet high and 32 long
    11·2 answers
  • If Simon has 3 shoes and he sells 1 how many does he have left?
    9·2 answers
  • Pls solve this and ill give u thanks
    9·1 answer
  • A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas
    15·1 answer
  • What is the value of the exponential expression below?
    5·1 answer
  • Find three consecutive odd integers whose sum is 13 more than twice the largest of the three integers.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!