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
photoshop1234 [79]
3 years ago
12

Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?

Mathematics
2 answers:
abruzzese [7]3 years ago
5 0

It is the first answer.

KonstantinChe [14]3 years ago
5 0

Answer:

Step-by-step explanation:

From the figure, it is given that AB≅ED, BC≅CD and ∠CAD≅∠CEB.

Now, from ΔACD and ΔECB, we have

Statements                                                      Reason

1. AB≅ED, BC≅CD                                           Given

2. ∠CAD≅∠CEB.                                              Given

3. AB=ED, BC=DC                     Definition of congruent segments

4. AB+BC=AC and                                Segment addition postulate

ED+DC=CE                          

5. ED+DC=AC and                                 Substitution property

ED+DC=CE

6. AC=CE                                                Substitution property

7. AC≅CE                                  Definition of congruent segments

8. ∠C≅∠C                                               Reflexive property

9. ΔACD≅ΔECB                           ASA rule of congruency

Hence proved.

Hence, option A is correct.

You might be interested in
I need help on this question <br> Factor by grouping.<br> 2u^3+3u^2+14u+21
Andru [333]
U^2(2u+3)+7(2u+3)

(u^2+7)(2u+3)
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B%204x%20%2B%206" id="TexFormula1" title="2x^{2} + 4x + 6" alt="2x^{2} + 4x +
JulijaS [17]
<h2>Answer:</h2><h2>2(x^2 + 2x + 3) or 2(x^{2} + 2x + 3).</h2><h2>~</h2><h3>To find the answer, simply factor 2 out of 2x^2+4x+6 to get your final answer, </h3><h3>2(x^2 + 2x + 3)</h3><h2>~</h2><h3>Thank you for taking the time to read this!</h3><h3><u>And I hope you have a good day, Loves!</u></h3><h3><em><u>Also if I'm right can you let me know, please?</u></em></h3>

<em><u>Also Also if I am right can I please have Brainliest??</u></em>

<u>You don't need to, I'm just glad I could help. ^^</u>

(If I did help-)

And don't forget to eat a full meal, and have at least one cup of water today!

3 0
3 years ago
Factored form of x^2-3x-4
kolbaska11 [484]
(x + 1) x (x - 4). When you check it you will get your original expression.
5 0
3 years ago
Read 2 more answers
A<br> Write the equation for<br> line that<br> passes through (1, 1) and (-1,7)
KengaRu [80]

Answer:y=-3x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,1) and (-1,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=1.

Also, let's call the second point you gave, (-1,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

-1 - 1

or...

m=

6

-2

or...

m=-3

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,1). When x of the line is 1, y of the line must be 1.

(-1,7). When x of the line is -1, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-3x+b. b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (-1,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,1). y=mx+b or 1=-3 × 1+b, or solving for b: b=1-(-3)(1). b=4.

(-1,7). y=mx+b or 7=-3 × -1+b, or solving for b: b=7-(-3)(-1). b=4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,1) and (-1,7)

is

y=-3x+4

8 0
3 years ago
Chocolate chunk cookies are 59 cents each or $6.00 a dozen. How much are do you save by buying the cookies by the dozen?​
kifflom [539]

Answer:

$5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What are four equivalent expression of 36-9
    13·1 answer
  • A college student needs 15 classes that are worth a total of 40 credits in order to complete her degree. The college offers both
    6·1 answer
  • Find the mean of the data set: 9 4 73 109
    12·2 answers
  • The following data represent scores on a pop quiz in a business statistics section. Suppose the data on quiz scores will be grou
    11·1 answer
  • A company did a quality check on all the packs of roasted almonds it manufactured. Each pack of roasted almonds is targeted to w
    11·2 answers
  • HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!
    6·1 answer
  • Please need help asap
    10·1 answer
  • Type a digit that makes the statement true. 762,78___ is divisible by 6
    14·1 answer
  • Allison measured her rectangular deck and found that it has dimensions of
    7·1 answer
  • The number of hamburger sales per week at a fast food restaurant is 350. The number of weekly sales goes down by 30. 0 hamburger
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!