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frosja888 [35]
2 years ago
13

THIS IS DUE IN 10 MIN!!

Mathematics
1 answer:
AVprozaik [17]2 years ago
6 0
The discount is 50-14 = $36

% discount = (36/50)*100 = 72%
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In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving AC > EF
VARVARA [1.3K]

<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>

4 0
3 years ago
How do you write y=-4x^2-16x-14 in vertex form??
GREYUIT [131]

y= -4x² - 16x - 14


Take the coefficient of x² as the common factor

y = - 4(x² + 4x + 7/2)


Add (b/2)² to complete the square

y = - 4( x² + 4x + 2² - 2² + 7/2)


Complete the square

y = -4( (x + 2)² - 1/2)


Remove the bracket

y = -4(x + 2)² + 2


Answer: y = -4(x + 2)² + 2

8 0
3 years ago
Read 2 more answers
How can you decide which variable to solve for first when you are solving a linear system by substitution
Helen [10]
There are many factors, it is all a matter of preference, normally, you want to try to solve for the easiest one to get to
example

if y ou had

(x-3)^2+y=9
you would solve for y becuase it is less tricky

it is all a matter of preference
7 0
2 years ago
The length of a rectangle is increased by 20%. The width is decreased by 20%.
jenyasd209 [6]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
Suppose j varies jointly with g and v, and j=1 when g=6 and v=3.
Alex_Xolod [135]
"Joint variation<span>" means "directly, but with two or more variables". Thus, we write as follows:

j </span>α gv
<span>
We insert proportionality constant k, to change it to equality.

j = kgv

We solve k,

1 = k (4)(3)
k =1/12

j = gv/12
j = 8(11)/12
j = 22/3</span>
6 0
3 years ago
Read 2 more answers
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