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algol [13]
2 years ago
5

Triangle ABC was dilated and translated to form similar triangle A'B'C'.

Mathematics
2 answers:
Sergeu [11.5K]2 years ago
7 0

correct answer is 5/2

Hunter-Best [27]2 years ago
3 0
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

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The data shows the number of customers Joe's Diner served during lunchtime hours for the past 12 days. 22, 25, 50, 58, 28, 24, 2
timofeeve [1]

Answer:

Boxplot A

Step-by-step explanation:

Given the data:

22, 25, 50, 58, 28, 24, 25, 51, 43, 32, 49, 38

We should obtain the 5 number summary and check which boxplot correctly displays the information :

Reordered data : 22, 24, 25, 25, 28, 32, 38, 43, 49, 50, 51, 58

. Maximum = 58

Minimum = 22

Lower quartile : 1/4(n+1)th term

n = 12

1/4(13)th term = 3.25

(3rd + 4th) = (25 + 25) /2 = 25

Median :

1/2(13)th = 6.5th term

(32 + 38) /2 = 35

Upper quartile :

3/4(13)th term 9.75 term

(49 + 50) / 2

= 49.5

5 0
3 years ago
Hi! this question applies to #43
Anika [276]

When an absolute value is changed in the horizontal,  <em>the units in change are inside the "bars"</em>, and are as follows: <em>left = positive, right = negative</em>.

Therefore, the equation is y = | x - 6.5 |.

4 0
3 years ago
Could someone help!? I’ll try and give out brainliest!
ratelena [41]

Answer: What is the question that you need help with.

Step-by-step explanation:

7 0
2 years ago
I WILL GIVE BRAINLIEST AND ALL OF MY POINTS PLEASE I NEED THIS ASAP
kodGreya [7K]

Cross out out comes that should happen. The others are evidence based, the one you cross out was theory based

3 0
2 years ago
If x &gt; 2, find lx-2l<br><br> Help pleaseee
Lyrx [107]
<h3>Answer:  x-2</h3>

Explanation:

If x > 2, then x-2 > 0 after subtracting 2 from both sides.

Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.

For example, if we tried something like x = 5, then

  • x-2 = 5-2 = 3
  • |x-2| = |5-2| = |3| = 3

Both outcomes are 3. I'll let you try other x inputs.

So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.

In short, we just erase the absolute value bars.

8 0
2 years ago
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