For this exercise it is important to know that, in Dilations:
1. When the scale factor is greater than 1, the Image (the figure obtained after the transformation) is an enlargement.
2. When the scale factor is greater than 0 but less than 1, the Image is a reduction:
![0You know that the coordinates of the vertices of the polygon ABCD are:[tex]\begin{gathered} A(2,4) \\ B(-4,-8) \\ C(0,4) \\ D(12,-2) \end{gathered}](https://tex.z-dn.net/?f=0You%20know%20that%20the%20coordinates%20of%20the%20vertices%20of%20the%20polygon%20ABCD%20are%3A%5Btex%5D%5Cbegin%7Bgathered%7D%20A%282%2C4%29%20%5C%5C%20B%28-4%2C-8%29%20%5C%5C%20C%280%2C4%29%20%5C%5C%20D%2812%2C-2%29%20%5Cend%7Bgathered%7D)
And the scale factor is:
Since:
It is a reduction.
You can identify that the rule of this transformation is:
<span>The correct answer is that Inez will both water and trim her plants within the same day in 30 days, because the lowest common multiple of 2 and 15 is 30.</span>
3. Yes, the shapes are congruent, because all the corresponding sides are the same lengths.
The figure that isn't labeled with any letters was reflected across the X-axis at X =1
4)
JKL was rotated 180 degrees, then shifted 2 units to the left.
Answer:
the probability that Jack draws the blue ball is 0.38539
Step-by-step explanation:
Given the data in the question;
box contains
blue balls = 5
red balls = 8
Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement
Now,
on the first attempted;
⇒ ( 8/13) × ( 5/12) = 10/39
on the second attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143
on the third attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287
on the fourth attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287
so we add everything;
⇒ 10/39 + 14/143 + 35/1287 + 5/1287
= 0.38539
Therefore, the probability that Jack draws the blue ball is 0.38539
