Answer:
No invariant point
Step-by-step explanation:
Hello!
When we translate a form, in this case a polygon We must observe the direction of the vector. Since our vector is:

1) Let's apply that translation to this polygon, a square. Check it below:
2) The invariant points are the points that didn't change after the transformation, simply put the points that haven't changed.
Examining the graph, we can see that no, there is not an invariant point, after the translation. There is no common point that belongs to OABC and O'A'B'C' simultaneously. All points moved.
Answer:
See below ~
Step-by-step explanation:
⇒ 65 = 65 + y (alternate exterior angles)
⇒ y = 0
⇒ 4(12x + 1) + 15 = 180 - 65 - y (Linear angles)
⇒ 48x + 4 = 100 - 0
⇒ 48x = 96
⇒ x = 2
⇒ 3(7z + 6) + 5(5z + 1) = 115 (Both the angles are equal "alt. ext. angles")
⇒ 21z + 18 + 25z + 5 = 115
⇒ 46z + 23 = 115
⇒ 46z = 92
⇒ z = 2
Answer: 6/50
Step-by-step explanation:
The probability of choosing a horror movie or a comedy is 75%.
<h3>What are probabilities?</h3>
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
<h3>What is the
probability of choosing a
horror movie or a
comedy?</h3>
45% + 30% = 75%
To learn more about probability, please check: brainly.com/question/26321175
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 20: 1, 2, 4, 5, 10, 20
In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.