Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
<h3><u>Step-by-step explanation:</u></h3>Let A denote the event of rolling a number less than 5 in a six-sided die.
Now, we know that the Total outcomes are: 6
since, the sample space is given as: {1,2,3,4,5,6}
Also Number of favorable outcomes are: 4
since the numbers which are less than 5 are {1,2,3,4}
Now we have to find:
where P denotes the probability of an event and denote the complement of event A.
We know that:
Now,
Hence,
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3