Answer:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Step-by-step explanation:
We are given that,
ABC is transformed using glide reflection to map onto DEF.
Since, we know,
'Glide Reflection' is the transformation involving translation and reflection.
So, we can see that,
ABC can be mapped onto DEF by any of the following glide reflections:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Hence, any of the two glide reflection will map ABC onto DEF.
5.
the diagonal squared = base squared + altitude squared.
Combine like terms and use inverse operations
the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
