Answer:
I think it is 6/7
Step-by-step explanation:
I am really bad at explaining but I'm not completely sure
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
Answer:
2y(7x + 4z)
Step-by-step explanation:
Consider the common factors of both terms
The gcf of 14 and 8 is 2
The gcf of xy and yz is y
Thus the gcf of both terms is 2y, thus
14xy + 8yz
= 2y(7x + 4z)
Answer:
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
Substitute in known values:
And subtract. Hence:
In conclusion, ∠ABC measures 34°.
The answer is 21 which comes from 7 * 3.
Draw the four points in a complex plane. From the drawing you can see that the lenght is 4i - (-3i) = 4i + 3i = 7i, and the width is 1 - (-2) = 1 + 2 = 3.
So, the area is 7 * 3 = 21.
