Answer:
Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set and M={7,8,9,10}. What is M'?
A. {1,2,3,4,5,6}
B. {1,2,3,4,5,6,7,8,9,10}
C. cannot be determined
D. {7,8,9,10}
My answer is D.
Step-by-step explanation:
M' means the complement of M.
M' will encompass all the elements in the universal set but NOT in the set M.
A) x * y = 48
B) x -y = 8
A) x = 48/y then substituting this into B)
B) 48/y -y = 8
B) 48 -y^2 = 8y
B) y^2 + 8y - 48 =0
x = 4 y = 12
12*4 = 48
12 -4 = 8
Answer:
10a: △ABC is an Equilateral triangle with all acute angles.
10b: △BCD is A scalene triangle with all acute angles.
10c: △BDE is An Isosceles triangle with one obtuse angle.
Step-by-step explanation:
10) Looking at the diagram at the bottom left;
- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.
Thus, we can classify it as; Equilateral triangle with all acute angles.
- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.
We can classify it as;
A scalene triangle with all acute angles
- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.
Thus, we can classify it as;
- An Isosceles triangle with one obtuse angle.
It's 3 because 4×3=12 add 2 and it equals 14