Answer:
Option (4)
Step-by-step explanation:
D = {x| x is a whole number}
D = {1, 2, 3, 4..........}
E = {x | x is a perfect square between 1 and 9}
E = {4}
F = {x | x is an even number greater than 2 and less than 9}
F = {2, 4, 6, 8}
(E ∩ F) = Set of common numbers of E and F
= {4}
D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)
= {4}
Therefore, Option (4) will be the answer.
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
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K=2
- A'=2(2.5)=(4,10)
- B'=2(1,2)=(2,4)
- C'=2(3,1)=(6,2)
Translation of 2 units left means change in x
- A''=(4-2,10)=(2,10)
- B"=(2-2,4)=(0,4)
- C"=(6-2,2)=(4,2)
Translation of 1 units up means change in y
- A'''=(2,10+1)=(2,11)
- B'''=(0,4+1)=(0,5)
- C'''=(4,2+1)=(4,3)
The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.
m∠E = m∠F
17x + 1 = 20x - 14
Subtract 20x from both sides.
-3x + 1 = -14
Subtract 1 from both sides.
-3x = -15
Divide both sides by -3.
x = 5
Substitute 5 for x in m∠F (20x - 14).
20(5) - 14 = 86
m∠F = 86°
That statement is true, since the ratios are equivalent, they are equal.
