Answer with explanation:
m∠9=80°
m∠5=55°
⇒∠3+∠5=180°----[e║f, and these angles are on the same side of transversal c]
→∠3+55°=180°
→∠3=180° -55°
→∠3=125°
→∠3=∠2-----[Vertically Opposite Angles]
1→→∠2=125°-----[True]
2.→→∠3=55°-----[False]
3.→→∠5=∠8=55°-----[Vertically Opposite Angles]----[True]
4.→→m∠9=m∠12=80°
m∠12=100°-----[false]
5.→→∠12 +∠14=180°-----[Lines e and f are parallel, and d is a transversal.]
→→80°+∠14=180°
→→∠14=180°-80°
→→∠14=80°------[True]
6.→→∠14 +∠16=180°----[Interior Angles on the same side of transversal]
→100°+m∠16=180°
→m∠16=80°-----[True]
→→→1,3,5 and 6 are Correct.
B) (A' ∩ B')
C) (A ∪ B)
D) A' ∪ B'
The expression represents the union of not A and not B will be A' ∪ B'. Then the correct option is D.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression represents the union of not A and not B mathematically as,
A' ∪ B'
Then the correct option is D.
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The radius of the circle is 23 cm if the bicycle wheel has a diameter of 46 cm the answer is 23 cm.
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
A bicycle wheel has a diameter of 46 cm
The bicycle wheel is in the shape of a circle.
The diameter of the circle D = 46 cm
As we know, the diameter of the circle is double the radius or the radius of the circle is half the diameter.
r = D/2
Here, r is the radius of the circle
D is the diameter of the circle.
r = 46/2
Divide by 2 on the numerator and denominator.
r = 23 cm
Thus, the radius of the circle is 23 cm if the bicycle wheel has a diameter of 46 cm the answer is 23 cm.
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A.
–27
B.
27
The absolute value of -27 is 27.
The absolute value of a number is its distance from zero on the number line, regardless of whether the number is positive or negative.
In the case of -27, the absolute value is calculated by removing the negative sign, resulting in a positive value.
Therefore, the absolute value of -27 is 27.
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