The law of detachment is a set of three sentences, such that:
- Sentence 1 is a statement of the form If p, then q
- Sentence 2 is a statement of the form p
- Sentence 3 is a conclusion of the form q
Let's see which of the options follow the pattern indicated above:
Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.
Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.
Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Hence, option A and option D are examples of the Law of Detachment.
Answers: 1. C, 2. A, 3. A I think, not 100% sure but hope this helps :)
Answer:
no
Step-by-step explanation:
1 + 18 = 12 which is wrong
11 + 9 = 20 but the other one was wrong so it doesnt work for both
Answer:
His weekly exercise time goal is 168 minutes.
Step-by-step explanation:
This question can be solved using a rule of three.
42 minutes is 25% = 0.25 of the total
x minutes is 100% = 1 of the total.
Then
42 minutes - 0.25
x minutes - 1
His weekly exercise time goal is 168 minutes.
c.
x = 130° (exterior opposite angles)
y + x = 180° (linear pair of angles)
=> y + 130° = 180°
=> y = 180° - 130°
=> y = 50°
d.
z = 100° (corresponding angles)
a = 100° (corresponding angles)
x + 100° = 180° (linear pair of angles)
=> x = 180° - 100°
=> x = 80°
y = x (interior opposite angles)
=> y = 80°
b = y (corresponding angles)
=> b = 80°
g.
a = 112° (vertically opposite angles)
b = a (interior opposite angles)
=> b = 112°
x = 78° (vertically opposite angles)
x + y = 180° (interior angles on the same side of transversal)
=> 78° + y = 180°
=> y = 180° - 78°
=> y = 102°
h.
f = 120° (vertically opposite angles)
e = 105° (vertically opposite angles)
c = 120° (corresponding angles)
d = 105° (corresponding angles)
a + d = 180° (linear pair of angles)
=> a + 105° = 180°
=> a = 180° - 105°
=> a = 75°
b + c = 180° (linear pair of angles)
=> b + 120° = 180°
=> b = 180° - 120°
=> b = 60°