Option D is the correct answer.
Answer:
D. ∠B and ∠C are congruent.
Step-by-step explanation:
Since, ∠A and ∠B are supplementary.
Therefore,
∠A + ∠B = 180°.....(1)
Since, ∠A and ∠C are supplementary.
Therefore,
∠A + ∠C = 180°.....(2)
From equations (1) & (2)
∠A + ∠B = ∠A + ∠C
=> ∠B = ∠C
Hence, ∠B and ∠C are congruent.
Answer:
See the argument below
Step-by-step explanation:
I will give the argument in symbolic form, using rules of inference.
First, let's conclude c.
(1)⇒a by simplification of conjunction
a⇒¬(¬a) by double negation
¬(¬a)∧(2)⇒¬(¬c) by Modus tollens
¬(¬c)⇒c by double negation
Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.
An alternative approach to De Morgan's law is the following:
By contradiction proof, assume h is true.
h⇒d∨h by addition
(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.
Answer:
D. 88
Step-by-step explanation:
if you add the given numbers up (equals 100) them subtract it from 540(the degrees of a Pentagon) you get 440. then divide that by 5 (number of xs left) you get 88. You can plug in 88 for x and check but I already did, I hope this helps you lemme know if it does :)
Answer:
'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.
Step-by-step explanation:
We are given that,
Distance between Earth and Jupiter = 5.9 × 10⁸ kilometers
Distance between Earth and Mercury = 7.7 × 10⁷ = 0.77 × 10⁸ kilometers
So, we see that,
5.9 × 10⁸ > 0.77 × 10⁸
Also, Ratio =
That is,
'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.