Answer:
See deduction below
Step-by-step explanation:
I will use the known inference rules (modus ponens, etc)
From d) and b),
~r
q → r
Therefore ~q (by Modus Tollens)
From a), and our previous conclusion:
p ∨ q
~q
Therefore p (by disjunctive sillogism)
Until know, we have concluded p and ~q. By e)
~q → u ∧ s
~q
Therefore u∧s. (Modus Ponens)
From p, u∧s, and c)
u∧s
s (simplification)
p (previous conclusion)
p∧s (adjuntion)
p∧s→t (Modus Ponens)
Therefore t, as we wanted to conclude.
Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
Answer:
the answer is the letter Y
Step-by-step explanation:
9x+5-4x-3=5x+2. You combine like terms after multiplying by negative sign.
Answer:
x = 11
Step-by-step explanation:
-11 + 4x + 9x - 9 = 123
-11 + 4x + 9x = 132
4x + 9x = 143
13x = 143
x = 11
