Answer:

Step-by-step explanation:
we are given equation as

Since, we have to solve it by using complete square
so, firstly we will complete square
and then we can solve for x
step-1:
Factor 2 from both sides

step-2:
Simplify it

step-3:
Add both sides 3^2

now, we can complete square

step-4:
Take sqrt both sides

step-5:
Add both sides by 3
we get

a triangle adds to 180 degrees
we have 90 and 40 so the hypotenuse is 50 degrees
I have included the answer and work in the picture attached below (the side length for the bottom leg is cut off, but it is 16 sqrt(2)):
Answer:
distributive
Step-by-step explanation:
you are distributing 5(d+1) into 5d +5
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.