Answer: Yes by SAS
Why: they have two equal sides makes by the dashes and two 90 degree angles in the same places on both triangles meaning that the other side next to the 90 degree angle had to be equal as will
Hope this helps :D
Answer:
See below
Step-by-step explanation:
Remember the notation and rules of quantifiers. ∀ is the universal quantifier and ∃ is the existential quantifier. To negate ∀x p(x) , write ∃x ¬p(x). To negate ∃x p(x) , write ∀x ¬p(x)
Part I:
A) None of life's problems have a simple solution.
B) All of life's problems have a simple solution.
C) Some of life's problems have a simple solution
D) All of life's problems have a simple solution (notice how the original statements in B and D mean exactly the same)
E) Some of life's problems do not have a simple solution.
Part II: Let x be a variable representing one of life's problems, y be a variable representing solutions, p(x):="x has a simple solution", and q(x,y):="y is a simple solution of x".
A) (∀x)(¬p(x)) or ¬(∃x)(p(x))
B) (∀x)(∃y)(q(x,y))
C) (∃y)(∀x)(q(x,y)). Note that the order of quantifiers is important. B) and C) have different meanings. In C) there is an universal solution of all problems, in B) each problem has its solution.
D) (∀x)(p(x))
E) Same as C)
Answer:
cos 240 deg = -1/2 and sin 240 = - root(3)/2
Step-by-step explanation:
if cos 60° = 1/2 and sin 60º = root 3/2 find cos 240° and sin 240".
we know that cos 240 = cos (60 + 180) = - cos 60 = - 1/2
cosine is negative when the angle is in the 3rd quadrant
sin 240 = sin (60 + 180) = - root(3) /2
sine is also negative in the 3rd quadrant.
