Answer:
every answer except -40 and -20
answer:-77,-100,-45
X= 4.167 you cross multiply both the equations. so you get 30x - 50x = 10x - 125. you shift all the values of x on side and then divide it by 125 sso you get x= 4.167
Answer:
Given: Segment AB || segment DE, C is the midpoint of segment DB.
Prove: ΔA CB ≅ ΔE CD
Proof: In ΔA CB and ΔE CD
C is the Mid point of B D.
BC=C D→ definition of midpoint
∠A CB= ∠ EC D→→vertical angles are congruent
∠BAC=∠DEC→→[AB║DE,so alternate angles are equal]
→→ΔA CB ≅ ΔE CD[A AS or A SA]
Option B: vertical angles are congruent
Answer:
Step-by-step explanation:
define the function:
As both 
and x are continuous functions, 
will also be continuous.
Now, what can we say about 
?
we know that 
, thus:
thus 
is non-negative.
What about 
? Again we have:
That means that is not positive.
Now, we can imagine two cases, either one of 
or is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point 
for which 
is a fixed point, because:
Now, if 
and 
, then we have that
and 
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which . And as we have shown before that point would be a fixed point. This completes the proof.
