Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 Linear pair
∠4 + ∠5 +∠ 3 = 180 form straight line
∠1 + ∠2 = ∠4 + ∠5 + ∠3 from statement 1 and 2
∠3 +∠2 = ∠4 + ∠5 + ∠3 ∠1 and ∠3 are vertically opposite angles.
∠2 = ∠4 + ∠5 Proved
Answer:
$2220
Step-by-step explanation:
Step one
Given data
Principal= $2000
rate= 1.1%= 0.011
time= 10 years
<u>Required</u>
<u>The final amount A</u>
Step two;
For simple interest, the final amount is given as
A=P(1+rt)
substitute
A=2000(1+0.011*10)
A=2000(1+0.11)
A=2000(1.11)
A=2220
$2220
h=-3
<em><u>Substitute h in</u> 2-6h</em>
2-6h=
2-6*(-3)=2+18=20
<em>Answer: 20</em>
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are
and 
Here the given equation is
= 0
a = 2
b = -4
c = -1
If the roots are
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.
Answer:
8 The victim wasn't mauled by a cougar - Clue 1
20 Dr. Alpha was in the kitchen cooking - Clue 2
-12 The victim had no venomous bites - Clue 3
72 Miss Beta was at the movie theater - Clue 4
14 The victim wasn't electrocuted - Clue 5
14 Coach Omega was sleeping at the atrium - Clue 6
-8 The murder did not include a firearm - Clue 7
-12 Mrs.Gamma was doing yoga at the gym - Clue 8
169 The murder wasn't drowning - Clue 9
-274 Mr.Epsilon was swimming laps at a pool - Clue 10
is what i know, i will figure out in a bit! :D
Step-by-step explanation: