Answer: F) 180°
Step-by-step explanation:
The sum of any two adjacent angles of a parallelogram is equal to 180°.
5 times 1 + 1 times 1/10 + 5 times 1/100 + 3 times 1/1000
Answer:
-28
Step-by-step explanation:
Remember the order of operations: pemdas (<u>p</u>arenthesis, <u>e</u>xponent, <u>m</u>ultiply, <u>d</u>ivide, <u>a</u>dd, <u>s</u>ubtract). Just simplify the expression.
22 - 53 + 3
(22-53) + 3
-31 + 3
-28
Answer:
-4
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well the slopes of 2 parallel lines have the same slope,
meaning if the green line has a slope of -4 then the slope of the red line has a slope of -4.
<em>Hope this helps :)</em>
Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.