Answer:
Step-by-step explanation:
4x=12
x=12/4
x=3 answer
y=4*3=12 answer.
z=8-3=5 answer.
proof
3+12+5=20
20=20
Answer:
m∠H = 44°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary. So,
∠H and ∠G are supplementary
4x + 16 + 2x - 16 = 180
6x = 180
x = 30
m∠H = 2x - 16 = 2(30) - 16 = 60 - 16 = 44°
Answer:
<h3>
720 different ways</h3>
Step-by-step explanation:
Permutation has to do with arrangement. If r objevt selected from n pool of objects are to be arranged in a straight line, this can be done in nPr number of ways.
nPr = n!/(n-r)!
If 5 people are to be chosen and arranged in a straight line, if there are 6 people to choose from, this can be done in 6P5 numbe of ways.
6P5 = 6!/(6-5)!
6P5 = 6!/1!
6P5 = 6*5*4*3*2*1
6P5 = 720 different ways
1.)
Between year 0 and year 1, we went from $50 to $55.
$55/$50 = 1.1
The price increased by 10% from year 0 to year 1.
Between year 2 and year 1, we went from $55 to $60.50.
$60.50/$55 = 1.1
The price also increased by 10% from year 1 to year 2. If we investigate this for each year, we will see that the price increases consistently by 10% every year.
The sequence can be written as an = 50·(1.1)ⁿ
2.) To determine the price in year 6, we can use the sequence formula we established already.
a6 = 50·(1.1)⁶ = $88.58
The price of the tickets in year 6 will be $88.58.
