Answer:
On average, the land moved 0,14 cm each year.
Step-by-step explanation:
To know how much did, on average, the land move, we should divide the total number of cm over the total number of years:
x=24.8 cm/175 years
x=0,1417 cm each year
If we divide years over cm we will get x in years each cm, which is wrong.
Because the problem asks for the answer rounded to the hundredths place:
x= 0,14 cm each year
Answer:
The dilation is an enlargement
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate
Let
z------> the scale factor
so

substitute the values


The scale factor is greater than 1
therefore
The dilation is an enlargement
To find the probability of both of these occurring, you will multiply the probability of choosing a blue marble by the probability of choosing a purple marble (with no replacement after the first one).
Probability of choosing a blue marble: 17/120
Probability of choosing a purple marble: 18/119
17/120 x 18/119 = 3/140
You will have a 3/140 chance of both of these occurring.
N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.