Answer: 7
Step-by-step explanation:
Given: Triangle UVW map to triangle XYZ where Triangle UVWhas side Lengths 3,4,2, and triangle XYZ has lengths 14,28,21.
We know that the scale factor between two similar figures is the the ratio of the corresponding side of image to the original figure.
Let k be the scale factor.
Then,
Hence, the scale factor = 7
The common difference of the sequence is -3 and the fifth term is 5
<h3>How to determine the common difference?</h3>
The sequence is given as:
17, 14, 11, 8....
The common difference is
d = T2 - T1
So, we have
d = 14 - 17
Evaluate
d = -3
Hence, the common difference of the sequence is -3
<h3>How to determine the
fifth term?</h3>
The fifth term is calculated as:
T5 = a + 4d
Where
a = T1 = 17
d = -3
So, we have:
T5 = 17 - 4 * 3
Evaluate
T5 = 5
Hence, the fifth term is 5
<h3>How to determine the
nth term?</h3>
The nth term is calculated as:
Tn = a + (n - 1)d
Hence, the nth term is Tn = a + (n - 1)d
Read more about arithmetic sequence at:
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Answer:
160
Step-by-step explanation:
You add the amount of pages that she has read in all which is 42+32=72. Then you subtract the sum by the amount fo pages in the book: 232-72 which equals 160
If 140 people were surveyed, from the given table, the number of people that preferred crab is; 42
<h3>How to work with percentages?</h3>
We are given;
Total sample size; n = 140
Now, from the table we see the percentages that preffered each seafood.
Percentage that preferred Shrimp = 24%
Percentage that preferred Crab = 30%
Percentage that preferred Fish = 36%
Percentage that preferred Neither = 10%
Thus;
Number that preferred Crab = 30% * 140
Number that preferred Crab = 42 people
Read more about Percentages at; brainly.com/question/843074
