. A survey showed that five out of every seven students in 8th grade do their homework
2 answers:
You might be interested in
Answer:
No
Step-by-step explanation:
If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.
Calculate the ratio of corresponding sides.
= 4
= 4
≠ 4
Thus the sides are not the corresponding sides of similar triangles.
Pattern is the rule that guides the formation of a set.
- <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
- <em>The sequence is arithmetic</em>
- <em>There are 32 tiles in the tenth mosaic.</em>
From the given design, the number of tiles used is:
<u />
<u>(a) The first five</u>
Notice that the difference in the number of tiles of successive mosaic is 3.
This means that:
So, the sequence of the first five mosaics is 5, 8, 11, 14, 17
<u>(b) The type of sequence</u>
The sequence is arithmetic
This is so, because the difference in the number of tiles of successive mosaic is 3.
This difference is called the common difference
<u>(c) The number of tiles in the tenth mosaic</u>
The nth term of an arithmetic sequence is:
In this case:
So, we have:
There are 32 tiles in the tenth mosaic.
Read more about arithmetic sequence at: