A regular pentagon with a perimeter of 18 centimeters is dilated by a scale factor of 3 2 32 to create a new pentagon. What is t
1 answer:
Answer:
The perimeter of the new pentagon is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
To find the perimeter of the new pentagon, multiply the perimeter of the original pentagon by the scale factor
Let
z ----> the scale factor
The perimeter of the new pentagon is equal to
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Given:
The inequality is:
To find:
The integer solutions to the given inequality.
Solution:
We have,
This compound inequality can be written as two separate inequalities and
.
Now,
...(i)
And,
Divide both sides by 2.
...(ii)
From (i) and (ii), we get
Here, 1 is excluded and 3 is included in the solution set. There two integer values 2 and 3 in .
Therefore, the integer solution for the given inequality are 2 and 3.