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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Answer:
Step-by-step explanation:
Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.
Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.
i.e. Cost of 'c' chocolate chip cookies = 6c
Cost of b butter cookies = 7b
She must sell at least 30 boxes of cookies and at least $175 worth of cookies.
i.e.
Thus , the system of inequalities models this situation :
Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
>
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.