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levacccp [35]
3 years ago
10

A regular pentagon has a perimeter of 15x+35 What is the length of one side of the pentagon?

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

-3.5 or -7/2

Step-by-step explanation:

Pentagons have five sides, so 15x+35

15x+35=5

subtract 35

15x+35-35=5x-35

simplify

15x=5x-35

subtract 5x

15x-5x=5x-35-5x

simplify

10x=-35

divide by 10

\frac{10x}{10}=\frac{-35}{10}

simplify

x=-\frac{7}{2} or also -3.5

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What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (<u>HCF)</u> of both the number, 35 and 40.

Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.

So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.


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   hope it helped
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