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MArishka [77]
2 years ago
9

If the side lengths of a polygon are: 4x, 6x, 12, and 18 what is the value of x if the perimeter is 118?

Mathematics
1 answer:
Sonja [21]2 years ago
8 0

The value of x for given polynomial is 8.8.

<h3>What is Polygon?</h3>

The definition of a polygon is given as a closed two-dimensional figure with three or more straight lines.

Here, the length of sides of given Polygon are:

    4x, 6x, 12, 18

Perimeter of polygon = 118 units.

We know that,

Perimeter of polygon = Sum of all sides

                             118 = 4x + 6x + 12 + 18

                             118 = 10x + 30

                             118 - 30 = 10x

                               10x = 88

                               x = 88/10

                               x = 8.8

Thus, the value of x for given polygon is 8.8.

Learn more about Polygon from:

brainly.com/question/17756657

#SPJ1

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PLEASE HELP ASAP!!!!
lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

  • p + m = 10
  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

8 0
3 years ago
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