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sdas [7]
3 years ago
7

Find the area of the missing piece of the polygon and explain your process for finding it:

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

42

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet.  Along each side of the square are two triangles.  These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

b + c = 24

c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

x = 42

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Holly fills a bucket with of a pound of confetti in of an hour. How much confetti could she fill the bucket with in 1 hour?
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3 years ago
Select the three ratios that represent the number of red cars to blue cars.
Lorico [155]

Three ratios that represent the number of red cars to blue cars are

2 : 3

6 : 9

8 : 12

\texttt{ }

<h3>Further explanation</h3>

<u>Given:</u>

Number of Red Cars = 4

Number of Blue Cars = 6

<u>Asked:</u>

Ratio = ?

<u>Solution:</u>

<em>Let:</em>

<em>Number of Red Cars = R</em>

<em>Number of Blue Cars = B</em>

The ratio that represent the number of red cars to blue cars is :

R : B = 4 : 6

We can find other ratio by dividing or multiplying the above comparison with the same number :

R : B = (4/2) : (6/2) = 2 : 3

R : B = (4 \times 2) : (6 \times 2) = 8 : 12

R : B = (4 \times \frac{3}{2}) : (6 \times \frac{3}{2}) = 6 : 9

\texttt{ }

<h3>Conclusion:</h3>

Three ratios that represent the number of red cars to blue cars are:

  • 2 : 3
  • 6 : 9
  • 8 : 12

\texttt{ }

<h3>Learn more</h3>
  • The LCM and HCF : brainly.com/question/420337
  • A car’s service book  : brainly.com/question/422755
  • Verify that HCF × LCM = product of two numbers : brainly.com/question/10942748

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Ratio

Keywords: Lower , Common , Multiple , Highest , Ratio , Proper , Jar , Pickles , Patties , Buns  

4 0
3 years ago
Read 2 more answers
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