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adelina 88 [10]
2 years ago
15

Each pair of figures is similar. Find the missing side.

Mathematics
1 answer:
Kaylis [27]2 years ago
3 0

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

Set up ratios and solve for x.

#1

  • x / 54 = 6 / 36
  • x / 54 = 1/6
  • x = 54/6
  • x = 9

#2

  • x / 4 = 99 / 11
  • x / 4 = 9
  • x = 4*9
  • x = 36

#3

  • x / 10 = 6 / 60
  • x / 10 = 1/6
  • x = 10/6
  • x = 5/3

#4

  • x / 4 = 28 / 7
  • x / 4 = 4
  • x = 4*4
  • x = 16
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The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is
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Area of the middle rectangular section = length x width = 35 x 20 = 700 square cm.

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Area of a full circle is pi x r^2 = 3.14 x 25^2 = 1962.5 square cm.

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Total area of the figure = 700 + 981.25 = 1681.25 square cm

6 0
3 years ago
A limited-edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.
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3 years ago
Help! Need this done quickly! picture is upside down so please flip your screen! sorry! ​
iogann1982 [59]

Answer:

x=6

Step-by-step explanation:

Hi there!

<u>1) Determine the perimeter of the square</u>

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

A=l^2 where l is the side length

Plug in the given area 121 in.²

121=l^2

Take the square root of both sides

\sqrt{121} = \sqrt{l^2} \\11=l

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

P=4l where l is the side length

P=4(11)\\P=44

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

<u>2) Determine the value of x</u>

Use the formula for the perimeter of a rectangle:

P=2(l+w) where l is the length and w is the width

Plug in 3x and x-2 as the length and width

P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)

Plug in the perimeter 44 in.

44=2(4x-2)

Expand the parentheses

44=8x-4

Add 4 to both sides to isolate 8x

44+4=8x-4+4\\48=8x

Divide both sides by 8 to isolate x

\frac{48}{8}=\frac{8x}{8}  \\6=x

Therefore, the value of x is 6.

I hope this helps!

4 0
3 years ago
How do I solve 27×36
Fudgin [204]

Answer:

972

Step-by-step explanation:

so you  put it up and down 72

                                          x  36

and you x 6 and 2   and 6 and 7

and you do the same with the 3  

3x2 and 3x7

4 0
3 years ago
Read 2 more answers
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