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Sergeu [11.5K]
3 years ago
13

Can someone please help me

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

5)

x = 132 - 42

x = 90

Answer

90 degrees, right angle


6)

180 - 126 = 54

The other two are congruent so 54/2 = 27

Answer

27

7)

An exterior angle of a triangle is equal to the sum of the opposite interior angles

So

6x = 38 + 82

6x = 120

 x = 20

Answer

20

8)

Sum of interior in a triangle = 180 degrees

So

2x - 3 + 23 + 128 = 180

2x + 148 = 180

2x = 32

 x = 16

Answer

16

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Answers:

  • Lateral Area = No lateral area (choice D)
  • Surface Area = 25.97 square inches (choice E)
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============================================

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

-----------------------

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

1 & 7/16 = 1.4375

The radius is r = 1.4375 inches.

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-----------------------

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V = (4/3)*pi*r^3

V = (4/3)*pi*(1.4375)^3

V = 12.4426294974698

V = 12.44 cubic inches (choice A)

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