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miss Akunina [59]
3 years ago
9

Answer choices for A : 6, 5 , 5.5

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

A = 6

B = 29

C = 29

D = 151

Step-by-step explanation:

From the given figure,we get <3 = <5 ( corresponding angle)

A)

<u>if <3 = 5x - 1 and <5 = 3x + 11 then x =?</u>

<3 = <5

5x - 1 = 3x + 11

5x - 3x = 11 + 1

2x = 12

x =6

B)

<u>if <3 = 5x - 1 and <5 = 3x + 11 then  <3 = ?</u>

x = 6

<3 = 5x - 1= 5*6 - 1 = 30 - 1= 29

<3 = 29

<u>if <3 = 5x - 1 and <5 = 3x + 11 then  <1= ?</u>

x = 6

<1 = <3 = 5x -1

<1 = 5*6 - 1 = 29

<1 = 29

<u>if <3 = 5x - 1 and <5 = 3x + 11 then  <2 = ?</u>

x = 6

<2 = 180 - <3

<3 = 29

<2= 180 - 29 = 151

<2 = 151

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<h3>How to calculate the area of the shaded region?</h3>

By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:

Area of shaded region = Area of square - Area of circle.

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Radius = diameter/2 = 10/2 = 5 feet.

For the area of square, we have:

Area of square = S²

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Area of square = 100 square foot.

For the area of circle, we have:

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Substituting the parameters into the formula, we have;

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Area of shaded region = 100 - 78.5

Area of shaded region = 21.5 ≈ 22

Area of shaded region = 22 square foot.

Read more on area of circle here: brainly.com/question/2278809

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<h3>Complete Question:</h3>

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