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lorasvet [3.4K]
3 years ago
7

Find the value of XA: 2B: 4C: 6D: 8​

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

Using the Pythagorean theorem:

x^2 + (x-2)^2 = (√20)^2

Simplify the right side:

x^2 + (x-2)^2 = 20

Subtract 20 from both sides:

x^2 + (x-2)^2 - 20 = 0

Factor:

(x-4)(x+2) = 0

Solve for each x:

x = 4 and x = -2

The side cant be a negative value, so the answer would be x = 4

The answer is B.

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max2010maxim [7]

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10000000000000000000000000000000000000000

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3 years ago
A building is 2ft from a 10ft fence that surrounds the property. A worker wants to wash a window that is 14ft from the ground. H
Ronch [10]

Height of fence = 10 feet

Height of point where window needs to be washed = 14 feet

Distance between fence and building = 2 feet

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⇒ Distance between building and ladder = Distance between fence and building + Distance between fence and ladder

⇒ Distance between building and ladder = 2 + 10 feet

⇒ Distance between building and ladder = 12 feet

Now to determine the length of the ladder that goes over the fence, we can use the Pythagoras theorem, where perpendicular is represented by the height of the building, and base is represented by distance between the building and the ladder, and the length of the ladder represents the hypotenuse

So by Pythagoras theorem:

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⇒ Length of the Ladder² = Height of the Building² + Distance between Ladder and Building²

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