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SCORPION-xisa [38]
3 years ago
10

Geometry help please........

Mathematics
1 answer:
svp [43]3 years ago
4 0
Let m = 10 and n = 2

We know:

y^2 = (m+n).m

y^2 = (10+2).10

y^2 = 120

y = √(120)

Then,

m^2 + x^2 = y^2

10^2 + x^2 = ( √( 120) )^2

100 + x^2 = 120

x^2 = 120 - 100

x^2 = 20

x = √(20)

x = √(4×5)

x = √(4) × √(5)

x = 2√(5)

I hope this has helped!
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Explanation for #1:

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Explanation for #2:

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1. 43, 45, and 47

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Step-by-step explanation:

1. Let's assume that the first number in the three consecutive odd numbers is x.

We can write an equation to express this now. x + (x+2) = (x+4) + 41.

Combining like terms, we get 2x+2 = x+45. Subtracting by (x+2) on each side, we get x = 43. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.

2. Let's assume that the first number in the three consecutive even integers is x.

We can write an equation to express this now. x + (x+2) = (x+4)+48

Combining like terms, we get 2x+2 = x+52. Subtracting by (x+2) on each side, we get x = 50. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54

3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.

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5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.

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5 0
3 years ago
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