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GREYUIT [131]
3 years ago
6

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

two consecutive even integers: n, n+2

next two consecutive even integers n+4, n+6

n+(n+2) >= 7+1/2(n+4 +n+6)

combine like terms

2n+2 >= 7 +1/2(2n+10)

distribute 1/2

2n+2 >= 7+n+5

2n+2>= n+12

subtract n from each side

n+2>= 12

subtract 2 from each side

n>10

4 integers : 10, 12 ,14, 16

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ioda

Answer:

Side FG, Side DF, Side DG

Step-by-step explanation:

The angles of a triangle add up to 180° and since we know 2 of the angles add up to 110° the missing ∠G can be found by subtracting

180°-110°=70°

The opposite side of the largest angle is the largest side. The opposite is also true.

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3 years ago
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HACTEHA [7]

Answer:

The value of x = 5 units.

Step-by-step explanation:

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Pythagorean Theorem

For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:

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Thus, using the Pythagorean Theorem to determine the value 'x',

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x=\sqrt{13^2-12^2}

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