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user100 [1]
3 years ago
7

Find the value of x on this triangle

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

Answer:

x = 35

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (x+2)^2

FOIL

x^2+144=x^2+4x+4

Subtract x^2 from each side

144= 4x+4

Subtract 4 from each side

140 = 4x

Divide by 4

35 =x

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Answer:

Mean = 18.8

Step-by-step explanation:

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Mean = 94/5

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7 0
3 years ago
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Which of the following shows the prime factorization of 200 using exponential notation?
Vilka [71]

Answer:

The prime factorization of 200 using exponential notation is 2^{3}\times 5^{2}.

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

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5) \frac{5}{5} = 1 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

200 = 2^{3}\times 5^{2}

The prime factorization of 200 using exponential notation is 2^{3}\times 5^{2}.

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3 years ago
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