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Viktor [21]
3 years ago
14

Please help and explain ( Brainliest for answer!)

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

AD = 3

Step-by-step explanation:

Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).

Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².

Expanding the formula, you'll get 25 - 16 = a².

25 - 16 = 9.

This means that 9 = a².

To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.

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Answer:

12 and 28

Step-by-step explanation:

Represent the numbers using x and y.  Then y - x = 16.  (y is the larger one.)

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Substituting (7/3)x for y in y - x = 16, we get:

(7/3)x - x = 16.

Eliminate the fraction by multiplying all three terms by 3:

7x - 3x = 48, or 4x = 48, yielding x = 12.  Then y = (7/3)(12) = 28.

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