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aalyn [17]
3 years ago
8

Apply the distributive property to Factor out the greatest common factor of 75+20​

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0

Answer:

75 + 20 = 5 (15 + 4) = 5 × 19 = 95

Step-by-step explanation:

The prime factors of 75 are 3 × 5 × 5.

Again, the prime factors of 20 are 2 × 2 × 5

Therefore, the greatest common factor of 75 and 20 is 5.

Now, 75 + 20

= 5 × 15 + 5 × 4

= 5(15 + 4) {Using the distributive property of multiplication}

= 5 × 19

= 95 (Answer)

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Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

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We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

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