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3 years ago

I just need someone to explain please

Mathematics

1 answer:

slava [35]3 years ago

5 0

<h3><u>Given</u><u>:</u></h3>

line m || line n

The value of x.

<h3><u>Alternate</u><u> </u><u>Interior</u><u> Angles</u><u>:</u></h3>

The angles formed when a transversal intersects two parallel lines ( m and n ).

<h3><u>Explan</u><u>ation</u><u>:</u></h3>

6x + 10° = 5x + 28° ( Alternate Interior Angles )

By transposition method, we get

6x - 5x = 28° - 10°

By simplifying the like terms, we get

x = 18°

<h2><u>Answer</u><u>:</u></h2>

The value of x is 18°.

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2:1

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90-60 = 30 red marbles

blue:red → 60:30 → 2:1

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A spice mix recipe calls for 8 cups of salt, 6 cups of grounded black pepper, and 2 cups of garlic powder. How many cups of spic

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Answer:

There are 16 cups of spice mix will made by the recipe.

Step-by-step explanation:

Given,

Number of cups of salt = 8

Number of cups of grounded black pepper = 6

Number of cups of garlic powder = 2

We have to find out number of cups of spice mix made by recipe.

Solution,

The total number of cups of spice mix is the sum of amount of salt, amount of grounded black pepper and amount of garlic powder.

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3 years ago

4) Use the Euclidean algorithm to find the greatest common divisor d of 313,626 and 152,346. Then use this algorithm to find int

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Answer:

Greatest common divisor of 313,626 and 152,346 is 6

s = -3581 and t = 7373

Step-by-step explanation:

gcd(313626, 152346) = gcd(152346, 8934) since 313626 = (2 × 152346) + 8934
gcd(152346, 8934) = gcd(8934, 468) since 152346 = (17 × 8934) + 468
gcd(8934, 468) = gcd(468, 42) since 8934 = (19 × 468) + 42
gcd(468, 42) = gcd(42, 6) since 468 = (11 × 42) + 6
gcd(42, 6) = gcd(6, 0) since 42 = 7 × 6 + 0
gcd(6, 0) = 6

Working backwards from the third-to-last line,

6 = 468 - (11 × 42) (line 4)

42 = 8934 - (19 × 468) (line 3)

Substituting this for 42 in the previous,

6 = 468 - 11(8934 - (19 × 468))

6 = (210 × 468) - (11 × 8934)

Still working backwards,

468 = 152346 - 17 × 8934 (line 2)

Substituting this for 468 in the previous,

6 = (210 × (152346 - 17 × 8934)) - (11 × 8934)

6 = (210 × 152346) - (8934 × 3581)

On line 1,

8934 = 313626 - 2 × 152346

Substituting this for 8934 in the previous,

6 = (210 × 152346) - ((313626 - 2 × 152346) × 3581)

6 = (7372 × 152346) - (313626 × 3581)

Hence, s = -3581 and t = 7373

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3 years ago

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