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artcher [175]
3 years ago
11

Need helppppp asappppppp

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

162

Step-by-step explanation:

because this is a parallelogram :

m<2 = m<4 so

4x - 22 = 3x - 12

4x - 3x = 22 - 12

x = 10 replace x with 10 in the equation for m<4

3x - 12 is 30 - 12 = 18

m<4 and m<1 are supplementary and their sum is equal to 180

m<4 + m<1 = 180

m<1 = 180 - 18

m<1 = 162

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find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​
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<h3>☂︎ Answer :- </h3>

  • 8100
<h3>☂︎ Solution :- </h3>

  • LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
  • 2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

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☞︎︎︎ 100 × 81

☞︎︎︎ 8100

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Answer

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Step-by-step explanation:

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If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

 

The two number have the factors, 2, 2, and 3 in common.

 

The greatest common factor is then: 2 * 2 * 3, or 12.

 

The expression can be factored as:  12 ( 5 - 3)

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