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katrin [286]
3 years ago
13

Three numbers are in the ratio of 2:3:4 and their LCM are 240. Their HCF is?​

Mathematics
1 answer:
Dmitrij [34]3 years ago
7 0

Answer:

20.

Step-by-step explanation:

Assign variables. The numbers acan be 2x, 3x and 4x. Then, LCM of 2x, 3x and 4x is 12x

12x = 240

(240/12) = x = 20

The HCF of 2x, 3x, and 4x is 20. (Because x is the highest common factor.)

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Marat540 [252]

9514 1404 393

Answer:

  C.  168°

Step-by-step explanation:

The exterior angle at any vertex of an n-gon will be ...

  360°/n

So a 30-gon will have exterior angles of ...

  360°/30 = 12°

The adjacent interior angle is supplementary to this, so is ...

  180° -12° = 168°

_____

<em>Using the reasonableness test</em>

You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.

6 0
3 years ago
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Wh
iogann1982 [59]

Answer:

(4 , 3 ) and (-3 , -4)

Step-by-step explanation:

Other two vertices will be in 1st quadrant and 3 rd quadrant

6 0
3 years ago
Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma
levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = \dfrac{1}{4}

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = \dfrac{1}{2}

Let 't' be the time taken by both of them working together , then we have the following equation:-

\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}

Since 1 hour = 60 minutes

Then, \dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0
3 years ago
HELPP!!!
yulyashka [42]

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

<h3>= 15x = 48 </h3>

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

<h2>B. 15x = 48</h2>
3 0
3 years ago
Two-thirds of a number plus 5 is greater than 12. find the numbers
Artist 52 [7]

Answer:

21

Step-by-step explanation:

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5 0
3 years ago
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