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LuckyWell [14K]
3 years ago
13

Find the largest number which divides 224,250 and 302 and leaves remainder 3 in each case.

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0
Required number = HCF of (224 -3), (250 - 3) and (302- 3)
Required number is HCF of 221, 247 and 299. Required number = HCF of 221 and 247 and then HCF of (221 & 247) and 299.

Step (1) HCF of 221 and 247 = 13 [by using Euclid’s division algorithm]

Step (2) HCF of 13 and 299 = 13 [By using Euclid’s division algorithm]

Hence HCF of 221, 247 and 299 is 13. Hence, required number is 13.

Bad White [126]3 years ago
6 0
To have a remainder 3, we take away 3 from each number first.

<u>Take away 3:</u>
224 - 3 = 221
250 - 3 = 247
302 - 3 = 299

<u>Prime factorisation of each of the numbers:</u>
221 = <span>13 x 17
247 = 13 x 19 
299 = 13 x 23

<u>Find HCF:</u>
HCF = 13

Answer: The largest number that can be divided is 13.</span>
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Determine the slope of each line segment of AQRS. Show your work or explain your reasoning.
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The slope of each line segment of ΔQRS are-

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  • RS = - 10/3
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<h3>What is meant by the slope of the line?</h3>
  • A slope of a line is defined in mathematics as the change in y coordinate to regard to the shift in x coordinate.
  • The net change in y-coordinate is denoted by  Δy, whereas the net change in x-coordinate is denoted by  Δx.

For the given question,

The coordinates of each vertices of the triangle are-

Q = (-7, -2)

R = (3, 1)

S = (6, -9)

The formula for the slope of the line segment.

Slope = m = (y2 - y1)/(x2 - x1)

Slope QR = (1 + 2)/(3 + 7)

Slope QR = 3/10

Slope RS = (-9 - 1)/(6 - 3)

Slope RS = - 10/3

Slope QS = (-9 + 2)/(6 + 7)

Slope QS = -7/13

Thus, the slope of the each line segment of the given triangle QRS is found.

To know more about the slope of the line, here

brainly.com/question/16949303

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Two new skyscrapers, North and South, are being built. The height. N, in feet of the xth floor above the ground floor for thr No
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Then there must be some point that

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then Dayton was right

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