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alexira [117]
3 years ago
10

Point J is on line segment \overline{IK} IK . Given IK=5x,IK=5x, IJ=4,IJ=4, and JK=4x,JK=4x, determine the numerical length of \

overline{IK}. IK
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

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Genghis Khan organized his men into groups of 10 soldiers under a "leader of 10." Ten "leaders of 10" were under a "leader of 10
Drupady [299]

Answer:

(a) 11110 soldiers

(b) 6404 soldiers

Step-by-step explanation:

Following that logic you can express the men of any level of his organization as 10^n, where n is the level. Some examples:

Level 1: 10^1 = 10

Level 2: 10^2 = 100 Each of the 10 men in level 1 are in charge of 10 men in the level 2 (10 * 10 = 100)

(a) if the lowerst level of the organization has 10,000 soldiers, then the lowest level is:

10^n = 10,000

n = 4

The total number of men under him is:

10^4+10^3+10^2+10^1 = 11110 (Assuming that he is the leader of the first 10 leaders)

(b) In this case the lowest level has 5763, you have a 1 leader for every 10 soldiers, then the leaders needed for the lowest level is:

5763/ 10 = 576.3 = 577 leaders

These 577 leaders also have their own leaders for every 10:

577/10 = 57.7 = 58 leaders

And these also have their own leaders:

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5763 + 577 + 58 + 6 = 6404 soldiers

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