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rjkz [21]
3 years ago
6

Point C on line segment BD. Given BD = 5x, BC = 4x, and CD = 4,

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer:

The numerical length of BD is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point C lies on the line segment BD

→ That means C divides BD into 2 parts

∴ C divides BD into 2 parts BC and CD

∴ BD = BC + CD

∵ BD = 5x

∵ BC = 4x

∵ CD = 4

→ Substitute them in the equation above

∴ 5x = 4x + 4

→ Subtract 4x from both sides

∵ 5x - 4x = 4x - 4x + 4

∴ x = 4

→ Substitute the value of x in the expression of BD

∵ BD = 5x

∵ x = 4

∴ BD = 5(4) = 20

∴ The numerical length of BD is 20 units

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egoroff_w [7]

Answer:

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Step-by-step explanation:

To determine the value of b:

Given:

(152)_b = 0x6A               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106

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Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, (152)_8

Substitute this in [1] we have;

(152)_b = (152)_8

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

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Step-by-step explanation:

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Step-by-step explanation:

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