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2 years ago

If EF bisects CD, CG = 5x-1, GD = 7x-13, EF=6x-4, and GF = 13, find EG (MUST SHOW WORK)

Mathematics

1 answer:

iogann1982 [59]2 years ago

3 0

Answer:

EG = 19

Explanation:

Given that a line segment CD. EF bisects the line CD at point G.

Length of CG = 5x-1

Length of GD = 7x - 13

We know that CG = GD

5x-1 = 7x-13

Solve for x,

2x = 12

x = 6

Now given that,

EF = 6x-4

GF = 13

EF = EG + GF

6x - 4 = EG + 13

EG = 6x - 4 - 13

EG = 6x - 17

put the value of x = 6, in order to find the EG

EG = 6*6 - 17

EG = 19

That's the final answer.

I hope it will help you.

Worker123

1 year ago

how did you get that equation to find X?

Bellal

1 year ago

How did you find X?

yellow8

1 year ago

To find x:

yellow8

1 year ago

5x-1=7x-13 —> subtract 7x from both sides and add 1 to both sides —> -2x-12 —> divide both sides by -2 —> x=6

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Given:

Principal = Rs. 1200

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To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

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If interest is equal to the principal, then

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$Amount=1200+1200$

$Amount=2400$

The formula for amount is:

$A=P\left(1+r)^n$

Substituting $A=2400, P=1200, r=0.25$ in the above formula, we get

$2400=1200(1+0.25)^n$

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$\log2=\log(1.25)^n$

$\log2=n\log(1.25)$ $[\because \log a^b=b\log a]$

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$n\approx 3.11$

Therefore, the interest will became equal to the principal in about 3.11 years.

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2 years ago

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Answer:

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