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3 years ago

The figures are similar. Find x

Mathematics

2 answers:

Sonja [21]3 years ago

8 0

Answer:

6 2/3 or 20/3 or 6.6667

Step-by-step explanation:

Since the figures are similar, you can find x through comparing ratios. To get from 9 to 4, multiply 9 by 4/9. To find x, you must then multiply 15 by 4/9.

15 x 4/9 = 6 2/3 or 20/3 or 6.6667

tankabanditka [31]3 years ago

3 0

Answer:

$x=\frac{20}{3} =6.67$

Step-by-step explanation:

$x=15*\frac{4}{9}=\frac{20}{3} =6.67$

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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Hitman42 [59]

$\longmapsto$ The value of "x" is 5.

$\large\underline{\sf{Solution-}}$

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

$\rm In \: \triangle \: AOB \: and \: \triangle \: COD$

$\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}$

$\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}$

$\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}$

$\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO}$

$\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4}$

$\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2}$

$\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x$

$\rm \longmapsto\: 3x - 4 = 1 + 2x$

$\rm \longmapsto\: 3x - 2x= 1 +4$

$\bf\longmapsto \:x = 5$

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Which unit should be used to measure the amount of water used

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

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VMariaS [17]

Answer:

This is a direct variation where the constant of variation is 5/9

Step-by-step explanation:

The equation for direct variation is y = kx

5x-9y =0

Lets try to get this equation in the above form

Add 9y to each side

5x-9y +9y = 9y

5x = 9y

Divide each side by 9

5/9 x = 9y/9

5/9x = y

This is in the form y = k x where k =5/9

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3 years ago