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3 years ago

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Explain I don’t understand

1 answer:

Serggg [28]3 years ago

7 0

So just divide 100 by 25 which equals 4 then divide 120 by 30 which also equals to 4 and if the rest equal 4 then its proportional (1)
And then same for 2 and 3 just divided the bottom by the top and if they all get the same answer they are proportion and if one is not the same then it’s not

For the grids if the dots are line diagonally straight and it starts at the 0 then it’s proportional if not then it’s not

Hope this helps :)

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Point B is on line AC so that AB : BC = 2 : 1. Point D is on line AB so that AD : DB = 3 : 2. Find AD : DC

Leya [2.2K]

Firstly, we will draw figure

Let's assume

length of AC=x

we have

AB : BC = 2 : 1

so,

$AB=\frac{2}{3} x$

$BC=\frac{1}{3} x$

Point D is on line AB

and

$AB=\frac{2}{3} x$

AD : DB = 3 : 2

so, we get

$AD=\frac{3}{5} *\frac{2}{3} x$

$AD=\frac{2}{5} x$

$DB=\frac{2}{5} *\frac{2}{3} x$

$DB=\frac{4}{15} x$

now, we can locate these values

Firstly, we will find DC

DC=DB+BC

now, we can plug values

$DC=\frac{4}{15} x+\frac{1}{3} x$

$DC=\frac{3x}{5}$

we have got

$AD=\frac{2}{5} x$

now, we can find ratio

$\frac{AD}{DC} =\frac{\frac{2}{5} x}{\frac{3x}{5}}$

now, we can simplify it

$\frac{AD}{DC} =\frac{2}{3}$

so,

AD:DC=2:3...........Answer

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