Mathematics: HELP PLEASE! FIND THE SCALE FACTOR GIVEN: Triangle ABC ~ Triangle DEF. AB=15 BC=Y AC=18 DE=12 EF=9 DF=X

HELP PLEASE! FIND THE SCALE FACTOR GIVEN: Triangle

rousedem28381

17.03.2022

Given:

$\Delta ABC\sim \Delta D EF$

AB=15,BC=y,AC=18,DE=12,EF=9,DF=x

To find:

The values of x and y.

Solution:

We have,

$\Delta ABC\sim \Delta D EF$

Corresponding sides of similar triangles are proportional.

$\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}$

On substituting the values, we get

$\dfrac{15}{12}=\dfrac{y}{9}=\dfrac{18}{x}$

$\dfrac{5}{4}=\dfrac{y}{9}=\dfrac{18}{x}$

Now,

$\dfrac{5}{4}=\dfrac{y}{9}$

$\dfrac{5}{4}\times 9=\dfrac{y}{9}\times 9$

$\dfrac{45}{4}=y$

11.25=y

And

$\dfrac{5}{4}=\dfrac{18}{x}$

$5\times x=18\times 4$

$x=\dfrac{72}{5}$

x=14.4

Therefore, the value of x is 14.4 units and value of y is 11.25 units.

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jefarmjefarm9659

16.10.2020

200 seeds

Step-by-step explanation:

If 2/3 of the seeds sprouted, then (1-2/3) 1/3 of the seeds did not sprout.

1/3 * 600 = 600/3 = 200

200 seeds did not sprout

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