Question

FIND THE SCALE FACTOR GIVEN

TRIANGLE ABC~TRIANGLE DEF

then
USE THE THE SCALE FACTOR TO FIND X

then
USE THE SCALE FACTOR TO FIND Y
PLEASE HELP ILL CASH APP MONEY!

Answer 1

x = 14.4

y = 11.25

Explanation:

✔️Find x:

Given that ∆ABC is similar to ∆DEF, it follows that their corresponding sides must be proportional to each other.

Thus:

`(AB)/(DE) = (AC)/(DF)`

AB = 15

DE = 12

AC = 18

DF = x

Plug in the values

`(15)/(12) = (18)/(x)`

Cross multiply

`15*x = 18*12`

`15x = 216`

Divide both sides by 15

x = 14.4

✔️Find y:

`(AB)/(DE) = (BC)/(EF)`

AB = 15

DE = 12

BC = y

EF = 9

Plug in the values

`(15)/(12) = (y)/(9)`

Multiply both sides by 9

`(15)/(12)*9 = (y)/(9)*9`

`(15*9)/(12) = y`

`y = 11.25`