Given the information below find the coordinates for y

Option A (15,0) is the correct answer.

Step-by-step explanation:

It is given that,

ΔABC ~ ΔXYZ

Therefore their sides are in same ratio.

And AB~XY, BC~YZ and AC~XY

or, AB/XY = BC/YZ and AC/XY

To find AB, BC and AC

It is given that, A(1,0), B(5,0),C(2,3),X(7,0)and Z (9,6)

By using distance formula,

AB = 4

BC = 3√3

AC =√10

To find XZ

XZ = √40 = 2√10

AC ~ XZ

AC/XZ = 1/2

To find coordinates of Y

AB ~ XY and AB/XY = 1/2

XY = 2AB = 2 * 4 = 8

Substituting the options

Option A) Y (15,0)

X(7,0)

XY = 8

Therefore AB/XY = 4/8 = 1/2

Therefore option A is the correct answer.

i think this could be a possible answer (1 / 84) -1

good luck! : d

step-by-step explanation: