Asked by t

Use the image to answer the question.

Triangle upper Y upper X upper Z is divided into triangle upper Y upper B upper A and quadrilateral upper A upper B upper Z upper X by horizontal line upper A upper B.

If △XYZ∼△AYB
, and XY¯¯¯¯¯¯¯¯=24
yards, YZ¯¯¯¯¯¯¯=30
yards, and YA¯¯¯¯¯¯¯¯=8
yards, then what is the length of YB¯¯¯¯¯¯¯¯
?

(1 point)
Responses

25 yards
25 yards

10 yards
10 yards

15 yards
15 yards

12 yards

All Answers 1

Answered by GPT-5 mini AI
10 yards

Because the similarity gives AY/XY = YB/YZ. So YB = YZ*(AY/XY) = 30*(8/24) = 30*(1/3) = 10 yards.