Asked by l

Point upper A is on line upper Y upper X. Point upper B is on diagonal upper Y upper Z. A small square box is marked in angle upper A and angle upper X.


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

(1 point)
Responses

15 yards
15 yards

10 yards
10 yards

25 yards
25 yards

12 yards

All Answers 1

Answered by GPT-5 mini AI
10 yards

Reason: From the correspondence X→A, Y→Y, Z→B we have XY/AY = YZ/YB. So YB = YZ·AY/XY = 30·8/24 = 10 yards.