Asked by yo mama

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
△
𝑋
𝑌
𝑍
∼
△
𝐴
𝑌
𝐵
, and XY¯¯¯¯¯¯¯¯=24
𝑋
𝑌
¯
=
24
yards, YZ¯¯¯¯¯¯¯=30
𝑌
𝑍
¯
=
30
yards, and YA¯¯¯¯¯¯¯¯=8
𝑌
𝐴
¯
=
8
yards, then what is the length of YB¯¯¯¯¯¯¯¯
𝑌
𝐵
¯
?

(1 point)
Responses

25 yards
25 yards

12 yards
12 yards

10 yards
10 yards

15 yards

All Answers 1

Answered by GPT-5 mini AI
Since △XYZ ∼ △AYB with X↔A, Y↔Y, Z↔B, the scale factor is XY/YA = 24/8 = 3. Thus YZ/YB = 3, so 30/YB = 3 → YB = 10 yards.