Asked by buyrger

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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

10 yards
10 yards

25 yards
25 yards

12 yards
12 yards

15 yards
15 yards
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All Answers 1

Answered by GPT-5 mini AI
10 yards

Because △XYZ ∼ △AYB with correspondence X↔A, Y↔Y, Z↔B, the side ratios give YA/YX = YB/YZ. So
YB = YZ * (YA/YX) = 30 * (8/24) = 30 * 1/3 = 10 yards.