Answer:
y = 7.5
Step-by-step explanation:
You want the value of y given base segment (2y+25) and midsegment (2y+5).
Similar triangles
In this geometry, the two triangles are similar, and the smaller is half the size of the larger. This means the base length is twice the length of the midsegment:
2y +25 = 2(2y +5)
2y +25 = 4y +10 . . . eliminate parentheses
15 = 2y . . . . . . . . . . . subtract (2y+10)
y = 7.5 . . . . . . . . . divide by 2
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