Question

2y+25

2y+5
Solve for y. Round your answer to the nearest tenth and type it as a number in the
blank.

Answer 1

y = 7.5

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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