Question

Trapezoid EFGH ~ trapezoid MNOP. Find the value of y.

answers in the picture

Answer 1

C

Explanation:

Answer 2

The correct answer is B.
`3(3)/(5) ft.`

The proportionality relationship for similar trapezoids:


`\[ (EF)/(MN) = (FG)/(OP) = (GH)/(ON) \]`

Substitute the given values:


`\[ (x)/(2) = (6)/(y) = (3)/(5) \]`

From the previous conversation, we found that
`\( y = 3 \)`. Now, substitute
`\( y = 3 \)`into the options:

A.
`\( (3)/(2) \) ft - Not equal to \( y = 3 \).`
B.
`\( (18)/(5) \) ft - Equal to \( y = 3 \).`
C.
`\( (5)/(2) \) ft - Not equal to \( y = 3 \).\\`