Question

Find the value of y. A- 32B- 36C- 51D- not enough information

Answer 1

From the figure shown, triangle ABE is congruent to CDB,

It then follows that the proportion of the sides be related thus

`\begin{gathered} \Delta ABE\cong\Delta CDB \\ (AB)/(CD)=(BE)/(DB)=(AE)/(CB) \end{gathered}`
`(y)/(17)=(x)/(12)=(42)/(17)`

Combining the proportion with y and the known proportion to solve for

`\begin{gathered} (y)/(17)=(42)/(7) \\ (y)/(17)=3 \\ y=3*17 \\ y=51 \end{gathered}`

Hence, y=51