When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number

Lola says these two expressions have the same value. expression a expression b which explains whether lola is correct?

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

Cd is the perpendicular bisector of both xy and st, and cy=20. find xy.