Diagonal ac divides the trapezoid abcd (with bases ad and bc, ad> bc) into two similar triangles, △abc and △dca. find ac if bc=4 cm and ad=9 cm.

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a> 1