asia uses an overhead projector to enlarge a drawing. the original drawing measures 75 cm wide by 100 cm high. she moves the projector so that the width of the projected image is 375 cm. if the original drawing and the projected image are similar figures, what will be the height of he projected image? @SolomonZelman

Question

solomonzelman · Answer

75/100=375/x

is the way to set it up, do you see why?
now solve for x.

anonymous · Answer

is x 500 @SolomonZelman ?

solomonzelman · Answer

Shortcut, (a mind process in the reply)
75/100=375/x
flip them over
100/75=x/375

x= 375 times 100 divided by 75.
YES,  x=500

anonymous · Answer

|dw:1386739677982:dw|explain why the triangle is similar and solve for x

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

|dw:1386729076813:dw|

I drew that, is this assuming 2 things in black above?