In similar figures, the angle measures are the same but the side lengths are different. So in #4, x = 42. Since all the angles of a quadrilateral added up equal 360, then y is 360-90-90-42=138. For number 5, make sure you match up the sides correctly in your ratio: . You could cross multiply to get 4x=16, and x = 4, or you could just realize that reducing 4/8 will give you 2/4 and x = 4. Going back to the idea that in similar shapes corresponding angles are the same measure, x in #6 is 63
You find the HCF which is 8 you divide 32 and 24 by 8 which will give you 4 and 3 respectively therefore there will be 4 slices of turkey and 3 slices of cheese in each sandwich. and there will be 8 sandwiches...