Using Postulates and/or Theorems learned in Unit 1, determine whether ABC~AXY. Show all your work and explain why the triangles are similar or why they are not.

Explanation:

AB = AX+XB = 8+22 = 30

The ratio of AB to AX is AB/AX = 30/8 = 3.75

AC = AY+YC = 9+33 = 42

The ratio of AC to AY is AC/AY = 42/9 = 4.67 approximately

Since we don't get the same result, this means that the equation AB/AX = AC/AY is not true. The sides are not in proportion with one another, and therefore the triangles aren't similar.

The sides need to be in proportion with one another so we could use the SAS similarity rule.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: