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.

The triangles are not similar

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.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )