Answer:
<em>B</em> 
Step-by-step explanation:
<u>Dilations</u>
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B 
Answer: 14/15
This is because to get to 14/15 you must divide by 6 but when getting to 42/45 you must divide 2. Therefore 14/15 is your answer because the problem went to the most reduced fraction.
Answer:
180 cm²
Step-by-step explanation:
From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.
Area of a square = x² (where x is the length of one side)
⇒ area of the square = 6² = 36 cm²
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²
Total surface area = 4 x area of one triangle + area of the square
= 4 x 36 + 36
= 144 + 36
= 180 cm²