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:
Step-by-step explanation:
x = 3
y = 5
2x^2 + 3y^2 = 2 × 3^2 + 3 × 5^2
= 2 × 9 + 3 × 25
= 18 + 75
= 93
Hope this helps
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Step One
Find AM
Formula
AM = MN - AN
Givens
MN = 67.2
AN = 32
Solution
AM - 67,2 - 32
AM = 35.2
Step Two
Set up a solution
67.2/35.2 = 81.9/x Cross Muliply
67.2 * x = 81.9 * 35.2 Combine the right
67.2 * x = 2882.88 Divide by 67.2
x = 2882.88/67.2
x = 42.9 Answer
Use x to represent “a number”
1x=10-2x
Answer:
Step-by-step explanation:
We have been given that the Rumpart family is building a new room onto their house. The width of the new room will be 16 feet.
The length of the room will be 4% greater than the width. This means that length of new room will be 16 feet plus 4% of 16.
Therefore, the expression 
represents the length of new room and the length of new room is 16.64 feet.
Since we know that area of a rectangular shape is width times length.
Therefore, the area of the new room will be 266.24 square feet.
