Polygon A is similar to Polygon B because Polygon B is a dilation of Polygon A.
You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
The correct answer is 3x = 42
There would be a total of 42/3 or 14 packages.
X+7= Yvonne's age.
a. 4(x+7)=200
b. 4(x+7)=200
4x+28=200
4x=172
x=43
Yvonne is 43 years old.
c. 43-7=Xavier's age.
36
Xavier is 36 years old.
