Answer:
y = 1, 1.319, 1.024, 0
Step-by-step explanation:
Given equation:
The two statements about the dilated quadrilateral a'b'c'd' are false.
bc and bc' are on the same line ( False)
The length of the cd and c'd' are the same. (False)
<h3 />
The complete question is attached with the answer below.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Here the quadrilateral abcd is dilated by the scale factor 5 / 2.So the new quadrilateral is a'b'c'd'.
The given two statements are false:-
bc and bc' are on the same line ( False)
The length of the cd and c'd' are the same. (False)
<h3 />
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189 because 20.7 rounds to 21 and 9.18 rounds to 9
21 * 9 = 189
2* 100 + 2 * 65 = 330 perimeter
100 * 65 = 6,500 area
2*90 + 2*75 = 330 perimeter
90 * 75 = 6,750 area
Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)