Answer:
The ratio of perimeter of ABCD to perimeter of WXYZ = 
Step-by-step explanation:
First, we have to determine the multiplicative factor of the dimensions for both figures.
Considering sides AB and WX,
multiplicative factor = 
= 1.5
So that:
XY = 6 x 1.5 = 9
YZ = 7 x 1.5 = 10.5
ZW = 7 x 1.5 = 10.5
Perimeter of ABCD = 6 + 7 + 7 + 8
= 28
Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12
= 42
The ratio of the perimeters of the two quadrilaterals can be determined as;
ratio = 
= 
=
The ratio of the perimeter of ABCD to perimeter of WXYZ is .
Answer:
2.80
Step-by-step explanation:
Take the cost and divide by the number of padlocks
25.20/9
2.80
Each padlock costs 2.80
Answer:
y = x + 1
Step-by-step explanation:
We are using the points (0, 1) and (6, 7). First, use these points to find the slope.
m = y₁ - y₂/x₁ - x₂
⇒ m = 7 - 1/6 - 0
⇒ m = 6/6
⇒ m = 1
Now that we know the slope is one, enter the values into the point-slope form equation. I'll use (0, 1) in this instance.
y - y₁ = m(x - x₁)
⇒ y - 1 = 1(x - 0)
⇒ y - 1 = x
⇒ y = x + 1
Therefore, the equation is y = x + 1.
Answer:
All the points on (x - 2)² + (y - 5)² = 100
Step-by-step explanation:
It should be the circle with its center on point (2,5) and radius is 10.
(h , k) : center of circle (2,5) h = 2 k = 5
r: radius r = 10
Circle: (x - h)² + (y - k)² = r²
(x - 2)² + (y - 5)² = 100
