Answer:
The perimeter of parallelogram WXYZ is 2√5 + 2√17 units or also known as about 12.72 units.
Step-by-step explanation:
In the diagram, we have a parallelogram. A parallelogram is a shape with two pairs of congruent sides. So, this means that we only need to find the measurement of two sides. From there, we are going to multiply those individual measurements by 2 because both has another side that is congruent to them. Lastly, we will add up all of the measurements to find the perimeter.
We can find the lengths by using the distance formula.
![d=\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_2%29%5E2%7D)
Let's find the length of WX.
![WX=\sqrt{(4-0)^2+(0-(-1))^2}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B%284-0%29%5E2%2B%280-%28-1%29%29%5E2%7D)
![WX=\sqrt{((4)^2+(1)^2)}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B%28%284%29%5E2%2B%281%29%5E2%29%7D)
![WX=\sqrt{16+1}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B16%2B1%7D)
![WX=\sqrt{17}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B17%7D)
Now, we multiply this number by 2 because ZY is congruent to this side.
<em>√17 × 2 = 2√17</em>
Now, let's find the length of WZ.
![WZ=\sqrt{(0-(-1))^2+(-1-(-3))^2}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B%280-%28-1%29%29%5E2%2B%28-1-%28-3%29%29%5E2%7D)
![WZ=\sqrt{(1)^2+(2)^2}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B%281%29%5E2%2B%282%29%5E2%7D)
![WZ=\sqrt{1+4}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B1%2B4%7D)
![WZ=\sqrt{5}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B5%7D)
Now, we multiply this number by 2 because XY is congruent to this side.
<em>√5 × 2 = 2√5</em>
Now, we add these numbers together to get the perimeter.
<em>2√5 + 2√17 = 12.72</em>
Answer: Yes 1/12 is the same as 1 ÷ 12
decimal form is 0.083333333333333333(3 is repeating)
Step-by-step explanation:
Answer: 5400 dollars
Step-by-step explanation: 600x.75 then 450x12
Answer:
Step-by-step explanation:
The slope formula is
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The slope intercept form of a line is
y = mx + b
The standard form of a line is
Ax + By = C
The point-slope form of a line is
y - y1 = m(x - x1)