Answer:
w = 9
x = 12
y = 5
z = 3
Step-by-step explanation:
The corresponding sides of similar polygons are proportional.
Therefore:
![\frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bw%7D%7B3%7D%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%5Cfrac%7B15%7D%7By%7D%20%3D%20%5Cfrac%7B9%7D%7Bz%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Solve for each variable as follows:
✔️![\frac{w}{3} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bw%7D%7B3%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Multiply both sides by 3
![w = \frac{6}{2} \times 3](https://tex.z-dn.net/?f=%20w%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%5Ctimes%203%20)
![w = 3 \times 3](https://tex.z-dn.net/?f=%20w%20%3D%203%20%5Ctimes%203%20)
![w = 9](https://tex.z-dn.net/?f=%20w%20%3D%209%20)
✔️![\frac{x}{4} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Multiply both sides by 4
![x = \frac{6}{2} \times 4](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%5Ctimes%204%20)
![x = 3 \times 4](https://tex.z-dn.net/?f=%20x%20%3D%203%20%5Ctimes%204%20)
![x = 12](https://tex.z-dn.net/?f=%20x%20%3D%2012%20)
✔️![\frac{15}{y} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7By%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Cross multiply
![y \times 6 = 2 \times 15](https://tex.z-dn.net/?f=%20y%20%5Ctimes%206%20%3D%202%20%5Ctimes%2015%20)
![6y = 30](https://tex.z-dn.net/?f=%206y%20%3D%2030%20)
Divide both sides by 6
![y = 5](https://tex.z-dn.net/?f=%20y%20%3D%205%20)
✔️![\frac{9}{z} = \frac{6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7Bz%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20)
Cross multiply
![z \times 6 = 2 \times 9](https://tex.z-dn.net/?f=%20z%20%5Ctimes%206%20%3D%202%20%5Ctimes%209%20)
![6z = 18](https://tex.z-dn.net/?f=%206z%20%3D%2018%20)
Divide both sides by 6
![z = 3](https://tex.z-dn.net/?f=%20z%20%3D%203%20)
Answer:
$120
explanation:
160(0.75)=120
It will cost you 97 cents per bottle. All you need to do is divide 3.88 by 4.
Answer:
![3\sqrt{7}](https://tex.z-dn.net/?f=3%5Csqrt%7B7%7D)
Step-by-step explanation:
Answer:
A is parallel to the line below (same slope)
Step-by-step explanation:
(1 - -5)/(-4 - 2) = 6/-6 = -1
y = mx + b
1 = -1(-4) + b
-3 = b
y = -x -3