The factors of rty are
1, r, t, y,
rt, ry, ty, rty
Answer:
50 degrees.
Step-by-step explanation:
Angle FGE =
because angles on a straight line add up to 180 degrees.
Angle EFG =
(Angles in a triangle add up to 180)
![180-38-\left(-7x+162\right)=6x-10](https://tex.z-dn.net/?f=180-38-%5Cleft%28-7x%2B162%5Cright%29%3D6x-10)
![180-38+7x-162=6x-10](https://tex.z-dn.net/?f=180-38%2B7x-162%3D6x-10)
![7x-20=6x-10](https://tex.z-dn.net/?f=7x-20%3D6x-10)
Add 20 to both sides:
![7x-20+20=6x-10+20](https://tex.z-dn.net/?f=7x-20%2B20%3D6x-10%2B20)
![7x=6x+10](https://tex.z-dn.net/?f=7x%3D6x%2B10)
Subtract 6x from both sides:
![7x-6x=6x+10-6x](https://tex.z-dn.net/?f=7x-6x%3D6x%2B10-6x)
![x=10](https://tex.z-dn.net/?f=x%3D10)
Angle ![EFG=6x-10=6(10)-10=60-10=50](https://tex.z-dn.net/?f=EFG%3D6x-10%3D6%2810%29-10%3D60-10%3D50)
It is 10 times as much as .008
Do you see the pattern?
Answer:
It costs $42.43
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of
kilogram of candy is $7.5
- We need to find the cost of
kilogram
We can use the ratio to find the answer
======= Dollar : Kilogram
======= 7.5 : ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
======= c :
By using cross multiplication
∴ c ×
= 7.5 × ![4\frac{5}{7}](https://tex.z-dn.net/?f=4%5Cfrac%7B5%7D%7B7%7D)
∵
= ![\frac{4*7+5}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2A7%2B5%7D%7B7%7D)
∴
= ![\frac{33}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B7%7D)
∴ c ×
= 7.5 × ![\frac{33}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B7%7D)
∴ c ×
= ![\frac{495}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B495%7D%7B14%7D)
Divide both sides by ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
∴ c =
÷ ![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c =
×
∴ c =
= 42.43 dollars
∵ c represents the cost of
kg
∴ It costs $42.43