Answer:
a: $392.28
b: $112.08
Step-by-step explanation:
The decimal form of 40% is 0.4. Multiply 0.4 by 280.20, and you get 112.08
Because it is a markup, you add this 112.08 to your original price, 280.20
280.20+112.08=392.28
Your answer to letter a is $392.28
The rate of the markup is how much was added, so 112.08
Answer:
Step-by-step explanation:
hope this helps you
112.50 divided by 15 is 7.5= 7.50 so 7.50 times 10 is $75.00 so answer is $75.00
Answer:
40°, 95°, 105°, and 160°
Step-by-step explanation:
Let the smallest angle be x.
Measures of the 3 angles can be expressed as:
![x + 55](https://tex.z-dn.net/?f=%20x%20%2B%2055%20)
![x + 65](https://tex.z-dn.net/?f=%20x%20%2B%2065%20)
![x + 120](https://tex.z-dn.net/?f=%20x%20%2B%20120%20)
The sum of all angles in a quadrilateral = 360°.
Therefore, ![(x + 55) + (x + 65) + (x + 120) = 360](https://tex.z-dn.net/?f=%20%28x%20%2B%2055%29%20%2B%20%28x%20%2B%2065%29%20%2B%20%28x%20%2B%20120%29%20%3D%20360%20)
Solve for x
![x + 55 + x + 65 + x + 120 = 360](https://tex.z-dn.net/?f=%20x%20%2B%2055%20%2B%20x%20%2B%2065%20%2B%20x%20%2B%20120%20%3D%20360%20)
![3x + 240 = 360](https://tex.z-dn.net/?f=%203x%20%2B%20240%20%3D%20360%20)
![3x + 240 - 240 = 360 - 240](https://tex.z-dn.net/?f=%203x%20%2B%20240%20-%20240%20%3D%20360%20-%20240%20)
![3x = 120](https://tex.z-dn.net/?f=%203x%20%3D%20120%20)
![\frac{3x}{3} = \frac{120}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3%7D%20%3D%20%5Cfrac%7B120%7D%7B3%7D%20)
![x = 40](https://tex.z-dn.net/?f=%20x%20%3D%2040%20)
The smallest angle = 40°
Plug in the value of x in the earlier stated expressions to find the measure of the other angles:
![x + 55 = 40 + 55 = 95](https://tex.z-dn.net/?f=%20x%20%2B%2055%20%3D%2040%20%2B%2055%20%3D%2095%20)
![x + 65 = 40 + 65 = 105](https://tex.z-dn.net/?f=%20x%20%2B%2065%20%3D%2040%20%2B%2065%20%3D%20105%20)
![x + 120 = 40 + 120 = 160](https://tex.z-dn.net/?f=%20x%20%2B%20120%20%3D%2040%20%2B%20120%20%3D%20160%20)