I think number 9 is acute
number 10 is obtuse
number 11 is obtuse
number 12 is acute
The answer is 10.5 because the equation is 2x+8=29
Answer:
A. $ 58.50
B. $ 80
C. No, it did not mark up 30%.
Step-by-step explanation:
Since,
![\text{Mark up percentage}=\frac{\text{Store price-Actual price}}{\text{Actual price}}\times 100](https://tex.z-dn.net/?f=%5Ctext%7BMark%20up%20percentage%7D%3D%5Cfrac%7B%5Ctext%7BStore%20price-Actual%20price%7D%7D%7B%5Ctext%7BActual%20price%7D%7D%5Ctimes%20100)
A. We have,
Mark up percentage = 30%
Actual price = $ 45,
![\implies 30=\frac{SP - 45}{45}\times 100](https://tex.z-dn.net/?f=%5Cimplies%2030%3D%5Cfrac%7BSP%20-%2045%7D%7B45%7D%5Ctimes%20100)
![30\times 45 = 100SP - 4500](https://tex.z-dn.net/?f=30%5Ctimes%2045%20%3D%20100SP%20-%204500)
![1350=100SP - 4500](https://tex.z-dn.net/?f=1350%3D100SP%20-%204500)
![5850 = 100SP](https://tex.z-dn.net/?f=5850%20%3D%20100SP)
![\implies SP = \$ 58.50](https://tex.z-dn.net/?f=%5Cimplies%20SP%20%3D%20%5C%24%2058.50)
B. We have,
SP = $ 104,
![\implies 30=\frac{104-AP}{AP}\times 100](https://tex.z-dn.net/?f=%5Cimplies%2030%3D%5Cfrac%7B104-AP%7D%7BAP%7D%5Ctimes%20100)
![30AP = 10400 - 100AP](https://tex.z-dn.net/?f=30AP%20%3D%2010400%20-%20100AP)
![130AP=10400](https://tex.z-dn.net/?f=130AP%3D10400)
![AP=\$ 80](https://tex.z-dn.net/?f=AP%3D%5C%24%2080)
C. We have,
AP = $ 75,
SP = $100,
Thus, mark up percentage = ![\frac{100-75}{75}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B100-75%7D%7B75%7D%5Ctimes%20100)
![=\frac{25}{75}\times 100](https://tex.z-dn.net/?f=%3D%5Cfrac%7B25%7D%7B75%7D%5Ctimes%20100)
![=\frac{1}{3}\times 100](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20100)
= 33.33 %
Hence, store did not mark up the price by 30%.
When two lanes intersect their will be 2 angles