The answer is 3 29/36
5 3/12 = 5 9/36
1 4/9 = 1 16/36
So the answer equation is 5 9/36 - 1 16/36
down: 4 45/36 - 1 16/36 = 3 29/36
I HOPE THIS HELPS
Answer:
what? I don't get it?
Step-by-step explanation:
Answer: ![x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cpm%20k%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ck%3D%5C%7B0%2C1%2C2%2C...%5C%7D)
Step by step:
![1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}](https://tex.z-dn.net/?f=1%20%2B%205%5Csin%5E2x%3D%207%5Csin%5E2x%5C%5C%5Csin%5E2%20x%5Crightarrow%20z%5C%5C1%20%2B%205z%20%3D%207z%5C%5C2z%20%3D%201%5C%5Cz%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Cimplies%20%5Csin%5E2%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%7C%5Csin%20x%7C%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5C%5C%5Csin%20x%20%3D%20%5Cpm%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cpm%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5C%5C%5Cimplies%20x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cpm%20k%5Cfrac%7B%5Cpi%7D%7B2%7D%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2Ck%3D%5C%7B0%2C1%2C2%2C...%5C%7D)
(Used a table of common angles)
The answer is 78 because when you add all the numbers it equals 780 and you need to divide the end sum by the amount of numbers added to get it. So in the end there were 10 numbers added to equal 780 so 780\10 equals 78
ΔACD is similar to ΔBCD by AA similarity theorem
AD/AC = BD/BC
x/5 = 4.2/6
6x = 21
x = 3.5
Hope this helps! ;)