i beleive that the answer is 96 because i think that you have to multiply 8,6,and 2 together but dont trust me because that seems to easy
Answer:
x = 10
Step-by-step explanation:
First, distribute:
![\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20x%20-%20%5Cfrac%7B2%7D%7B5%7D%20%3D%5Cfrac%7B1%7D%7B10%7D%20x%2B%5Cfrac%7B6%7D%7B10%7D)
Next, subtract
from both sides:
![-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7B10%7D%20x%20-%5Cfrac%7B1%7D%7B5%7D%20x%2B%5Cfrac%7B6%7D%7B10%7D)
(multiply
by 2 to get common denominator,
)
![-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7D%20%3D-%5Cfrac%7B1%7D%7B10%7Dx%20%2B%5Cfrac%7B6%7D%7B10%7D)
Next, subtract
from both sides:
![-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7D%20-%5Cfrac%7B6%7D%7B10%7D%20%3D-%5Cfrac%7B1%7D%7B10%7D%20x)
(multiply
by 2 to get common denominator,
)
⇒ ![-1=-\frac{1}{10} x](https://tex.z-dn.net/?f=-1%3D-%5Cfrac%7B1%7D%7B10%7D%20x)
Next, multiply both sides by 10:
![-10=-x](https://tex.z-dn.net/?f=-10%3D-x)
FInally, divide both sides by -1:
x = 10
Answer:
Step-by-step explanation:
Given triangle ABC is a right triangle.
m∠ACB = 60°
m∠CAB = 30°
m(AC) = 1 unit
A). Shorter side of the given triangle = Side BC
By applying cosine rule,
cos(∠C) = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
cos(60°) = ![\frac{BC}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAC%7D)
BC = ![\frac{1}{2}(AC)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28AC%29)
BC = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Length of the shorter side = 0.5 units
B). Longer side of the given triangle = side AB
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
1² = AB² + ![(\frac{1}{2})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5E2)
1 = AB² + ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
AB = ![\sqrt{1-\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%5Cfrac%7B1%7D%7B4%7D%7D)
AB = ![\sqrt{\frac{3}{4}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B3%7D%7B4%7D%7D)
AB = ![\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
Length of the longer side = ![\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
Answer:
common endpoint
Step-by-step explanation: