Answer:
\sqrt{6}
Explanation:
From the given diagram,
Hypotenuse sde = x
Opposite side = \sqrt{3}
Using the SOH CAH TOA identity
Sintheta = opposite/hypotenuse
Sin 45 = \sqrt{3}/x
x = \sqrt{3}/sin45
![\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csin%2045%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%5B%5D%7B2%7D%7D%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%5E%7B%7D%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is \sqrt{6}
Answer:
x = 127 degrees
Step-by-step explanation:
The sum of the interior angles is (n-2)180, so in this case it would be
(6-2)180
(4)180
720
Then you can substitute the given angle measurements to get the equation:
112+133+128+100+120+x = 720
593+x = 720
x = 127
9514 1404 393
Answer:
b = √32
Step-by-step explanation:
The Pythagorean theorem tells you the relation between the side lengths is ...
2² + b² = 6²
b² = 36 -4 = 32
b = √32
_____
<em>Additional comment</em>
This radical can be simplified by removing a square from under the radical.

The answer is here. Hope I did help you.
Answer:
$9.00
Step-by-step explanation:
If the price is at 30% discount, this means it is 100-30 = 70% of the original price.

Hence, original price is $9.00.