Find the angle of 1, which would be the same as angle of 5 (alternate interior angles applicable to parallel lines).
38+<1=180 degrees (<1 just represents angle one)
<1=180-38
<1=142 degrees
Therefore, the angle of 5 is 142 degrees as well.
Hope I helped :)
Answer:
GBJGNYKBGKBHJK6HKHHTNG, BTGDROOTOFKROT H
Step-by-step explanation:
Answer:
x is independent so your can put and number you want
y is dependent so it goes on the right
Step-by-step explanation:
Answer:
The answer is
<h2>
![\frac{84 - 31 \sqrt{6} }{30}](https://tex.z-dn.net/?f=%5Cfrac%7B84%20-%2031%20%5Csqrt%7B6%7D%20%7D%7B30%7D%20)
</h2>
Step-by-step explanation:
<h3>
![\frac{5 \sqrt{3} - 4 \sqrt{2} }{4 \sqrt{3} + 3\sqrt{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20%5Csqrt%7B3%7D%20-%204%20%5Csqrt%7B2%7D%20%20%7D%7B4%20%5Csqrt%7B3%7D%20%20%2B%20%203%5Csqrt%7B2%7D%20%7D%20)
</h3>
To rationalize the denominator multiply both the numerator and the denominator by
4√3 - 3√2
That's
<h3>
![\frac{5 \sqrt{3} - 4\sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \times \frac{4 \sqrt{3} - 3 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20%5Csqrt%7B3%7D%20-%20%204%5Csqrt%7B2%7D%20%20%7D%7B4%20%5Csqrt%7B3%7D%20%20%2B%203%20%5Csqrt%7B2%7D%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%20%5Csqrt%7B3%7D%20-%203%20%5Csqrt%7B2%7D%20%20%7D%7B4%20%5Csqrt%7B3%7D%20%20-%203%20%5Csqrt%7B2%7D%20%7D%20)
</h3>
So we have
<h3>
![\frac{(5 \sqrt{3} - 4 \sqrt{2})(4 \sqrt{3} - 3 \sqrt{2}) }{(4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) } \\ = \frac{60 - 15 \sqrt{6} - 16 \sqrt{6} + 24 }{16(3) - 9(2)} \\ = \frac{84 - 15 \sqrt{6} - 16 \sqrt{6} }{48 - 18} \\ = \frac{84 - 31 \sqrt{6} }{48 - 18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%285%20%5Csqrt%7B3%7D%20-%204%20%5Csqrt%7B2%7D%29%284%20%5Csqrt%7B3%7D%20%20-%203%20%5Csqrt%7B2%7D%29%20%20%20%7D%7B%284%20%5Csqrt%7B3%7D%20%20%2B%203%20%5Csqrt%7B2%7D%20%29%284%20%5Csqrt%7B3%7D%20%20-%203%20%5Csqrt%7B2%7D%20%29%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B60%20-%2015%20%5Csqrt%7B6%7D%20-%2016%20%5Csqrt%7B6%7D%20%2B%2024%20%20%7D%7B16%283%29%20-%209%282%29%7D%20%20%5C%5C%20%20%20%3D%20%20%5Cfrac%7B84%20-%2015%20%5Csqrt%7B6%7D%20%20-%2016%20%5Csqrt%7B6%7D%20%7D%7B48%20-%2018%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B84%20-%2031%20%5Csqrt%7B6%7D%20%7D%7B48%20-%2018%7D%20)
</h3>
We have the final answer as
<h3>
![\frac{84 - 31 \sqrt{6} }{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B84%20-%2031%20%5Csqrt%7B6%7D%20%7D%7B30%7D%20)
</h3>
Hope this helps you
<span>x^2 - 6x = 14
-6
divided by 2 =
-3
then squared =
9
</span><span>x^2 - 6x +9 = 14 +9
(x -3)^2 = 23
answer is B
Source:
http://www.1728.org/quadr2.htm
</span>