9514 1404 393
Answer:
(b) 49°, 59°, 72°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°. The only answer choice with that sum is the second one.
49°, 59°, 72°
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
54: 1, 2, 3, 6, 9, 18, 27, 54
gcf: 6
Pretty sure you already had something posted about this... in case you've lost it, or have questions:
#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
![\sqrt{12-(-4)} = \sqrt{16} = \frac{+}{}4](https://tex.z-dn.net/?f=%20%5Csqrt%7B12-%28-4%29%7D%20%3D%20%5Csqrt%7B16%7D%20%3D%20%5Cfrac%7B%2B%7D%7B%7D4)
Extraneous root in this case is positive four since +4≠-4
<span>
![\sqrt{12-3} = \sqrt{9} = \frac{+}{}3](https://tex.z-dn.net/?f=%20%5Csqrt%7B12-3%7D%20%3D%20%5Csqrt%7B9%7D%20%3D%20%5Cfrac%7B%2B%7D%7B%7D3)
</span>In this case it's negative 3, since -3≠3
#29 can be turned into a quadratic equation.
![x= \sqrt{2x+3}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%7B2x%2B3%7D)
Square both sides to get
![x^{2}=2x+3](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D2x%2B3)
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
![x^{2}-2x-3=0](https://tex.z-dn.net/?f=%20x%5E%7B2%7D-2x-3%3D0)
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
<span>
![x= \sqrt{2x+3}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%7B2x%2B3%7D)
</span><span>
![3= \sqrt{2(3)+3}](https://tex.z-dn.net/?f=3%3D%20%5Csqrt%7B2%283%29%2B3%7D)
</span><span>
![3= \sqrt{9}](https://tex.z-dn.net/?f=3%3D%20%5Csqrt%7B9%7D)
</span>Extraneous root would be negative 3.
<span>
![-1= \sqrt{2(-1)+3}](https://tex.z-dn.net/?f=-1%3D%20%5Csqrt%7B2%28-1%29%2B3%7D)
</span><span>
![-1= \sqrt{1}](https://tex.z-dn.net/?f=-1%3D%20%5Csqrt%7B1%7D)
</span>Extraneous root would be positive 1.
Your answers are positive 3 and negative 1.
<span>Extraneous roots are negative 3 and positive 1.</span>
So if seven is 7, and its 7+k=blah blah blahAnd the first number there was is 7.5 so k+7=7.5 k is 0.5
Answer:
144=2x2x2x2x3x3
Step-by-step explanation: