Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
Answer:x=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants = ![\frac{1}{2}(Major arc - minor arc )](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28Major%20arc%20-%20minor%20arc%20%29)
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :
![x=\frac{1}{2}(360-x-x)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%28360-x-x%29)
![x=\frac{1}{2}(360-2x)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%28360-2x%29)
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
Think of it this way: from -8 to 0 and then from 0 to 14 (degrees F).
+8 + +14
this works out to +22 degrees F.
So first you would put these over a common denominator which is 96. You get this by multiplying by 9 and what you do to the denominator you must do to the numerator so you then get 45/96 and 63/96. Pelicans=45/96. Woodpeckers=63/96
So 700 is 35%
700/35 is x/100
X= 2000