Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
Answer: z=0
Step-by-step explanation:
W=zr-2zt^3
Move all terms containing z to the left, all other terms to the right.
dd '-1rz' to each side of the equation.
-1rz+z=rz+-1rz+-2t^3z
Combine like terms: rz + -1rz = 0
-1rz+z=0+(-2t^3z)
-1rz+z=-2t^3z
Add 2t^3z to each side
-1rz+2t^3z+z=-2t^3z+2t^3z
Combine the like terms 2t^3z+2t^3z=0
-1rz+2t^3z+z=0
Factor out the Greatest Common Factor (GCF), 'z'.
z(-1r+2t^3+1)=0
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Answer:
I think it would be 65 degrees
Step-by-step explanation:
If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.
Using the distance formula,
![AD=\sqrt{(-1-3)^{2}+(-3-(-4))^{2}}=\sqrt{17}\\\\BC=\sqrt{(5-9)^{2}+(1-0)^{2}}=\sqrt{17} \\\\\therefore \overline{AD} \cong \overline{BC}](https://tex.z-dn.net/?f=AD%3D%5Csqrt%7B%28-1-3%29%5E%7B2%7D%2B%28-3-%28-4%29%29%5E%7B2%7D%7D%3D%5Csqrt%7B17%7D%5C%5C%5C%5CBC%3D%5Csqrt%7B%285-9%29%5E%7B2%7D%2B%281-0%29%5E%7B2%7D%7D%3D%5Csqrt%7B17%7D%20%5C%5C%5C%5C%5Ctherefore%20%5Coverline%7BAD%7D%20%5Ccong%20%5Coverline%7BBC%7D)
![AB=\sqrt{(-1-5)^{2}+(-3-1)^{2}}=\sqrt{52}=2\sqrt{13}\\\\CD=\sqrt{(9-3)^{2}+(0-(-4))^{2}}=\sqrt{52}=2\sqrt{13}\\\\\therefore \overline{AB} \cong \overline{CD}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28-1-5%29%5E%7B2%7D%2B%28-3-1%29%5E%7B2%7D%7D%3D%5Csqrt%7B52%7D%3D2%5Csqrt%7B13%7D%5C%5C%5C%5CCD%3D%5Csqrt%7B%289-3%29%5E%7B2%7D%2B%280-%28-4%29%29%5E%7B2%7D%7D%3D%5Csqrt%7B52%7D%3D2%5Csqrt%7B13%7D%5C%5C%5C%5C%5Ctherefore%20%5Coverline%7BAB%7D%20%5Ccong%20%5Coverline%7BCD%7D)
Since ABCD has two pairs of opposite congruent sides, it is a parallelogram.