X=$30
y=$60
1 hour job- 60x1=60+30=90
3 hour job-60x3=180+30=210
the sum of the angles in a triangle = 180°, thus
x +
x +
x = 180
multiply through by 6
6x + 3x + x = 1080
10x = 1080 ( divide both sides by 10 )
x = 108
the angles are 108°, 54° and 18°
Since all the angles are different and the largest is 108°
The triangle is an obtuse scalene triangle
(0.5 liter/bottle) x (6 bottles/pack) = 3 liters/pack
(10 days) x (1.5 liter/day) / (3 liter/pack) = <u>5 packs</u>
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.
Any fraction that does not equal 1/2.