Answer:
the second option
Step-by-step explanation:
the SSS congruence postulate would be used
If slope of a line is m then slope of the perpendicular line is -1/m .
so slope of perpendicular line is -3.
then use this y-y0=m(x-x0)
y+5=-3(x-2)
y+5=-3x+6
y=-3x+1
Answer:
A ) The Equation of the circle (x−10)2+(y−24)2=676
Step-by-step explanation:
step1:-
The equation of the circle whose center is (a,b) and radius r is
![(x-a)^{2} +(y-b)^{2} =r^{2}](https://tex.z-dn.net/?f=%28x-a%29%5E%7B2%7D%20%2B%28y-b%29%5E%7B2%7D%20%3Dr%5E%7B2%7D)
![(x-10)^{2}+(y-24)^{2} =676](https://tex.z-dn.net/?f=%28x-10%29%5E%7B2%7D%2B%28y-24%29%5E%7B2%7D%20%20%3D676)
in this circle equation centre is (g,f) = (10,24)
and formula of radius of a circle is
r = ![\sqrt{g^{2}+f^{2} -c }](https://tex.z-dn.net/?f=%5Csqrt%7Bg%5E%7B2%7D%2Bf%5E%7B2%7D%20-c%20%7D)
Step2:-
The Equation of the circle (x−10)^2+(y−24)^2=676
Given :
a restaurant customer left a $1.95 as a tip.
The tax = 5%
the tip was 15% of the after-tax cost
So, the information that not needed is the tax
Let the total bill = x
so, 15% of x = 1.95
![\begin{gathered} 0.15\cdot x=1.95 \\ \\ x=\frac{1.95}{0.15}=13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200.15%5Ccdot%20x%3D1.95%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B1.95%7D%7B0.15%7D%3D13%20%5Cend%7Bgathered%7D)
so, the total bill = $13