If two cords are the same distance from the center of a circle than both cords are congruent
2/3x -14/3 = -2 -foiled
2/3x = -6/3 +14/3 -common denominator
2/3x = 8/3
x = 8/3 * 3/2
x = 24/6
x= 4
√84= √4•√21= final answer is
±2√21
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.
Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)
Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
-5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115
Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour