Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:$20250
Step-by-step explanation:
6.5% of 30000
6.5/100 x 30000
(6.5 x 30000)/100
195000/100=1950
First year depreciation 30000-1950=28050
Second year=28050-1950=26100
Third year=26100-1950=24150
Fourth year=24150-1950=22200
Fifth year=22200-1950=20250
Answer:
4x² -20x +61
Step-by-step explanation:
the quadratic equation can be written as (x-root1)(x-root2)
(x-(5/2) -3i) (x-(5/2)+3i), distribute
x² -(5/2)x +3xi -(5/2)x + 25/4 -(15/2)i -3xi +(15/2)i -9i², simplify
x² -(5/2)x -(5/2)x + 25/4 -9i², use the fact that i² =(√-1)² = -1 and substitute i²
x² -(5/2)x -(5/2)x + 25/4 +9, combine like terms and rewrite 9 as 36/4
x² -(10/2)x +25/4 + 36/4, combine like terms and simplify
x² -5x +61/4 is the quadratic expression yet it does not have integer coefficients so multiply by 4 to have all coefficients integers
4x² -20x +61
Home to 1st base = 90 ft
1st base to 2nd base = 90 ft
2nd base to 3rd base = 90 ft
3rd base to home = 90 ft
so we have a total of : (90 * 4) = 360 ft
there are 3 ft in 1 yd....
so in 360 ft, there are : 360/3 = 120 yds <==
or u could just figure it between each base....90 ft = (90/3) = 30 yds per base...and u have 4 bases....so that (4 * 30) = 120 yds
Answer:
Point 1: (-5.03, 0.001)
Point 2: (0, 0.333)
Point 3: (3.068, 9.698)
Step-by-step explanation: