Answer:
5
Step-by-step explanation:
Since the two sides of the triangle have equal opposite angles , they will be equal .
Since sides opposite to equal angles are equal.
Using this concept ,
=> 3x -4 = 2x + 1
=> 3x - 2x = 4 + 1
=> x = 5
Answer:
83 cm
Step-by-step explanation:
Let the length of the rectangle be L cm and the width be W cm.
L= 2W +3 -----(1)
Perimeter of rectangle= 2(length) +2(width)
2L +2W= 246 -----(2)
Substitute (1) into (2):
2(2W +3) +2W= 246
Expand:
4W +6 +2W= 246
Simplify:
6W +6= 246
Divide both sides by 6:
W +1= 41
W= 41 -1
W= 40
∴ width of the rectangle is 40cm.
Substitute value of W into (1):
L= 2(40).+3
L= 80 +3
L= 83
Thus, the length of the rectangle is 83 cm.
Labor time = 4 1/2 hours = 4.5 hours
overhead rate = 95% - mostly dependent on labor
retail price of parts = 134.75
total cost of job = 241.98
241.98 - 134.75 = 107.23
107.25 / (4.5 x 1.95) = 107.25 / 8.78 = 12.22 hourly rate
labor : 12.22 x 4.5 = 54.99
overhead: 54.99 x 95% = 52.24
retail price of parts = <u>134.75</u>
total cost of job: 241.98
For simplicity sake, let's call Train A "A" and Train B "B".
A + B = 192
A > B
A - B = 120
192 ÷ 2 = 96
96 ± 120 ÷ 2 = 96 ± 60 = 156, 36
Train A weighs 156 tons and Train B weighs 36 tons :)
Answer:
the answer for that would be 2n^2-7
