Answer:
11/3 = 3 2/3 ≈ 3.66667
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs:
3x = (1/2)((9x +25) -36)
6x = 9x -11
11 = 3x . . . . . . . add 11-6x
11/3 = x
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The attached figure is drawn to scale.
Answer:
x = -2
Step-by-step explanation:
2(x - 5) - 5x = -4
Distrubute the 2 into the parentheses
2x - 10 - 5x = -4
Add 10
+10 +10
2x - 5x = 6
Simplify
-3x = 6
Divide
÷ -3 ÷ -3
x = -2
Answer:
B is the awnser.
Step-by-step explanation:
cuz it is incorrect.
Answer:
we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Step-by-step explanation:
let the 20% solution = x liters
let the 50% solution = y liters
total solution of the mixture of the two solutions in % = 28%
total solution of the mixture of the two solutions in liters = 75 liters
considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;
20x + 50y = 28 (75)
0.2x + 0.5y = 0.28(75)
0.2x + 0.5y = 21 -------equation 1
Also,
x + y = 75 ------equation 2
y = 75 - x
(substitute this into equation 1)
0.2x + 0.5(75 - x) = 21
0.2x + 37.5 - 0.5x = 21
0.2x - 0.5x = 21 - 37.5
-0.3x = -16.5
x = -16.5 / -0.3
x = 55 liters
Recall, y = 75 - x
y = 75 -55
y = 20 Liters
Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
