4 because 2 shoes for each stock pair and 4 × 2 = 8
Answer:
x = 30 ∠A = 132 degrees
Step-by-step explanation:
Set the equations equal to each other to solve for x
5x - 18 = 3x + 42
-3x - 3x Subtract 3x from both sides
2x - 18 = 42
+ 18 + 18 Add 18 to both sides
2x = 60 Divide both sides by 2
x = 30
Now plug this into the equation for angle A
∠A = 5(30) − 18 Multiply
∠A = 150 - 18 Subtract
∠A = 132 degrees
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Answer:
60°
Step-by-step explanation:
ABCO is a parallelogram (opposite sides are parallel).
AO is equal to the radius of the circle, so BC must also equal the radius.
CO is equal to the radius of the circle, so AB must also equal the radius.
If we draw a line from O to B, we split the parallelogram into two triangles. Since OB is equal to the radius of the circle, each triangle is an equilateral triangle. Therefore, angle A is 60°.
Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12
