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Yakvenalex [24]
3 years ago
14

14 POINTS ASAP WHAT IS THE MEASURE OF ANGLE A

Mathematics
1 answer:
sashaice [31]3 years ago
7 0
Wow...we have lots of numbers to go through.  we know that a 6 sided figure is a hexagon and the interior angles add up to be 720°. so.....

∠A + ∠B + ∠ C + ∠D + ∠E + ∠F = 720°
(x - 60) + (x - 40) + 130 + 120 + 110 + (x - 20) = 720
3x + 240 = 720      (combined all like terms)
3x = 480                (subtracted 240 from both sides)
x = 160                  (divided both sides by 3)

put the value of x into ∠A  (x - 60) = 160 - 60 = 100

∠A = 100°
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dsp73

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Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

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Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

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