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dybincka [34]
3 years ago
10

Solve for x/2=17 a.x=34 b.x=8.5 c.x=15 d.x=19

Mathematics
1 answer:
Sidana [21]3 years ago
4 0
A. x=34

2 x 17 = 34
34/2 = 17
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<h3>Given</h3>
  • ∠AOB = ∠COD = x² -2
  • ∠BOC = 2x -10
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<h3>Find</h3>
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  • the measures of the angles
<h3>Solution</h3>

Substituting the given values of the angles into the given relaion, we get ...

... (x² -2) + (2x -10) + (x² -2) = 16x +2

... 2x^2 -14x -16 = 0 . . . . . subtract the right side (16x+2)

... 2(x +1)(x -8) = 0 . . . . . . .factor

Values of x that satisfy this equation are ...

... x = -1, x = 8

The value x = -1 does not give rise to positive angle values.

For x = 8, the angles are ...

... ∠AOB = ∠COD = 8²-2 = 62

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