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Leno4ka [110]
3 years ago
12

Cet. Factor and Solve. x^2 + 3x - 18 = 0 - Ready? Enter your answer

Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer:

x = 3  or  x = - 6

Step-by-step explanation:

Factor and Solve. x^2 + 3x - 18 = 0

We can use the Diamond method of factoring.

Factor -18 = 6 * -3;    and  3 = 6 + -3

so

x^2 + 3x - 18 = x^2 -3x + 6x - 18  = 0

= (x^2 -3x)   +  ( 6x - 18)  = 0

= (x^2 -3x)   +  ( 6x - 18)  = 0

= x(x - 3)  + 6*(x - 3) =0

= (x - 3)*(x + 6) = 0

so  Either  x - 3 = 0   or   x + 6 = 0

x = 3  or  x = - 6

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Answer:

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Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

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subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

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adding 11 to both sides

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dvide both sides by 4

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Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
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