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STALIN [3.7K]
2 years ago
6

A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr

ue?​

Mathematics
1 answer:
Hoochie [10]2 years ago
6 0

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

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Step-by-step explanation:

We need to find roots of the polynomial equation: x^3-5x+5=2x^2-5

Solving the polynomial to find roots:

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So, roots of the polynomial x^3-5x+5=2x^2-5 are x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2

Keywords: Roots of Polynomial

Learn more about Roots of Polynomial at:

  • brainly.com/question/2568692
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  • brainly.com/question/1332667
  • brainly.com/question/2364381

#learnwithBrainly

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