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3 years ago

Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°.

Mathematics

2 answers:

Butoxors [25]3 years ago

7 0

Answer:

A Alternate interior angles of parallel lines are congruent

Step-by-step explanation:

The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)

pogonyaev3 years ago

6 0

Answer:

<h2>A . Alternate interior angles of parallel lines are congruent</h2>

Step-by-step explanation:

If you observe the image, the statement that Janet wants to justify is

$\angle 1 \cong \angle A$

$\angle 3 \cong \angle C$

According to the given graph, these angles are inside parallels because $DE \parallel AC$ by given, and these angles are at different sides of the transversals $BA$ and $BC$ , those position define Alternate Interior Angles, which by theorem they are congruent.

Therefore, the right reason of such congruence is

<em> A . Alternate interior angles of parallel lines are congruent.</em>

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3 years ago

Read 2 more answers

Ven Diagrams with union and intersection problems shading in diagram

Anika [276]

Answer:

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Step-by-step explanation:

This is a two-circle Venn diagram. The 1st circle is A, and the 2nd circle is B. The complete Venn diagram represents the union of A and B, or A ∪ B.

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A small ∁

(sometimes denoted as ~A or ¬A)

is pronounced as: "A complement" (or "not A", for the other notations)

means: the new set gets everything that is in the universe but is outside of A; it's okay if the element is in B, just so long as it is not also in A

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my answer: = A ∁ ={3,4}

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A – B = {1}

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(4) elements here are just the remainder my answer: my answer:(A∪B)={4}

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3 years ago

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ehidna [41]

Answer:

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Step-by-step explanation:

a² - b² = (a +b)(a - b)

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{ (n + y) in the denominator and numerator will be cancelled ;

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