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sashaice [31]
2 years ago
10

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 ar

e congruent because they are vertical angles. Then, by which property are angles 4 and 5 congruent? Together, these statements prove which theorem? A) Transitive Property of Congruency; If parallel lines have a transversal, then supplemental angles are congruent. B) Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent. C) Symmetric Property of Congruency; If parallel lines have a transversal, then alternate exterior angles are congruent. D) Commutative Property of Congruency; If parallel lines have a transversal, then same side interior angles are congruent.
Mathematics
2 answers:
tiny-mole [99]2 years ago
7 0

Answer:

Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent.

The Transitive Property of Congruency:

If 2 angles are congruent to a third angle, then they are congruent to each other. So, since angles 4 and 5 are both congruent to angle 1, they are congruent to each other.

Angles 4 and 5 are alternate interior angles. Therefore, if parallel lines have a transversal, alternate interior angles are congruent.

Makovka662 [10]2 years ago
6 0

Answer:

Option B)

Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

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Nuetrik [128]

Answer:

since you didn't put the answer choices, this is what I know...

4 to the 5 power is 1024

it can be written as:

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Step-by-step explanation:

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2 years ago
Linda owns 4 shares of a certain stock. Yesterday the total value of her shares went down by 32 dollars. What was the change in
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Answer:

The value of each share decreased by $8.

Step-by-step explanation:

Number of shares of a certain stock Linda owned = 4

Total value of shares went down by = $32

So find the change in value of each share.

Solution:

Let the total value of each share in dollars be = x

Value of 4 shares in dollars will be = 4x

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So, new value of 4 shares = 4x-32

New value of each share = \frac{New\ value\ of\ total\ shares}{4}

⇒ \frac{4x-32}{4}

Splitting the denominators.

⇒ \frac{4x{{4}-\frac{32}}{4}

⇒ x-8

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Step-by-step explanation:

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