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2 years ago

What are the necessary conditions to apply the SAS triangle congruence theorem?

Mathematics

1 answer:

Gala2k [10]2 years ago

5 0

Answer:

The correct answer is 2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.

Step-by-step explanation:

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

An included angle is an angle formed by two given sides.

So, the correct answer is 2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.

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2 years ago

What ratio is equivalent to 4 : 13? A. 8 : 17 B. 16 : 52 C. 12 : 33 D. 20 : 55

xxTIMURxx [149]

The answer would be b . i know this because if you multiply 4 and 13 by 4 you would get 16 and 52 , so the ration 16 : 52 is equivalent to the ration 4 : 13 .

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3 years ago

Given the conditional statement ~p -> q which statement is logically equivalent?

icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬p ⇒ q ⇔ ¬q ⇒ p

(¬ means the same thing as ~, "not")

To prove this: recall that

p ⇒ q ⇔ ¬p ∨ q

This is because p ⇒ q is true if p is false, or both p and q are true, i.e.

p ⇒ q ⇔ ¬p ∨ (p ∧ q)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

p ⇒ q ⇔ (¬p ∨ p) ∧ (¬p ∨ q)

but ¬p ∨ p is always true, or a tautology, so we're just left with ¬p ∨ q.

Then

¬p ⇒ q ⇔ p ∨ q

… ⇔ q ∨ p

… ⇔ ¬(¬q) ∨ p

… ⇔ ¬q ⇒ p

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3 years ago

A bus touring company charges $10 per passenger, and carries an average of 300 passengers per day. The company estimates it will

erastova [34]

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Step-by-step explanation:

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3 years ago

41.2 x 1.5. Then explain where the decimal point should go and why

Vinil7 [7]

Answer:

This is really simple, here i'll explain:

Step-by-step explanation:

41.2 x 1.5=

count how many spaces are after the decimal point.

for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2

After that, take away the decimal point, and just multiply like you normally would.

412 times 15

this would be 6180

after you do the multiplication, you will add the decimal point.

The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.

Hope this helps!

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3 years ago

Read 2 more answers

What are the necessary conditions to apply the SAS triangle congruence theorem?￼

What are the necessary conditions to apply the SAS triangle congruence theorem?