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olga2289 [7]
2 years ago
6

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Mathematics
1 answer:
luda_lava [24]2 years ago
4 0

Both triangles are congruent by either ASA or AAS Congruence Theorem. hence, the right answer is A: Yes, they are congruent by either ASA or AAS.

<h3>What is ASA Congruence Theorem?</h3>

The ASA Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent included sides.

The AAS Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent non-included sides.

Triangle LMQ is shown in the figure attached below.

Thus, Proving

Triangle MNL ≅ triangle QNL (ASA)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <MLN and <QLN

Also, they have a common side: side LN (included side).

Therefore, Triangle MNL and triangle QNL are congruent by ASA.

Triangle MNL ≅ triangle QNL ( by AAS)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <NML and <NQL

Also, they have a common side: side LN (non-included side).

Thus, Triangle MNL and triangle QNL are congruent by ASA.

Hence, the right answer is: A: Yes, they are congruent by either ASA or AAS.

Learn more about the ASA and AAS Congruence Theorem on:

brainly.com/question/2102943

#SPJ1

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What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac
Vaselesa [24]

Hello!

<u><em>Answer:  ⇒⇒⇒⇒⇒⇒⇒ =54</em></u>

_________________________________________________________________

Step-by-step explanation:

First you had to convert element to fraction.

\frac{2}{3}*\frac{81}{1}

Then you had to cross out by the common factor of 3.

\frac{2}{1}=\frac{27}{1}

Multiply by the fraction.

\frac{2*27}{1*1}

Multiply by the number.

2*27=54

=\frac{54}{1*1}

Again multiply by the number.

1*1=1

=\frac{54}{1}

Apply rule.

\frac{54}{1}=54

54 is the right answer.

______________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

_________________________________________________________________

4 0
3 years ago
Decimal And fraction in meters of 8 centimeters
netineya [11]
Ok so
Knowing that 1 metre consists of 100cm,
You can conclude and agree that 8 cm is 8/100, correct?
Now, when converting fractions to decimals, it makes it easier out of 100 or 10. Since it's out of 100 already, you take the amount of zero's in 100 (two) and you move the decimal point (2) places to the <em /><u>left<em /></u> 

This gives you 0.08
So the fraction is 8/100, which then can be simplified to 4/50, then to 2/25
and the decimal is 0.08. 
5 0
3 years ago
What number has two more tens then 11
777dan777 [17]
The answer is 31. 10+10+20+1=31
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3 years ago
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2 years ago
What 4 2/5 as a improper fraction
Neporo4naja [7]

The answer is 22/5


You multiply 5 and 4, which you get twenty, then you add 2 and you get 22. Divide that by 5, and you get 22/5.


To double check, divide 22 by five and you should get 4.4, or 4 2/5 as a fraction

7 0
3 years ago
Read 2 more answers
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