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ludmilkaskok [199]
3 years ago
10

Can you use the ASA postulate or the AAS theorem to prove the triangles congruent

Mathematics
2 answers:
Alex777 [14]3 years ago
8 0
I believe that the answer is AAS, since the side is not included between the two angles. 
Mariana [72]3 years ago
4 0

Answer: AAS theorem

Step-by-step explanation:

In the given figure , we have two triangles having one vertex common .

Since the vertical angles are always congruent.

i.e. ∠3≅∠4

So we have , two pairs of congruent angles .

∠1≅∠2   {given}

∠3≅∠4    [Vertical angles are congruent]

Also, one pair of non-included sides are given to be congruent.

By AAS theorem , we have both the  triangles congruent.

  • AAS theorem says that if two angles and any side of a triangle are congruent to two corresponding angles and any side of other triangle then we say the triangles are congruent.

We cannot apply ASA postulate because it is for two angles and one included side.

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we know that

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Step 1

Find the  bear’s average heart rate when it’s active

Let

A(1.5,90)   B ( 2,120)

the slope is equal to

m=(y2-y1)/(x2-x1)

m=(120-90)/(2-1.5)=30/0.5

m=60 heartbeats/min

therefore

the answer part a) is

the bear’s average heart rate when it’s active is 60 heartbeats/min

Step 2

Find the  bear’s average heart rate when it’s hibernating

Let

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the slope is equal to

m=(y2-y1)/(x2-x1)

m=(24-18)/(2-1.5)=6/0.5

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therefore

the answer part b) is

the bear’s average heart rate when it’s hibernating is 12 heartbeats/min


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Step-by-step explanation:

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the length of the fish tank is  length=13cm . Correct option is A)

<u>Step-by-step explanation:</u>

Here we have , Peter has just purchased a small rectangular fish tank that holds 910 milliliters of water. The tank has a width of 7 cm and a height of 10 cm.  We need to find What is the length of the fish tank . Let's find out:

The fish tank is in the shape of cuboid , and we know that volume of cuboid :

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Now , according to question we have following parameters :

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