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Nat2105 [25]
2 years ago
13

Given: Line A R bisects ∠BAC; AB = AC

Mathematics
1 answer:
Nadya [2.5K]2 years ago
8 0

The ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

The missing diagram is attched with the answer.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

SAS will be used to prove the congruence of ΔABR ≅ ΔACR

In both the triangle we have a common side , AR

AB = AC (given)

∠ B A R =  ∠R A C ( given equal)

So as the two side and the included angle is equal

Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

To know more about Triangle

brainly.com/question/2773823

#SPJ1

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
Vesnalui [34]
<h3>The dimensions of the given rectangular box are:</h3><h3>L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

= Area of the base +  4 x ( Area of the adjacent faces)

=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

Also, Area of the box  = S x S x H  =  S²H

⇒ S²H = 2000

\implies H = \frac{2000}{S^2}

Substituting the value of H in (1), we get:

A = S^2 + 4 SH =  S^2 + 4 S(\frac{2000}{S^2}) =  S^2 + (\frac{8000}{S})\\\implies A  =  S^2 + (\frac{8000}{S})

Now, to minimize the area put :

(\frac{dA}{dS} ) = 0 \implies 2S  - \frac{8000}{S^2}  = 0\\\implies S^3 = 4000\\\implies S  = 15.874 \approx 16 cm

Putting the value of S  = 15.874 cm in the value of H , we get:

\implies H = \frac{2000}{S^2}  =  \frac{2000}{(15.874)^2} = 7.8937 cm

Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

3 0
3 years ago
Help please thank you
yarga [219]
X = 400!
Have a goody day:)
8 0
3 years ago
How would I get 517527*6617 by dividing 57765566 and 62762526272​la la la la la la la
ankoles [38]

Answer:

I'm not able to answer your question

Step-by-step explanation:

due to the fact that you can't divide with multiplication I'm unsure on how to help you

4 0
2 years ago
What is inequality for 48-15=
igomit [66]

Answer:

48-15 is 33

Step-by-step explanation:

3 0
3 years ago
Divide 2 over 3 ÷ 1 over 6 = ____. Numerical Answers Expected! Answer for Blank 1:
Anna [14]

Answer: the answer is 4

Step-by-step explanation:

2/3 / 1/6

change the places of 1/6 to 6/1

2/3 / 6/1

the division sign changes to multiplication

2/3 * 6/1

cancel out the 3 and 6 to give

2/1 *  2/1

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5 0
2 years ago
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